Journal articles: 'Principle of minimum entropy production'

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Maes, Christian, and Karel Netocny. "Minimum entropy production principle." Scholarpedia 8, no. 7 (2013): 9664. http://dx.doi.org/10.4249/scholarpedia.9664.

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Bartelt, Perry, and Othmar Buser. "The principle of minimum entropy production and snow structure." Journal of Glaciology 50, no. 170 (2004): 342–52. http://dx.doi.org/10.3189/172756504781829945.

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AbstractAn essential problem in snow science is to predict the changing form of ice grains within a snow layer. Present theories are based on the idea that form changes are driven by mass diffusion induced by temperature gradients within the snow cover. This leads to the well-established theory of isothermal- and temperature-gradient metamorphism. Although diffusion theory treats mass transfer, it does not treat the influence of this mass transfer on the form — the curvature radius of the grains and bonds — directly. Empirical relations, based on observations, are additionally required to predict flat or rounded surfaces. In the following, we postulate that metamorphism, the change of ice surface curvature and size, is a process of thermodynamic optimization in which entropy production is minimized. That is, there exists an optimal surface curvature of the ice grains for a given thermodynamic state at which entropy production is stationary. This state is defined by differences in ice and air temperature and vapor pressure across the interfacial boundary layer. The optimal form corresponds to the state of least wasted work, the state of minimum entropy production. We show that temperature gradients produce a thermal non-equilibrium between the ice and air such that, depending on the temperature, flat surfaces are required to mimimize entropy production. When the temperatures of the ice and air are equal, larger curvature radii are found at low temperatures than at high temperatures. Thus, what is known as isothermal metamorphism corresponds to minimum entropy production at equilibrium temperatures, and so-called temperature-gradient metamorphism corresponds to minimum entropy production at none-quilibrium temperatures. The theory is in good agreement with general observations of crystal form development in dry seasonal alpine snow.

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Lisitsyn, Viktor, Nikolai Matveev, Nina Kamalova, and Natalya Evsikova. "Maximum entropy production principle in forest dynamics modelling." BIO Web of Conferences 145 (2024): 03005. http://dx.doi.org/10.1051/bioconf/202414503005.

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Forest ecosystems are vivid representatives of open non-equilibrium systems. The existence of extreme principles in “ecological thermodynamics” is a subject of discussion in the works of many physicists, ecologists and researchers dealing with non-equilibrium thermodynamics. At the same time, the problem of the connection between the principles of maximum and minimum entropy production has been studied in detail enough in the works of L. M. Martyushev et al. However, for forest ecosystems, the works that point out the connection of these fundamental principles are clearly insufficient. Usually, these principles are opposed to each other. In the proposed work, within the framework of a unified approach, the dependencies of the entropy production density and the entropy density have modeled using the example of a pine (Pínus sylvestris) stand of the 1-grade forest site capacity. It has shown that entropy production and entropy production density take both maximum and minimum values in the process of ecosystem evolution.

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Aulin, V. V., S. V. Lysenko, A. V. Hrynkiv, and D. V. Holub. "Thermodynamic substantiation of the direction of nonequilibrium processes in triadconjugations of machine parts based on the principles of maximum and minimum entropy." Problems of Tribology 27, no. 2/104 (June 24, 2022): 55–63. http://dx.doi.org/10.31891/2079-1372-2022-104-2-55-63.

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The article gives a thermodynamic substantiation of the direction of nonequilibrium processes in tribocouples of machine parts, in tribosystems, based on the principles of maximum and minimum entropy. It is clarified how nonequilibrium processes can be substantiated on the basis of the minimum and maximum function of entropy production: linear and nonlinear nonequilibrium processes and their different thermodynamics. The entropy production function is considered as a function of thermodynamic force flows and thermodynamic flows. The theory of nonequilibrium processes is based on the Liouville equation for classical tribosystems, taking into account external influences or perturbations. It is shown that in thermodynamic processes in tribosystems the principle of entropy maximization is realized as the second principle of synergetics.

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Maes, Christian, and Karel Netočný. "Minimum entropy production principle from a dynamical fluctuation law." Journal of Mathematical Physics 48, no. 5 (May 2007): 053306. http://dx.doi.org/10.1063/1.2738753.

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Márkus, Ferenc, and Katalin Gambár. "Minimum Entropy Production Effect on a Quantum Scale." Entropy 23, no. 10 (October 15, 2021): 1350. http://dx.doi.org/10.3390/e23101350.

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The discovery of quantized electric conductance by the group of van Wees in 1988 was a major breakthrough in physics. A decade later, the group of Schwab has proven the existence of quantized thermal conductance. Advancing from these and many other aspects of the quantized conductances in other phenomena of nature, the concept of quantized entropy current can be established and it eases the description of a transferred quantized energy package. This might yield a universal transport behavior of the microscopic world. During the transfer of a single energy quantum, hν, between two neighboring domains, the minimum entropy increment is calculated. It is pointed out that the possible existence of the minimal entropy transfer can be formulated. Moreover, as a new result, it is proved that this minimal entropy transfer principle is equivalent to the Lagrangian description of thermodynamics.

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Wang, Chengpeng, Longsheng Xue, and Keming Cheng. "Application of the minimum entropy production principle to shock reflection induced by separation." Journal of Fluid Mechanics 857 (October 27, 2018): 784–805. http://dx.doi.org/10.1017/jfm.2018.762.

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In this paper separation-induced shock reflection is studied theoretically and experimentally. An analytical model is proposed to establish the connections among upstream conditions, downstream conditions and shock configurations. Furthermore, the minimum entropy production principle is employed to determine the incident shock angles as well as the criterion for the transition from regular reflection to Mach reflection, which agrees well with experimental results. Additionally, a solution path for a reflected shock that fulfills the minimum entropy production principle is found in the overall regular reflection domain, based on which the steadiest shock configuration may be determined according to upstream and downstream conditions.

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Suzuki, Masuo. "Irreversibility and entropy production in transport phenomena, III—Principle of minimum integrated entropy production including nonlinear responses." Physica A: Statistical Mechanics and its Applications 392, no. 2 (January 2013): 314–25. http://dx.doi.org/10.1016/j.physa.2012.08.021.

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Xu, Guobin, Lina Zhao, and Chih Ted Yang. "Derivation and verification of minimum energy dissipation rate principle of fluid based on minimum entropy production rate principle." International Journal of Sediment Research 31, no. 1 (March 2016): 16–24. http://dx.doi.org/10.1016/j.ijsrc.2014.09.004.

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Hohm, Uwe, and Christoph Schiller. "Testing the Minimum System Entropy and the Quantum of Entropy." Entropy 25, no. 11 (November 3, 2023): 1511. http://dx.doi.org/10.3390/e25111511.

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Experimental and theoretical results about entropy limits for macroscopic and single-particle systems are reviewed. All experiments confirm the minimum system entropy S⩾kln2. We clarify in which cases it is possible to speak about a minimum system entropykln2 and in which cases about a quantum of entropy. Conceptual tensions with the third law of thermodynamics, with the additivity of entropy, with statistical calculations, and with entropy production are resolved. Black hole entropy is surveyed. Claims for smaller system entropy values are shown to contradict the requirement of observability, which, as possibly argued for the first time here, also implies the minimum system entropy kln2. The uncertainty relations involving the Boltzmann constant and the possibility of deriving thermodynamics from the existence of minimum system entropy enable one to speak about a general principle that is valid across nature.

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Lisitsyn, Victor Ivanovich, and Nikolai Nikolatvich Matveev. "Entropy Production Using Ecological and Physiological Models of Stand Growth Dynamics as an Example." Forests 13, no. 11 (November 18, 2022): 1948. http://dx.doi.org/10.3390/f13111948.

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According to the Prigogine–Glansdorff principle, in a thermodynamic system where non-equilibrium processes occur, the change in entropy production is negative or equal to zero. Forest plantations are an example of such thermodynamic systems. Based on the ecological–physiological models of the forest stand growth dynamics developed by the authors of this work, the specific entropy production in the growth of stands was calculated, which is known to be proportional to the entropy production. It is shown that at the age when the minimum value of the specific entropy production is reached, the biomass of the stand has a maximum value. This conclusion is an important predictive factor for practical forestry, since determining the time of the minimum entropy production allows us to determine the time interval at which the biomass of the stand reaches its maximum value.

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Fox, Stephen, Tapio Heikkilä, Eric Halbach, and Samuli Soutukorva. "Bio-Inspired Intelligent Systems: Negotiations between Minimum Manifest Task Entropy and Maximum Latent System Entropy in Changing Environments." Entropy 25, no. 11 (November 14, 2023): 1541. http://dx.doi.org/10.3390/e25111541.

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In theoretical physics and theoretical neuroscience, increased intelligence is associated with increased entropy, which entails potential access to an increased number of states that could facilitate adaptive behavior. Potential to access a larger number of states is a latent entropy as it refers to the number of states that could possibly be accessed, and it is also recognized that functioning needs to be efficient through minimization of manifest entropy. For example, in theoretical physics, the importance of efficiency is recognized through the observation that nature is thrifty in all its actions and through the principle of least action. In this paper, system intelligence is explained as capability to maintain internal stability while adapting to changing environments by minimizing manifest task entropy while maximizing latent system entropy. In addition, it is explained how automated negotiation relates to balancing adaptability and stability; and a mathematical negotiation model is presented that enables balancing of latent system entropy and manifest task entropy in intelligent systems. Furthermore, this first principles analysis of system intelligence is related to everyday challenges in production systems through multiple simulations of the negotiation model. The results indicate that manifest task entropy is minimized when maximization of latent system entropy is used as the criterion for task allocation in the simulated production scenarios.

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GIANNETTI, Niccolo, Kiyoshi SAITO, and Hiroaki YOSHIMURA. "Formulation of steady-state void fraction through the principle of minimum entropy production." Journal of Thermal Science and Technology 15, no. 3 (2020): JTST0025. http://dx.doi.org/10.1299/jtst.2020jtst0025.

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Vincze, Gyula, and Andras Szasz. "New look at an old principle: an alternative formulation of the theorem of minimum entropy production." JOURNAL OF ADVANCES IN PHYSICS 16, no. 1 (November 16, 2019): 508–17. http://dx.doi.org/10.24297/jap.v16i1.8516.

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We formulate a direct generalization of the Prigogine’s principle of minimum entropy production, according to a new isoperimetric variation principle by classical non-equilibrium thermodynamics. We focus our attention on the possible mathematical forms of constitutive equations. Our results show that the Onsager’s reciprocity relations are consequences of the suggested variation principle. Furthermore, we show by the example of the thermo-diffusion such reciprocity relations for diffusion tensor, which are missing in Onsager’s theory. Our theorem applied to the non-linear constitutive equations indicates the existence of dissipation potential. We study the forms of general reciprocity with the dissipation potential. This consideration results in a weaker condition than Li-Gyarmati-Rysselberhe reciprocity has. Furthermore, in the case of electric conductivity in the magnetic field, our theorem shows the correct dependence of the Onsager’s kinetic coefficient by the axial vector of magnetic induction. We show in general that the evolution criterion of the global entropy production is a Lyapunov-function, and so the final stationer state is independent of the initial, time-independent boundary conditions.

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Tsizhmovska, Natalia L., and Leonid M. Martyushev. "Principle of Least Effort and Sentence Length in Public Speaking." Entropy 23, no. 8 (August 8, 2021): 1023. http://dx.doi.org/10.3390/e23081023.

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The analysis of sentence lengths in the inaugural speeches of US presidents and the annual speeches of UK party leaders is carried out. Transcripts of the speeches are used, rather than the oral production. It is discovered that the average sentence length in these speeches decreases linearly with time, with the slope of 0.13 ± 0.03 words/year. It is shown that among the analyzed distributions (log-normal, folded and half normal, Weibull, generalized Pareto, Rayleigh) the Weibull is the best distribution for describing sentence length. These two results can be considered a consequence of the principle of least effort. The connection of this principle with the well-known principles of maximum and minimum entropy production is discussed.

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Zivieri, Roberto, and Nicola Pacini. "Entropy Density Acceleration and Minimum Dissipation Principle: Correlation with Heat and Matter Transfer in Glucose Catabolism." Entropy 20, no. 12 (December 5, 2018): 929. http://dx.doi.org/10.3390/e20120929.

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The heat and matter transfer during glucose catabolism in living systems and their relation with entropy production are a challenging subject of the classical thermodynamics applied to biology. In this respect, an analogy between mechanics and thermodynamics has been performed via the definition of the entropy density acceleration expressed by the time derivative of the rate of entropy density and related to heat and matter transfer in minimum living systems. Cells are regarded as open thermodynamic systems that exchange heat and matter resulting from irreversible processes with the intercellular environment. Prigogine’s minimum energy dissipation principle is reformulated using the notion of entropy density acceleration applied to glucose catabolism. It is shown that, for out-of-equilibrium states, the calculated entropy density acceleration for a single cell is finite and negative and approaches as a function of time a zero value at global thermodynamic equilibrium for heat and matter transfer independently of the cell type and the metabolic pathway. These results could be important for a deeper understanding of entropy generation and its correlation with heat transfer in cell biology with special regard to glucose catabolism representing the prototype of irreversible reactions and a crucial metabolic pathway in stem cells and cancer stem cells.

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Ulyanov, V. S., K. Yamafuji, S. V. Ulyanov, and K. Tanaka. "Computational Intelligence with New Physical Controllability Measure for Robust Control Algorithm of Extension- Cableless Robotic Unicycle." Journal of Advanced Computational Intelligence and Intelligent Informatics 3, no. 2 (April 20, 1999): 136–47. http://dx.doi.org/10.20965/jaciii.1999.p0136.

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The biomechanical robotic unicycle system uses internal world representation described by emotion, instinct, and intuition. The basic intelligent control concept for a complex nonlinear nonholonomic biomechanical systems, as benchmark the extension-cableless robotic unicycle, uses a thermodynamic approach to study optimum control processes in complex nonlinear dynamic systems is represented here. An algorithm for calculating the entropy production rate is developed. A new physical measure, the minimum entropy production rate, is used as a Genetic Algorithm (GA) fitness function to calculate robotic unicycle robustness controllability and intelligent behavior. The interrelation between the Lyapunov function - a measure of stochastic stability - and the entropy production rate - the physical measure of controllability - in the biomechanical model is the mathematical background for designing soft computing algorithms in intelligent robotic unicycle control. The principle of minimum entropy production rate in control systems and control object motion in general is a new physical concept of smart robust control for the complex nonlinear nonholonomic biomechanical system, as benchmark, extension-cableless robotic unicycle.

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Giannetti, Niccolò, Seiichi Yamaguchi, Kiyoshi Saito, and Hiroaki Yoshimura. "Semitheoretical formulation of annular flow void fraction using the principle of minimum entropy production." International Journal of Thermal Sciences 158 (December 2020): 106522. http://dx.doi.org/10.1016/j.ijthermalsci.2020.106522.

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Chen, Qun, Hongye Zhu, Ning Pan, and Zeng-Yuan Guo. "An alternative criterion in heat transfer optimization." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2128 (October 13, 2010): 1012–28. http://dx.doi.org/10.1098/rspa.2010.0293.

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Entropy generation is recognized as a common measurement of the irreversibility in diverse processes, and entropy generation minimization has thus been used as the criterion for optimizing various heat transfer cases. To examine the validity of such entropy-based irreversibility measurement and its use as the optimization criterion in heat transfer, both the conserved and non-conservative quantities during a heat transfer process are analysed. A couple of irreversibility measurements, including the newly defined concept entransy , in heat transfer process are discussed according to different objectives. It is demonstrated that although thermal energy is conserved, the accompanied system entransy and entropy in heat transfer process are non-conserved quantities. When the objective of a heat transfer is for heating or cooling, the irreversibility should be measured by the entransy dissipation, whereas for heat-work conversion, the irreversibility should be described by the entropy generation. Next, in Fourier’s Law derivation using the principle of minimum entropy production, the thermal conductivity turns out to be inversely proportional to the square of temperature. Whereas, by using the minimum entransy dissipation principle, Fourier’s Law with a constant thermal conductivity as expected is derived, suggesting that the entransy dissipation is a preferable irreversibility measurement for heat transfer.

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Li, H., and G. Ben‐Dor. "Application of the principle of minimum entropy production to shock wave reflections. I. Steady flows." Journal of Applied Physics 80, no. 4 (August 15, 1996): 2027–37. http://dx.doi.org/10.1063/1.363096.

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Li, H., and G. Ben‐Dor. "Application of the principle of minimum entropy production to shock wave reflections. II. Pseudosteady flows." Journal of Applied Physics 80, no. 4 (August 15, 1996): 2038–48. http://dx.doi.org/10.1063/1.363097.

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Mamedov, M. M. "On the incorrectness of the traditional proof of the prigogine principle of minimum entropy production." Technical Physics Letters 29, no. 4 (April 2003): 340–41. http://dx.doi.org/10.1134/1.1573310.

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Ulyanov, V. S., S. A. Panfilov, S. V. Ulyanov, L. V. Litvintseva, I. Kurawaki, and K. Tanaka. "Principle of minimum entropy production in applied soft computing for advanced intelligent robotics and mechatronics." Soft Computing 4, no. 3 (September 2000): 141–46. http://dx.doi.org/10.1007/s005000000034.

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Chiarelli, Piero. "Far from Equilibrium Maximal Principle Leading to Matter Self-Organization." JOURNAL OF ADVANCES IN CHEMISTRY 5, no. 3 (December 2, 2009): 753–83. http://dx.doi.org/10.24297/jac.v5i3.2664.

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In this work an extremal principle driving the far from equilibrium evolution of a system of structureless particles is derived by using the stochastic quantum hydrodynamic analogy. For a classical phase (i.e., the quantum correlations decay on a distance smaller than the mean inter-molecular distance) the far from equilibrium kinetic equation can be cast in the form of a Fokker-Plank equation whose phase space velocity vector maximizes the dissipation of the energy-type function, named here, stochastic free energy.Near equilibrium the maximum stochastic free energy dissipation (SFED) is shown to be compatible with the Prigogine’s principle of minimum entropy production. Moreover, in quasi-isothermal far from equilibrium states, the theory shows that, in the case of elastic molecular collisions and in absence of chemical reactions, the maximum SFED reduces to the maximum free energy dissipation.When chemical reactions or relevant thermal gradients are present, the theory highlights that the Sawada enunciation of maximum free energy dissipation can be violated.The proposed model depicts the Prigogine’s principle of minimum entropy production near-equilibrium and the far from equilibrium Sawada’s principle of maximum energy dissipation as two complementary principia of a unique theory where the latter one is a particular case of the more general one of maximum stochastic free energy dissipation.Following the tendency to reach the highest rate of SFED, a system relaxing to equilibrium goes through states with higher order so that the matter self-organization becomes possible.

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Cai, Yuan Zhen. "Irreversible Thermodynamic Description of Domain Occurrences in Ferroics." Advanced Materials Research 560-561 (August 2012): 140–44. http://dx.doi.org/10.4028/www.scientific.net/amr.560-561.140.

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Based on the irreversible thermodynamics, a irreversible thermodynamic description of domain occurrences in ferroics such as ferroelectrics, ferromagnetics and ferroelastics was given. The ferroic domain structures occur at the ferroic phase transitions from the prototype phases to the ferroic phases. The processes of transition are stationary state processes so that the principle of minimum entropy production is satisfied. The domain occurrences are a consequence of this principle. The time-spatial symmetry related to the domains and their occurrences was also expounded.

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Marín, Dolores, and Bartolomé Sabater. "The cancer Warburg effect may be a testable example of the minimum entropy production rate principle." Physical Biology 14, no. 2 (April 28, 2017): 024001. http://dx.doi.org/10.1088/1478-3975/aa64a7.

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DASGUPTA, B., DASTGEER SHAIKH, Q. HU, and G. P. ZANK. "Minimum dissipative relaxed states applied to laboratory and space plasmas." Journal of Plasma Physics 75, no. 2 (April 2009): 273–87. http://dx.doi.org/10.1017/s0022377808007563.

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AbstractThe usual theory of plasma relaxation, based on the selective decay of magnetic energy over the (global) magnetic helicity, predicts a force-free state for a plasma. Such a force-free state is inadequate to describe most realistic plasma systems occurring in laboratory and space plasmas as it produces a zero pressure gradient and cannot couple magnetic fields with flow. A different theory of relaxation has been proposed by many authors, based on a well-known principle of irreversible thermodynamics, the principle of minimum entropy production rate which is equivalent to the minimum dissipation rate of energy. We demonstrate the applicability of minimum dissipative relaxed states to various self-organized systems of magnetically confined plasma in the laboratory and in the astrophysical context. Such relaxed states are shown to produce a number of basic characteristics of laboratory plasma confinement systems and solar arcade structure.

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Jiménez, Edward, and Esteban E. Jimenez. "Quantum Gravity Strategy for the Production of Dark Matter Using Cavitation by Minimum Entropy." Proceedings 46, no. 1 (July 15, 2020): 31. http://dx.doi.org/10.3390/ecea-5-06664.

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The minimum entropy is responsible for the formation of dark matter bubbles in a black hole, while the variation in the density of dark matter allows these bubbles to leave the event horizon. Some experimental evidence supports the dark matter production model in the inner vicinity of the border of a black hole. The principle of minima entropy explains how cavitation occurs on the event horizon, which in turn complies with the Navier–Stokes 3D equations. Moreover, current works in an axiomatic way show that in the event horizon Einstein’s equations are equivalent to Navier–Stokes’ equations. Thus, The solutions of Einstein combined with the boundary conditions establish a one-to-one correspondence with solutions of incompressible Navier–Stokes and in the near-horizon limit it provides a precise mathematical sense in which horizons are always incompressible fluids. It is also essential to understand that Cavitation by minimum entropy is the production of dark matter bubbles, by variation of the pressure inside or on the horizon of a black hole, in general Δ p = p n + 1 − p n = σ n σ n + 1 − 1 p n or in particular Δ p = − ( 1 − P ) p 0 , where ∂ P ∂ t = Δ p ρ 0 P . Finally, fluctuations in the density of dark matter can facilitate its escape from a black hole, if and only if there is previously dark matter produced by cavitation inside or on the horizon of a black hole and also ρ D M < ρ B .

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Ulyanov, Sergey, Viktor Ulyanov, Andrey Reshetnikov, Olga Tyatyushkina, and Kazuo Yamafuji. "Intelligent robust control system of robotic unicycle based on the end-to-end soft computing technology." System Analysis in Science and Education, no. 4 (2019) (2019): 58–86. http://dx.doi.org/10.37005/2071-9612-2019-4-58-86.

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The concept of an intelligent control system for a complex nonlinear biomechanical system of an extension cableless robotic unicycle is considered. A thermodynamic approach to study optimal control processes in complex nonlinear dynamic systems is used. The results of stochastic simulation of a fuzzy intelligent control system for various types of external/ internal excitations for a dynamic, globally unstable control object -extension cableless robotic unicycle based on Soft Computing (Computational Intelligence Toolkit) technology are presented. A new approach to design an intelligent control system based on the principle of the minimum entropy production (minimum of useful resource losses) determination in the movement of the control object and the control system is developed. This determination as a fitness function in the genetic algorithm is used to achieve robust control of a robotic unicycle. An algorithm for entropy production calculation and representation of their relationship with the Lyapunov function (a measure of stochastic robust stability) is described.

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VORONIN , MIKHAIL, NATALIA GAVRILOVA , ELEONORA KOLTSOVA, and ANDREY ZHENSA. "SIMULATION OF AGGREGATION PROCESS IN CERIUM AND ZIRCONIUM DIOXIDE NANOPARTICLES." Computational Nanotechnology 9, no. 3 (September 28, 2022): 73–79. http://dx.doi.org/10.33693/2313-223x-2022-9-3-73-79.

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A study of the aggregative stability of the CeO2-ZrO2 system was carried out in various pH ranges of the medium. To create a mathematical model of the stability of aggregates, the generalized DLVO theory was taken. The parameters of the structural component of the potential energy of particle interaction are determined using the principle of minimum entropy production. The limiting particle sizes of an an aggregatively stable system are determined.

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Marsik, Frantisek, Bernhard Weigand, Martin Tomas, Ondrej Tucek, and Pavel Novotny. "On the Efficiency of Electrochemical Devices from the Perspective of Endoreversible Thermodynamics." Journal of Non-Equilibrium Thermodynamics 44, no. 4 (October 25, 2019): 425–37. http://dx.doi.org/10.1515/jnet-2018-0076.

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Abstract The current work presents a concept that deals with the production of entropy generated by non-equilibrium processes in consequence of mass and energy transfer. The often used concept of endoreversible thermodynamics is based on the non-realistic conjecture that the entire entropy production is realized at the system boundary. In this contribution, an open system in a thermodynamically non-equilibrium state is assumed. Production of entropy is generated due to non-equilibrium processes accompanied by energy conversion. The steady state of the system is maintained by a negative entropy flux. The conclusions for expansion energy conversion, i. e., thermal machines, confirm the general outcomes of the endoreversible thermodynamics. However, the presented conclusions related to non-expansion energy conversion offer a new perspective on the principle of minimum entropy production and the corresponding stability conditions at steady state. The analysis of the energy conversion in closed cycles is presented for fuel cells, i. e., non-expansion energy conversion. The efficiency of the energy conversion is maximal at zero power output. Moreover, the efficiency of the fuel cells, and consequently the efficiency of all non-expansion energy conversion processes, depends on the load and then the maximal possible efficiency can be determined.

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Wang, Jin Song. "Irreversible Thermodynamic Discussions about Ferroelectric Phase Transitions." Advanced Materials Research 756-759 (September 2013): 4419–22. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.4419.

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The irreversibility of ferroelectric phase transitions has been studied by using the irreversible thermodynamics. The thermal hysteresis of first-order ferroelectric phase transitions and the polydomain structure of ferroelectrics can be explained on the basis of the principle of minimum entropy production. A conclusion has been derived that the thermal hysteresis is not an intrinsic property of a system in which a first-order ferroelectric phase transition occurs. The finiteness of the systems surface is connected with the thermal hysteresis.

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Sadeghi Ghuchani, Mostafa. "Comment on: The cancer Warburg effect may be a testable example of the minimum entropy production rate principle." Physical Biology 15, no. 2 (February 8, 2018): 028001. http://dx.doi.org/10.1088/1478-3975/aa8eab.

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Hu Yin-Qiao. "Ordered structure and system development of the force dissipation system(Ⅰ),Principle of minimum entropy production and ordered structure." Acta Physica Sinica 52, no. 6 (2003): 1379. http://dx.doi.org/10.7498/aps.52.1379.

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Krishna, Rajamani. "Resolving steady-state multiplicities for diffusion with surface chemical reaction by invoking the Prigogine principle of minimum entropy production." Chemical Engineering Research and Design 128 (December 2017): 231–39. http://dx.doi.org/10.1016/j.cherd.2017.10.028.

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Nguyen, F., A. Samain, and Ph Ghendrih. "Minimum Entropy Production Principle Applied to Decontaminating Regime in a Stochastic Layer in Presence of a Radial Electric Field." Contributions to Plasma Physics 32, no. 3-4 (1992): 371–76. http://dx.doi.org/10.1002/ctpp.2150320330.

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Ma, Wenjiao, Shuguang Xiang, and Li Xia. "Energy-Saving Analysis of Epichlorohydrin Plant Based on Entransy." Processes 11, no. 3 (March 20, 2023): 954. http://dx.doi.org/10.3390/pr11030954.

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To improve energy efficiency and to recover energy, various mathematical models, such as pinch analysis, entropy analysis, exergy analysis, and entransy analysis, have been established to analyze heat transfer networks. In this study, these methods were applied to analyze the energy-saving effect of the epichlorohydrin unit in a certain enterprise. The results showed that when the minimum heat transfer temperature difference (ΔTmin) was 10K, 15K, and 20K, the efficiencies of the second law of thermodynamics calculated by entropy analysis were 88.02%, 93.52%, and 99.49%, respectively. The analytical method calculated an efficiency of 61.01%, 59.28%, and 57.27%, respectively, with public works’ savings of 16.59%, 14.86%, and 12.02%. The pinch analysis method achieved public works’ savings of 22.80%, 21.50%, and 19.35%. The entransy analysis method calculated an entransy transfer efficiency of 42.81%, 42.13%, and 41.00%, respectively, with public works’ savings of 19.41%, 18.01%, and 15.70%. Based on the results, entropy analysis was found to be contrary to the principle of minimum entropy production. Exergy analysis was not able to establish a heat transfer network. The pinch analysis method was not suitable for determining the thermal efficiency of a heat transfer network as the criterion for evaluating energy saving. On the other hand, the entransy analysis method was able to establish a heat transfer network and evaluate the heat utilization of the network by entransy transfer efficiency. Overall, the data analysis was reasonable.

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Liu, Zhao Cun, Wei Jia Fan, Yao Chen Qin, and Wei Yang Yan. "From the Viewpoint of Water-Sediment Characters to Approach the General Criteria for Waterway Regulating with Complex Shoals." Applied Mechanics and Materials 405-408 (September 2013): 1407–10. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.1407.

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Compared with each other of existed schemes and effects of the waterway regulating with complex shoals, from the viewpoint of water-sediment interacting evolutional properties and their effects on complex shoals of waterway, the results show that, the evolutional processes of channel morphology observe the principles of maximum entropy in equilibrium state and minimum entropy production rate in non-equilibrium state, in energy words, it is the minimum energy dissipation rate. The vortex moving dominates the sediment transport. From the practical engineering viewpoint, the general criteria for waterway regulating with complex shoals were investigated, the results may be valuable to regulating study of the mountain rivers.

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Sabater, Bartolomé, and Dolores Marín. "Reply to Comment on ‘The cancer Warburg effect may be a testable example of the minimum entropy production rate principle’." Physical Biology 15, no. 2 (February 8, 2018): 028002. http://dx.doi.org/10.1088/1478-3975/aa8ead.

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DiVita, A., and M. Brusati. "Minimum entropy production principle due to ohmic dissipation in tokamaks and determination of non-inductive current density profiles on JET." Plasma Physics and Controlled Fusion 37, no. 10 (October 1, 1995): 1075–94. http://dx.doi.org/10.1088/0741-3335/37/10/002.

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Tang, Wenxin, Peiyao Li, and Bonan Wang. "Research on Raw Material Ordering and Transportation Strategy Based on Integer Programming." BCP Business & Management 23 (August 4, 2022): 417–25. http://dx.doi.org/10.54691/bcpbm.v23i.1380.

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This paper studies the raw material ordering and transportation strategy based on the principle of integer programming. Based on the production data of a certain enterprise, the original attachment data is firstly analyzed, 6 indicators are selected and the weight coefficient of each indicator is determined by the TOPSIS entropy weight method. Then, a 0-1 integer programming model for solving the minimum number of suppliers is established, and the most economical ordering scheme model is established with the least comprehensive cost as the objective function. Finally, taking the minimum transshipment loss as the goal and the transporter's carrying capacity as the constraint condition, the transshipment plan is solved by the greedy algorithm. After analyzing the ordering plan and the transshipment plan, the ordering plan can meet the weekly production demand, and the average weekly inventory is 59540 cubic meters, the mean square error is 222.67 cubic meters; the average loss of the transshipment scheme is 8.33%, and the ratio of suppliers with two or more transshipments to the total suppliers is 3.85%.

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GIANNETTI, Niccolo, Kiyoshi SAITO, and Hiroaki YOSHIMURA. "Errata: Formulation of steady-state void fraction through the principle of minimum entropy production [Journal of Thermal Science and Technology (2020jtst0025)]." Journal of Thermal Science and Technology 15, no. 3 (2020): n/a. http://dx.doi.org/10.1299/jtst.2020jtste01.

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Holub, Richard A., P. A. Ramachandran, and M. P. Duduković. "Modelling hysterisis phenomena in systems of multiple slits: Application of the principle of a minimum rate of entropy production at steady state." Mathematical and Computer Modelling 11 (1988): 26–31. http://dx.doi.org/10.1016/0895-7177(88)90447-5.

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Gusev, E. M. ""Green farming" - a set of technologies of the future." BIO Web of Conferences 36 (2021): 07003. http://dx.doi.org/10.1051/bioconf/20213607003.

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The purpose of the work was to demonstrate the evolution of agricultural technologies, which leads to the orientation of agriculture towards the use of nature-like farming, using the example of the human civilization development. It was shown that in the XX century, the stage of development of soil cultivation technologies, associated with the transition from "gray" extensive technologies for managing natural resources, which were focused on momentary economic feasibility, to non-traditional farming technologies, began. It was demonstrated that a natural transition is currently taking place from the technology development strategy based on the principle of maximum entropy production by G. Ziegler, to the strategy of minimum entropy production by I. Prigozhin, which is based on the rationalization of the use of the planet's resources. It was confirmed that at the present stage humanity has approached the change of technologies from the extensive development and use of natural resources to rationalizing their use − "green farming", which is characterized by a more natural agricultural technology of soil cultivation; mulching its surface with plant residues which leads to a decrease in soil erosion and unproductive evaporation; minimizing soil compaction; reducing the need for irrigation; reducing the use of herbicides through the use of cover crops, etc.

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Nosonovsky, Michael, and Bharat Bhushan. "Thermodynamics of surface degradation, self-organization and self-healing for biomimetic surfaces." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1893 (April 28, 2009): 1607–27. http://dx.doi.org/10.1098/rsta.2009.0009.

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Friction is a dissipative irreversible process; therefore, entropy is produced during frictional contact. The rate of entropy production can serve as a measure of degradation (e.g. wear). However, in many cases friction leads to self-organization at the surface. This is because the excess entropy is either driven away from the surface, or it is released at the nanoscale, while the mesoscale entropy decreases. As a result, the orderliness at the surface grows. Self-organization leads to surface secondary structures either due to the mutual adjustment of the contacting surfaces (e.g. by wear) or due to the formation of regular deformation patterns, such as friction-induced slip waves caused by dynamic instabilities. The effect has practical applications, since self-organization is usually beneficial because it leads to friction and wear reduction (minimum entropy production rate at the self-organized state). Self-organization is common in biological systems, including self-healing and self-cleaning surfaces. Therefore, designing a successful biomimetic surface requires an understanding of the thermodynamics of frictional self-organization. We suggest a multiscale decomposition of entropy and formulate a thermodynamic framework for irreversible degradation and for self-organization during friction. The criteria for self-organization due to dynamic instabilities are discussed, as well as the principles of biomimetic self-cleaning, self-lubricating and self-repairing surfaces by encapsulation and micro/nanopatterning.

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Sonnino, Giorgio, Alessandro Cardinali, Gyorgy Steinbrecher, Philippe Peeters, Alberto Sonnino, and Pasquale Nardone. "Reference distribution functions for magnetically confined plasmas from the minimum entropy production theorem and the MaxEnt principle, subject to the scale-invariant restrictions." Physics Letters A 377, no. 43 (December 2013): 3071–77. http://dx.doi.org/10.1016/j.physleta.2013.09.017.

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Rakin, V. I. "Transitions between equilibrium and nonequilibrium phenomena in the description of crystal growth." Kristallografiâ 69, no. 4 (September 25, 2024): 705–19. http://dx.doi.org/10.31857/s0023476124040188.

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The close intertwining of equilibrium and nonequilibrium thermodynamic representations and transitions between the two limiting principles of thermodynamics: the second beginning and the principle of least coercion (minimum entropy production in the stationary regime) constitute the main content of phenomenological theories of crystal growth. The difference of basic postulates of two sections of thermodynamics forces to discuss problems of reversibility and irreversibility of time, scales of observed phenomena and rules of conjugation of thermodynamic forces and flows in theories of crystal growth. A variant of the solution of some conjugation problems is shown on the example of the fluctuation model of dislocation crystal growth, which is based on the stationary isothermal process of thermodynamic free energy fluctuations. In the case of the limiting mode of adsorption of impurities on the crystal face according to the Langmuir model, the free energy fluctuations possessing the absence of the memory effect allow us to identify three chemical potentials of building particles that determine the corresponding values of solution supersaturations realized at different scale levels at the growing crystal face containing a helical dislocation. The supersaturations control quasi-equilibrium and nonequilibrium thermodynamic processes that constitute a single dislocation mechanism of crystal growth.

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Aznagulova, Guzel M., and Ilmir R. Mustafin. "A systematic approach as a methodological basis for the knowledge of the reception of law." Russian Journal of Legal Studies (Moscow) 7, no. 3 (February 1, 2021): 21–29. http://dx.doi.org/10.17816/rjls50309.

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The study analyzed the principles of interaction between the national legal system such as the reception of law. The reception of law, being a cultural phenomenon of social progress, occurs in a specific social environment backed up by the growing political, economic, social, and legal integration. It serves as a significant factor of mutual enrichment with universal human values. The process is governed by certain methodological prerequisites, such as principles validated by the objective evolution of nature and society. The research is based on the systemic approach to legal phenomena and the dialectical method, which calls for their study in being, functioning, and development. The meaning and significance of the widely used categories of the legal discourse of social phenomena, such as methodology, interaction, and movement, have been analyzed. Among the variety of movement interpretations, the most fruitful one in the legal science is the extended interpretation by Hegel and its identification with sublation in the dialectical method, emphasizing the unity of movement and legal matter. Such understanding of movement necessitates permanent improvement of the legal system and search for conditions and ways of its stable functioning in the existing external environment. The author notes the possible applications of natural sciences principles, such as Le Chateliers principle and Prigogines principle of minimum entropy production, reflecting the facts of stability and directionality of the establishment of a new stability in the reviewed system and other open system interactions. A set of methodological principles of interaction between national legal systems have been formulated based on the systemic approach and the natural sciences achievements that allow to understand the stability factors of a legal system and the internal reaction of a legal system and its external environment during the reception of law.

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Lazzaro, E., and E. Minardi. "Comment on `Minimum entropy production principle due to ohmic dissipation in tokamaks and determination of non-inductive current density profiles on JET' by DiVita and Brusati." Plasma Physics and Controlled Fusion 38, no. 7 (July 1, 1996): 1083. http://dx.doi.org/10.1088/0741-3335/38/7/011.

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Aragón, Alfredo José Constaín, Carlos Peña-Guzmán, and Gina Alexandra Peña-Olarte. "Foundations of the Relative Constancy of Mean Velocity for Natural Streams: A General Principle of Steady State Anticipated by L. Prandtl and L. Leopold." International Journal of Mathematical, Engineering and Management Sciences 5, no. 6 (December 1, 2020): 1363–78. http://dx.doi.org/10.33889/ijmems.2020.5.6.101.

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Mean velocity is a key parameter for understanding, modeling and predicting the complex phenomena of advection and dispersion in natural watercourses, which are threatened by human intervention and river disasters. For this reason, the principles of relative constancy for the value of this parameter, established early by L. Prandtl and L. Leopold in the 20th century, are powerful theoretical tools for those who develop engineering tasks in this field. This article presents updated analyses of these principles, explaining how this constancy depends essentially on the existence of a steady state in the flow, which allows equiprobability in the system, and therefore, a minimum production of entropy. At the same time an equation is developed, as a function of macroscopic parameters, facilitating its interpretation and practical application. This hypothesis is contrasted by reviewing the relative values for those parameters and their effect on the formula, and defining the practical conditions of applicability of the formula. This method of validating the hypothesis is important in hydrometric practice, as flow velocity measurements are the starting point for their description, especially for large rivers where comprehensive assessments are impossible.

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Journal articles on the topic 'Principle of minimum entropy production'

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