Дисертації з теми "Non-equilibrium and irreversible thermodynamic"
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Ramirez, Estay Hector. "Control of irreversible thermodynamic processes using port-Hamiltonian systems defined on pseudo-Poisson and contact structures." Thesis, Lyon 1, 2012. http://www.theses.fr/2012LYO10033/document.
Повний текст джерелаThis doctoral thesis presents results on the use of port Hamiltonian systems (PHS) and controlled contact systems for modeling and control of irreversible thermodynamic processes. Firstly, Irreversible PHS (IPHS) has been defined as a class of pseudo-port Hamiltonian system that expresses the first and second principle of Thermodynamics and encompasses models of heat exchangers and chemical reactors. These IPHS have been lifted to the complete Thermodynamic Phase Space endowed with a natural contact structure, thereby defining a class of controlled contact systems, i.e. nonlinear control systems defined by strict contact vector fields. Secondly, it has been shown that only a constant control preserves the canonical contact structure, hence a structure preserving feedback necessarily shapes the closed-loop contact form. The conditions for state feedbacks shaping the contact form have been characterized and have lead to the definition of input-output contact systems. Thirdly, it has been shown that strict contact vector fields are in general unstable at their zeros, hence the condition for the the stability in closed-loop has been characterized as stabilization on some closed-loop invariant Legendre submanifolds
GRISOLIA, GIULIA. "Biofuels from micro-organisms: Thermodynamic analysis of sustainability." Doctoral thesis, Politecnico di Torino, 2022. https://hdl.handle.net/11583/2973986.
Повний текст джерелаPackwood, Daniel Miles. "Theoretical and Experimental Studies of the Gas-Liquid Interface." Thesis, University of Canterbury. Department of Chemistry, 2010. http://hdl.handle.net/10092/4618.
Повний текст джерелаLiu, Ensheng Yuan Jian-Min. "Sensitivity, non-equilibrium thermodynamic and control analyses of insulin metabolic signaling pathways /." Philadelphia, Pa. : Drexel University, 2007. http://hdl.handle.net/1860/1862.
Повний текст джерелаMariani, Riccardo. "Irreversible parallel dynamics in statistical mechanics." Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0744/document.
Повний текст джерелаIn this thesis we present theoretical and numerical approaches for two irreversible and parallel dynamics on one-dimensional statistical mechanics models. In the first chapter we present theoretical results on a particles system driven by an irreversible Markov chain namely the totally asymmetric simple exclusion process (TASEP). Allowing multiples spin-flips in each time-step we define a model with a parallel dynamics that belongs to the family of the probabilistic cellular automata (PCA) and we derive its stationary measure. In this framework we deal with {\it the blockage problem}, {\it i.e.} to understand the effects of a localized perturbation in the transition rates of the particles on irreversible systems: the blockage problem. In the second chapter we present a one-dimensional version of the Ising model with Kac potential. Again we define a PCA dynamics with asymmetric interaction between particles and we find its stationary measure for periodic boundary condition. Then we prove the convergence, in the thermodynamic limit, of such stationary measure to the Gibbs measure for all temperatures above the critical one via F\"ollmer estimates and dobrushin's uniqueness theorem. In the second part of the thesis, we investigate these two dynamics through numerical experiments.In the case of the TASEP we exploit general purpose graphical processors unit (GPGPU) writing a parallel code in CUDA to identify a reasonable {\it mixing time} and reinforce the conjecture that in both version, serial or parallel update rule, the current may be non-analytic in the blockage intensity around the value $\varepsilon = 0$
Holladay, Robert Tyler. "Steepest-Entropy-Ascent Quantum Thermodynamic Modeling of Quantum Information and Quantum Computing Systems." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/94630.
Повний текст джерелаDoctor of Philosophy
Quantum computers (QCs) have the potential to perform certain tasks much more efficiently than today0 s supercomputers. One primary challenge in realizing a practical QC is maintaining the stored information, the loss of which is known as decoherence. This work attributes decoherence to dissipation (a classical analogue being heat generated due to friction) occurring while an algorithm is run on the QC. Standard quantum modeling approaches assume that for any dissipation to occur, the QC must interact with its environment. However, in this work, steepest-entropy-ascent quantum thermodynamics (SEAQT) is used to model the evolution of the QC as it runs an algorithm. SEAQT, developed by Hatsopolous, Gyftopolous, Beretta, and others over the past 40 years, supplements the laws of quantum mechanics with those of thermodynamics and in contrast to the standard quantum approaches does not require the presence of an environment to account for the dissipation which occurs. This work first applies the SEAQT framework to modeling single qubits (quantum bits) to characterize the effect of dissipation on the information stored on the qubit. This is later extended to a nuclear-magnetic-resonance (NMR) QC of 7 qubits. Additionally, SEAQT is used to predict experimentally observed dissipation in a two-qubit NMR QC. Afterwards, several methods for constrained perturbations of a QC0 s state are presented. These methods are then used with SEAQT to analyze the effect of dissipation on the entanglement of two qubits. Finally, a model is derived within the SEAQT framework accounting for a qubit interacting with its environment, which is at a constant temperature. This model is then used to develop a method for limiting the decoherence and shown to significantly lowering the resulting error due to decoherence.
Schubert, Sven. "Stochastic and temperature-related aspects of the Preisach model of hysteresis." Doctoral thesis, Universitätsbibliothek Chemnitz, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-70798.
Повний текст джерелаThe aim of this thesis is to investigate the Preisach model in regard to stochastically driving and temperature-related aspects. The Preisach model is a phenomenological model for systems with hysteresis which is often successfully applied. Hysteresis is a widespread phenomenon which is observed in nature and the key feature of certain technological applications. Further, it contributes to phenomena of interest in social science and economics as well. Prominent examples are the magnetization of ferromagnetic materials in an external magnetic field or the adsorption-desorption hysteresis observed in porous media. Hysteresis involves the development of a hysteresis memory, and multistability in the interrelations between external driving fields and system response. In the first part, we mainly investigate the response of Preisach hysteresis models driven by stochastic input processes with regard to autocorrelation functions to quantify the influence of the system’s memory. Using rigorous methods, it is shown that the development of a hysteresis memory is reflected in the possibility of long-time tails in the autocorrelation functions, even for uncorrelated driving fields. In the case of uncorrelated driving, these long-time tails in the autocorrelations of the system’s response are determined only by the tails of the involved densities. They will be observed if there are broad Preisach densities assigning a high weight to elementary loops of large width and narrow input densities such that rare extreme events of the input time series contribute significantly to the output for a long period of time. Afterwards, these results are extended by simulations to driving fields which themselves show correlations. It is shown that the autocorrelation of the output does not decay faster than the autocorrelation of the input process. Further, there is a possibility that long-term memory in the hysteretic response is more pronounced in the case of uncorrelated driving than in the case of correlated driving. The behavior of the output probability distribution at the saturation values is quite universal. It is not affected by the presence of correlations and allows conclusions whether the input density is much more narrow than the Preisach density or not. Moreover, the existence of effective Preisach densities is shown which define equivalence classes of systems of input and Preisach densities which lead to realizations of the same output variable. The asymptotic behavior of an effective Preisach density determines the asymptotic correlation decay of the system’s response in the case of uncorrelated driving. In the second part, temperature-related effects are considered. It is reviewed how the non-equilibrium Preisach model in its micromagnetic picture can be related to temperature within the framework of extended irreversible thermodynamics. The irreversible response of a ferromagnetic material, namely, Nickel nanoparticles in a fullerene matrix, is simulated. The model includes superparamagnetism where ferromagnetism breaks down at temperatures lower than the Curie temperature and the results are compared to experimental data. Furthermore, we adapt known results for the thermal relaxation of the system’s memory in the form of a front propagation in the Preisach plane derived basically from solving a master equation and by the use of a contradictory assumption. A closer look is taken at short time scales which dissolves the contradiction and shows that the known results apply, taking into account the fact that the dividing line propagation starts with an additional delay time depending on the front coordinates in the Preisach plane. Additionally, it is outlined how thermal relaxation behavior in the Preisach model of hysteresis can be studied using a Fokker-Planck equation. The latter is solved analytically in the non-hysteretic limit using eigenfunction methods. The results indicate a change in the relaxation behavior, especially on short time scales
Li, Guanchen. "Non-equilibrium Thermodynamic Approach Based on the Steepest-Entropy-Ascent Framework Applicable across All Temporal and Spatial Scales." Diss., Virginia Tech, 2016. http://hdl.handle.net/10919/78354.
Повний текст джерелаPh. D.
Davie, Stuart James. "Relative Free Energies from Non-Equilibrium Simulations: Application to Changes in Density." Thesis, Griffith University, 2014. http://hdl.handle.net/10072/365922.
Повний текст джерелаThesis (PhD Doctorate)
Doctor of Philosophy (PhD)
School of Biomolecular and Physical Sciences
Science, Environment, Engineering and Technology
Full Text
LEGGIO, Bruno. "Quantum fluctuations and correlations in equilibrium and nonequilibrium thermodynamics." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/90914.
Повний текст джерелаLoos, Sarah Anna Marie [Verfasser], Sabine [Akademischer Betreuer] Klapp, Sabine [Gutachter] Klapp, and Klaus [Gutachter] Kroy. "Stochastic systems with time delay : probabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium / Sarah Anna Marie Loos ; Gutachter: Sabine Klapp, Klaus Kroy ; Betreuer: Sabine Klapp." Berlin : Technische Universität Berlin, 2020. http://d-nb.info/1208764497/34.
Повний текст джерелаCARUSO, SALVATORE. "Teoria della Funzione di Dissipazione: fondamenta matematiche per la fisica statistica di non equilibrio e per la teoria della risposta." Doctoral thesis, Università degli studi di Modena e Reggio Emilia, 2021. http://hdl.handle.net/11380/1245316.
Повний текст джерелаThe foundations of the Laws of Thermodynamics stand in center of the intellectual building of Physics since their early formulation in late XIX century. Because of their central relevance, these concepts still spark flaming debates and propel profound discussions. Given that this is true in the realm of Equilibrium Statistical Physics -- an established corpus of coherent concepts -- the situation is even more volatile in Non Equilibrium Statistical Physics, where foundational debates are still going on. This state of things motivates the study of the theoretical and mathematical foundations of Non Equilibrium Statistical Physics. Besides the fascinating scientific aspects, such studies are made necessary by technological urgencies: bio- nano- technologies operate at a scale in which boundaries between macroscopic and microscopic are blurred, plus in these devices non equilibrium is the rule and not the exception. For all these reasons, we propose Dissipation Function Theory as a candidate base to lay the theoretical and mathematical foundations of Non Equilibrium Statistical Physics via a non perturbative response theory.
Zhou, Weijun. "Approche thermodynamique pour la commande d’un système non linéaire de dimension infinie : application aux réacteurs tubulaires." Thesis, Lyon 1, 2015. http://www.theses.fr/2015LYO10084/document.
Повний текст джерелаThe main objective of this thesis consists to investigate the problem of modelling and control of a nonlinear parameter distributed thermodynamic system : the tubular reactor. We address the control problem of this non linear system relying on the thermodynamic properties of the process. This approach requires to use the classical extensive variables as the state variables. We use the thermodynamic availability as well as the reduced thermodynamic availability (this function is formed from some terms of the thermodynamic availabilty) as Lyapunov functions in order to asymptotically stabilize the tubular reactor aroud a steady profile. The distributed temperature of the jacket is the control variable. Some simulations illustrate these results as well as the eficiency of the control in presence of perturbations. Next we study the Port Hamiltonian representation of irreversible infinite dimensional systems. We propose a Stokes-Dirac structure of a reaction-diffusion system by means of the extension of the vectors of the flux and effort variables. We illustrate this approach on the example of the reaction-diffusion system. For this latter we use the internal energy as well as the opposite of the entropy to obtain Stokes-Dirac structures. We propose also a pseudo-Hamiltonian representation for the two Hamiltonians. Finally we tackle the boundary control problem. The objective is to study the existence of solutions associated to a linearized model of the tubular reactor controlled to the boundary
Bahroun, Sami. "Modélisation et approche thermodynamique pour la commande des réacteurs chimiques catalytiques triphasiques continus et discontinus." Phd thesis, Université Claude Bernard - Lyon I, 2010. http://tel.archives-ouvertes.fr/tel-00720906.
Повний текст джерелаHoang, Ngoc Ha. "Approche thermodynamique pour la stabilisation des réacteurs chimiques." Thesis, Lyon 1, 2009. http://www.theses.fr/2009LYO10244.
Повний текст джерелаThe goal of this thesis is to propose new nonlinear control strategies for the stabilization of perfectly Continuous Stirred Tank Reactors (CSTR). To achieve this goal, we use on the one hand, the entropic thermodynamic approach. More precisely, we use the thermodynamic availability concept and the properties of irreversible thermodynamics to define a Lyapunov function candidate for the stabilization of the closed loop system. We also propose a reduced availability function to design more efficient feedback laws in term of control variable solicitations. On the other hand, we propose an extension of the (pseudo) Hamiltonian formalism associated to dissipative systems to open chemical reactors. We show that the Hamiltonian is linked to the Gibbs free enthalpy in the isothermal case and to ectropy (opposed to entropy) in the non isothermal case. By this formalism, the dissipation of the system represents the irreversible entropy production due to chemical reaction. The Interconnection and Damping Assignment-Passivity Based Control (IDA-PBC) approach is then applied to synthesize feedback laws by choosing the thermodynamic availability as desired closed loop hamiltonian storage function. Finally, we show that feedback laws synthetized by the entropic thermodynamic approach and the pseudo-hamiltonian formulation are equivalent in some cases. Some stabilization properties and the control input admissibility are also considered. Theoretical developments are illustrated on some different CSTR examples : an academic case study and the acid catalyzed hydration of oxirane-methanol to glycerol
Gelet, Rachel. "Thermo-hydro-mécanique des milieux poreux déformables avec double porosité et non-équilibre thermique local." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00712459.
Повний текст джерелаVanhulle, Gabriel. "Étude de la cinétique chimique et des propriétés de transport d'un plasma d'arc SF6-C2F4 en déséquilibre thermique : application à l'étude des disjoncteurs haute tension." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30330/document.
Повний текст джерелаModelling a high voltage circuit breaker using a MHD model needs plasma properties databanks to simulate the electric arc behavior. The local thermodynamic equilibrium hypothesis is often used to calculate these properties. However, the equilibrium conditions are not satisfied near the walls or the electrodes, or during the zero crossing of the current. The thermal nonequilibrium considerably modify the chemistry and properties of the plasma. The study of these properties for a 2t plasma is the subject of this thesis. The first part of this thesis presents the industrial context at the origin of this study. Basics assumptions for the 2t hypothesis are then explained. In this section, special attention is given to the temperatures characteristic of the internal energy modes. Two sets of hypotheses concerning these temperatures are used in this work, and the choice of these hypotheses is discussed. The second part of this work is dedicated to the calculation of sf6-c2f4 plasma composition at 2t. This calculation will be done with two different methods: the first is based on the mass action law extended to 2t, and the second on a collisional-radiative calculation. Examples of compositions obtained with these two methods are presented. The hypotheses concerning the temperatures of populating of the internal energy levels are discussed in the light of these results. The third chapter of this thesis deals with the calculation of the thermodynamic properties at 2t of the plasma. The theoretical formulations of each of these properties are first recalled, and the results from these expressions are then presented and discussed, for the two methods of calculating the composition. The fourth chapter is dedicated to calculating the transport coefficients of a sf6-c2f4 plasma at 2t. This part is based on a bibliographic study of the already existing methods of calculation and the essential data to obtain these properties (collision integrals). For each property (viscosity, electrical conductivity and thermal conductivity) the various calculation methods identified in the literature are compared. The choice of the most appropriate calculation technique is made by comparing the results to the ETL. Particular attention is paid to the calculation of the reactive part of the thermal conductivity, and a formulation adapted to the needs of this work is proposed. The results from these expressions are presented and discussed following the same logic when in the previous chapter
Nagels, Virginie. "Validation expérimentale des codes de physique atomique des plasmas hors équilibre thermodynamique local." Palaiseau, Ecole polytechnique, 2004. http://www.theses.fr/2004EPXX0049.
Повний текст джерелаNichele, Sylvain. "Modélisation physique et simulations numériques des écoulements dans les disjoncteurs électriques haute tension." Thesis, Aix-Marseille 1, 2011. http://www.theses.fr/2011AIX10110/document.
Повний текст джерелаThe numerical simulations are become a very important tool to design the high voltage circuit breaker (HVCB) chamber. They help for the understanding of the different phenomena which can take place between the 2 electrodes during an interruption process. The electric arc brings together many fields of physics more or less complex and many of these phenomena are still poorly studied. So many aspects remain to be explored to improve simulations. With the increase of the calculation power, these numerical simulations can take into account more phenomena. However, for reasonable simulation times, we need to know which phenomena are preponderant. The aim of these numerical simulations is to rapidly conclude on the capacity of geometry to success an interruption process compared to different other geometries, under a given stress. In this PhD dissertation, we are particularly interested on thermal and chemical non equilibrium that can occur in HVCB during an interruption process. Currently, most simulations are carried out with a strong hypothesis: the hypothesis of Local Thermodynamic Equilibrium (LTE). This assumption allows us to alleviate the problem and to reduce the computing time. But this assumption becomes not valid when high temperature or density gradients occur. To do these simulations, the CARBUR numerical code has been used. In order to simulate flow behaviors in HVCB, an electrical arc (Joule effect and radiation) model and a module of mobile electrode have been added. Six different studies have been done and are presented: influence of the electrode shape, influence of the Navier-Stokes equations compared to the Euler equations, influence of the gas (SF6, CO2 et N2), influence of the thermal non equilibrium in a nitrogen case, influence of the position of the arc source terms in the different energy equations. In this work, a study on different nitrogen chemical kinetics is proposed. In these models, 5 chemical species are distinguished: N2, N, N+, N2+ and e-. Finally, 4 different temperatures are used: T, TVib-N2, TVib-N2+ and Te
Al, Nazer Safaa. "Sur la modélisation du transport réactif dans les réserves d’eaux potables." Thesis, Littoral, 2020. http://www.theses.fr/2020DUNK0566.
Повний текст джерелаThis thesis is devoted to the study of reactive transport in water reserves. It is structured in two distinct parts : the first deals with the development of chemical solvers and the second with the mathematical study of a class of models describing flows in shallow water interacting with the surface water. In the first part of the work, we focus on the numerical resolution of thermodynamic equilibria which lead to complex and very badly conditioned nonlinear systems. In this work, we combine aparticular formulation of the chemical equilibrium system, called the method of positive continuous fractions, with two iterative numerical methods, the Anderson Acceleration method and vector extrapolation methods, namely the MPE (minimal polynomial extrapolation) and RRE (reduced rank extrapolation) methods.The main advantage of these approaches is to avoid forming the Jacobian matrix and thus to avoid problems linked to bad conditioning of the matrix. Numerical tests are performed, especially on the test case of gallic acid and on the reference 1D case of the MoMas benchmark. These tests illustrate the great efficiency of this approach compared to classical solutions resulting from the Newton-Raphson method. In the second part of the thesis, we introduce and study Richards-Dupuit type models to describe flows in shallow aquifers. The idea is to couple the two main types of flows in the aquifer : that of the unsaturated part with that of the saturated part. The first is described by the classic Richardsproblem in the upper capillary fringe. The second results from Dupuit’s approximation after vertical integration of the conservation laws between the bottom of the aquifer and the saturation interface. The final model consists of a strongly coupled system of parabolic type pde which are defined on a time dependent domain. We show how taking into account the low compressibility of the fluid makes it possible to eliminate the degeneration in the time derivative term of the Richards equation.Then we use the general framework of parabolic equations in non-cylindrical domains introduced by Lions to give a global existence result in time. We present the mathematical analysis of the first model which corresponds to the isotropic and non-conservative case. Then we generalize the study to the anisotropic and conservative case
Bond, Maurice. "Non-equilibrium evaporation and condensation : modeled with irreversible thermodynamics, kinetic theory, and statistical rate theory." 2004. http://hdl.handle.net/1828/511.
Повний текст джерелаCheng, Hong-Bang, and 鄭宏邦. "Interpretation of redox potential variation during biological processes using linear non-equilibrium thermodynamic model." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/22741103978560674668.
Повний текст джерела國立交通大學
環境工程系所
100
Interpretation of redox potential variations during biological processes using linear non-equilibrium thermodynamic model Student:Hong-Bang Cheng Advisor: Jih-Gaw Lin Institute of Environmental Engineering National Chiao Tung University ABSTRACT Various forms of Nernst equation have been dceveloped using simplified assumptions and/or modifications to depict the process of reversible and irreversible thermodynamic reactions in terms of the oxidation reduction potential (ORP). However, these assumptions are sometimes inappropriate in the quantification of ORP for non-equilibrium systems. A linear non-equilibrium thermodynamic model, called MIRROR model No. 1 (MIcrobial Related Reduction and Oxidation Reaction Model No. 1), is proposed in this research for interpreting ORP of biological processes. In the proposed model, ORP is related to affinities of catabolism and anabolism, and the energy expenditure of catabolism and anabolism is directly proportional to overpotential (η), straight coefficient of electrode (LEE), and degree of coupling between catabolism and ORP electrode. In addition, modeling the ORP of the biological nitrification and denitrification processes is addressed using MIRROR model No. 1. Laboratory data based on temperature, dissolved oxygen, COD, amonium, nitrite, nitrate, pH and ORP, were excerpted from literature and used for calibrating the model to determine the optimal values of various stoichiometric, kinetic, and phenomenological model parameters. The calibrated model was used to simulate the ORP variation of a biological nitrification and denitrifcation processes. The simulation results are in good correlation with the experimental observations (R2>0.93). Additionally, the performance of MIRROR model No.1 was compared with a commonly used modified-Nernst equation for simulating the biological nitrification and denitrification processes. MIRROR model No.1 has superior efficiency based on statistical analyses on deviance (i.e. root mean square error and mean absolute error), residual analyses and model discrimination. Overall, MIRROR model No. 1 appears to be an effective alternative to several modified-Nernst equations for simulating the ORP of biological processes. The limitations of MIRROR Model No. 1 have also been discussed for expanding the applicability of this model. When the final ORP value of biological denitrification processes is between -80 to -160 mV, the deviance of simulation results using the model is within a narrow range. If the final ORP is lower than -160 mV, the deviance increases sharply. The occurrence of some other non-nitrogen biological processes such as biological sulfate reduction may affect the ORP measurement so that the deviance increases sharply when the final ORP decreases. There is a close relationship between the affinities of catabolism and the system ORP of the biological denitrification process, but the ORP variation per unit affinity of catabolism is not a constant but proportional to the molarity of electrons transferred catabolically. The linear relationship between redox potential and reaction rate that has been derived based on MIRROR model No.1 in this research is verified by using the experimental results reported in the literature. This linear relationship enables evaluation of the biological denitrification rate based on the real-time monitoring of the system ORP. In addition, MIRROR model No. 1 predicts a distinctive curvilinear dependence of redox potential on the utilization of a selected substrate in microbial processes. With the substrate is excess, the system ORP is a logarithmic function of the substrate concentration. When the substrate in question becomes limited, the system ORP is observed to be linearly proportional to the substrate concentration. Keywords: Nernst equation, MIRROR model No. 1, redox potential, biologcial nitrification and biological denitrification.
IUBINI, STEFANO. "The nonequilibrium discrete nonlinear Schrödinger equation." Doctoral thesis, 2014. http://hdl.handle.net/2158/834304.
Повний текст джерелаAmarsi, Anish Mayur. "Three-dimensional non-local thermodynamic equilibrium radiative transfer and oxygen abundances in late-type stars." Phd thesis, 2016. http://hdl.handle.net/1885/114541.
Повний текст джерелаPALAZZO, PIERFRANCESCO. "Theoretical arguments on exergy method and non-equilibrium in nuclear processes." Doctoral thesis, 2019. http://hdl.handle.net/11573/1241956.
Повний текст джерелаHager-Fingerle, Axel. "Entropy Production and Phase Transitions far from Equilibrium with Emphasis on Wet Granular Matter." Doctoral thesis, 2007. http://hdl.handle.net/11858/00-1735-0000-0006-B475-F.
Повний текст джерелаRindori, Davide. "Entropy current in relativistic quantum statistical mechanics." Doctoral thesis, 2021. http://hdl.handle.net/2158/1236913.
Повний текст джерела