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Relevant bibliographies by topics / Free energy perturbation theory

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Academic literature on the topic 'Free energy perturbation theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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Journal articles on the topic "Free energy perturbation theory"

1

Mon, K. K. "Lower free energy bound for hard-sphere perturbation theory." Journal of Chemical Physics 116, no. 21 (June 2002): 9392–94. http://dx.doi.org/10.1063/1.1472507.

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Kalikmanov, V. I., R. Hagmeijer, and C. H. Venner. "Statistical Mechanical Perturbation Theory of Solid–Vapor Interfacial Free Energy." Journal of Physical Chemistry C 121, no. 12 (March 17, 2017): 6868–73. http://dx.doi.org/10.1021/acs.jpcc.7b01331.

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Vilseck, Jonah Z., Julian Tirado-Rives, and William L. Jorgensen. "Determination of partial molar volumes from free energy perturbation theory." Physical Chemistry Chemical Physics 17, no. 13 (2015): 8407–15. http://dx.doi.org/10.1039/c4cp05304d.

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Free Energy Perturbation calculations are employed to determine free energies of solvation (ΔG_solv) for benzene and benzene-derivatives at elevated pressures. Absolute and relative partial molar volumes are determined as the pressure derivative of ΔG_solv.

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Topor, Nadia. "Perturbation Method for Boundary S-Matrix in 2D Quantum Field Theory." Modern Physics Letters A 12, no. 38 (December 14, 1997): 2951–62. http://dx.doi.org/10.1142/s0217732397003071.

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We develop a perturbation theory for evaluating the boundary S-matrix in 2D quantum field theory. We apply this approach to calculate the one-loop boundary S-matrix for the elementary particle of the sine–Gordon model with a boundary interaction. Our perturbative result agrees with the exact expression of the S-matrix conjectured by Goshal; it also allows us to derive the perturbative relation between the parameter ϑ in the S-matrix and the free parameter M in the boundary action, in the particular case in which its other free parameter φ0 is zero.

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PERIWAL, VIPUL. "FREE ENERGY DECREASES ALONG WILSON RENORMALIZATION GROUP TRAJECTORIES." Modern Physics Letters A 10, no. 21 (July 10, 1995): 1543–48. http://dx.doi.org/10.1142/s0217732395001666.

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The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for d>2. The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two-point function. The argument is valid for all orders in perturbation theory.

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Tobias, Douglas J., and Charles L. Brooks. "Calculation of free energy surfaces using the methods of thermodynamic perturbation theory." Chemical Physics Letters 142, no. 6 (December 1987): 472–76. http://dx.doi.org/10.1016/0009-2614(87)80646-2.

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Nieto, Agustin. "Perturbative QCD at High Temperature." International Journal of Modern Physics A 12, no. 08 (March 30, 1997): 1431–64. http://dx.doi.org/10.1142/s0217751x97001043.

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Recent developments of perturbation theory at finite temperature based on effective field theory methods are reviewed. These methods allow the contributions from the different scales to be separated and the perturbative series to be reorganized. The construction of the effective field theory is shown in detail for ϕ4 theory and QCD. It is applied to the evaluation of the free energy of QCD at order g5 and the calculation of the g6 term is outlined. Implications for the application of perturbative QCD to the quark–gluon plasma are also discussed.

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ABE, MITSUO, and NOBORU NAKANISHI. "NONRENORMALIZABILITY MAY BE SUPERFICIAL IN THE COVARIANT FORMALISM OF QUANTUM GRAVITY." Modern Physics Letters A 10, no. 21 (July 10, 1995): 1501–6. http://dx.doi.org/10.1142/s0217732395001629.

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It is pointed out that the nonrenormalizability of quantum Einstein gravity may be caused by the inadequacy of the conventional perturbative approach. It is more reasonable to reconsider the problem in the light of a newly proposed perturbative scheme, which is free of the ad hoc assumption on which the conventional perturbation theory is based. It is explicitly shown that there is a gravity-theory example which is nonrenormalizable in the usual sense but completely finite if the new perturbative scheme is applied.

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MA, BO-QIANG, and JI SUN. "NEW SCALING VARIABLE FROM LIGHT-CONE PERTURBATION THEORY." International Journal of Modern Physics A 06, no. 03 (January 30, 1991): 345–63. http://dx.doi.org/10.1142/s0217751x91000216.

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We argue from both the quark language and the free field light-cone expansion in light-cone perturbation theory that the constraint of overall “energy” conservation in deep inelastic lepton-nucleon scattering yields a similar new scaling variable xp, which reduces to the Weizmann variable, the Bloom-Gilman variable and the Bjorken variable at some approximations. The xp rescaling is expected to be a good scaling variable, and hence gives strong power-law type corrections to the deviations of Bjorken scaling. An understanding of this xp rescaling from both the free field operator product expansion (OPE) and the ordinary OPE is also given, indicating it is likely a higher order effect in the coefficient functions, i.e. it does not belong to the higher twist effect. Therefore this xp rescaling is likely a new effect contributing to the power-law type corrections.

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Greeff, C. W. "Tests of Monte Carlo perturbation theory for the free energy of liquid copper." Journal of Chemical Physics 128, no. 18 (May 14, 2008): 184104. http://dx.doi.org/10.1063/1.2917355.

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Dissertations / Theses on the topic "Free energy perturbation theory"

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Lowis, D. R. "Application of theoretical methods to the study of small molecules in solution." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240696.

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King, Paul M. "Application of free energy perturbation calculations to molecular biophysics." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.257951.

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James, Richard. "Applications of perturbation theory in high energy electron diffraction." Thesis, University of Bath, 1990. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235789.

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Jackson, Brendan Marc. "Modelling dark energy." Thesis, University of Edinburgh, 2011. http://hdl.handle.net/1842/5763.

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One of the most pressing, modern cosmological mysteries is the cause of the accelerated expansion of the universe. The energy density required to cause this large scale opposition to gravity is known to be both far in excess of the known matter content, and remarkably smooth and unclustered across the universe. While the most commonly accepted answer is that a cosmological constant is responsible, alternatives abound. This thesis is primarily concerned with such alternatives; both their theoretical nature and observational consequences. In this thesis, we will dedicate Chapter 1 to a brief review on the fundamentals of general relativity, leading into the basics of theoretical cosmology. Following this we will recall some of the key observations that has lead to the standard CDM cosmology. The standard model has well known problems, many of which can be answered by the theoretical ideas of inflation. In Chapter 2 we explore these ideas, including a summary of classical field theory in the context of cosmology, upon which inflation is based. This also serves as the groundwork for Chapter 3, where the varied models of dark energy (and their motivations) are discussed - many of which are also reliant on field theory (such as quintessence). These notions are combined in a model described in Chapter 4, where we describe our own addition to a scenario that unifies dark energy and inflation. This addition - involving a coupling of the inflation field to an additional one - alter the way reheating takes place after inflation, removing some of the shortcomings of the original proposal. The analysis is extended in Chapter 5, to include the effect of quantum corrections. There we show that although a cursory analysis indicates a coupling between quintessence and some other field does not necessarily give rise to dangerously large quantum corrections, provided the effects of decoupling are taken into account. We move on in Chapter 6 to examine the basics of cosmological perturbation theory, and derive the general equations of motion for density and velocity perturbations for a system of fluids, allowing for the exchange of energy-momentum. We make use of this in Chapters 7 and 8, were we examine the growth of structure in a universe where energy is exchanged between dark matter and dark energy. In particular, in Chapter 7 we see that a particular form of the interaction can lead to an instability in the early universe, and we derive the condition for this to be the case. In Chapter 8, we discuss how a similar interaction can lead to a mimicry of modified gravity, and relate this directly to cosmological observations. Finally we summarise our conclusions and discuss avenues of future research in Chapter 9.

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Hollenstein, Lukas. "Applications of Cosmological Perturbation Theory to Dynamical Dark Energy and Primordial Magnetogenesis." Thesis, University of Portsmouth, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508870.

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Masango, Senamile Khethekile Ntombizothando. "Measuring transitional matrix elements using first-order perturbation theory in Coulomb excitation." University of the Western Cape, 2019. http://hdl.handle.net/11394/6704.

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Magister Scientiae - MSc
The aim of nuclear structure physics is to study the interplay between singleparticle and collective degrees of freedom in nuclei and to explain how nuclei get excited and decay under di erent external conditions, such as strong electric and magnetic elds. If nuclei absorb a large amount of energy and angular momentum, like in a scattering reaction when you bombard a target that is in the ground state with a projectile at high bombarding energies, the energy from the projectile gets transfered to the target and vice versa, hence both projectile and target may get excited. During the de-excitation process nuclei may release the energy in a form of electromagnetic radiation (gamma rays) which carries angular momentum. The atomic nucleus is a many-body system, whose structure is de ned in terms of interactions between protons and neutrons. In nature there are only around 300 stable isotopes [1]. They are all in their ground states (although some are in a low-energy excited isomeric state with a long lifetime). To study excited states in these nuclei one needs to provide energy to the system. In addition, there are some 3000 unstable nuclei, most of which do not exist in nature. Many have been produced and studied in research laboratories, and there could be more than 3000 other unstable nuclei that can in principle exist in astrophysical environments, but have not yet been synthesized on Earth [1].

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FREIRE, LUCAS. "RENEWABLE ENERGY COMMERCIALIZATION MODEL FOR THE FREE MARKET VIA COOPERATIVE GAMES THEORY." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2013. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=22134@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
No Brasil, as três principais fontes renováveis de energia elétrica são eólica, pequenas centrais hidrelétricas (PCHs) e biomassa. A comercialização da energia proveniente dessas fontes ocorre majoritariamente no ambiente de contratação regulada (ACR), através de leilões, em detrimento do ambiente de contratação livre (ACL). Isso devido ao fato de seus recursos naturais serem sazonais, estabelecendo o risco de preço-quantidade no ACL, em que o excesso ou déficit de energia gerada em relação à quantidade contratada é liquidado ao preço de liquidação de diferenças (PLD), uma variável sistêmica e altamente volátil. Contudo, a complementaridade dessas fontes permite reduzir esses riscos quando a energia é comercializada de forma conjunta, através de um fundo de energia que gera aumento do valor do portfólio com relação à comercialização individual. Esta dissertação utiliza a teoria de jogos cooperativos para analisar formas de repartir o benefício gerado, através da alocação de quotas financeiras. O conjunto de soluções onde o resultado individual das fontes no fundo é maior do que o resultado individual em qualquer subcoalisão define o núcleo do jogo. Assim, a complexidade de encontrar uma solução dentro do núcleo depende do número de subcoalizões, que cresce exponencialmente com o número de jogadores. Nesse contexto, este trabalho se propôs a apresentar: (i) um modelo de portfólio que incentiva a participação de fontes renováveis no ACL; (ii) um modelo de programação linear que busca o núcleo do jogo; (iii) uma metodologia eficiente baseada em decomposição de Benders, capaz de suprimir a questão da explosão combinatória do problema.
In Brazil, the three main sources of renewable energy are wind, small run-of-river hidros (SH) and biomass. The energy sale of such sources occurs mainly in the Regulated Trading Environment (RTE), through auctions, with shy occurrences in the Free Trading Environment (FTE). This is due to the fact that their natural resources are seasonal, establishing the so-called price-quantity risk in the FTE, as the surplus or deficit of energy generated relative to the contracted amount is settled at the market’s spot price, a systemic and highly volatile variable. However, the complementary nature of these sources allows risk reduction if their energy are trade jointly, through an energy hedge pool that increases the value of the portfolio in comparison to individual strategies. This work makes use of cooperative games theory to analyze ways of sharing the generated benefit, through financial quotas allocation. The set of solutions where the individual sources results in the pool are greater than its results at any possible subcoalition defines the core of the game. Thus, the challenge of finding a solution inside the core depends on the number of subcoalitions, which grows exponentially with the number of players. In this context, this work proposes to present: (i) a model of portfolio that encourages the penetration of renewable sources in the FTE; (ii) a linear programming model that pursuits the game’s core; (iii) an efficient methodology based on Benders decomposition that is capable of suppress the problem of combinatorial explosion, typical of cooperative games with many players.

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Pearson, Jonathan Andrew. "Generalized perturbations in modified gravity and dark energy." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/generalized-perturbations-in-modified-gravity-and-dark-energy(ac520c15-f240-4c63-84af-1110fdfc9815).html.

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When recent observational data and the GR+FRW+CDM model are combined we obtain the result that the Universe is accelerating, where the acceleration is due to some not-yet-understood "dark sector". There has been a considerable number of theoretical models constructed in an attempt to provide a description of the dark sector: dark energy and modified gravity theories. The proliferation of modified gravity and dark energy models has brought to light the need to construct a "generic" way to parameterize perturbations in the dark sector. In this thesis we discuss our new way of approaching this problem. We write down an effective action for linearized perturbations to the gravitational field equations for a given field content and use it to compute generalized gravitational field equations for linearized perturbations. Our approach is inspired by that taken in particle physics, where the most general modifications to the standard model are written down for a given field content that is compatible with some assumed symmetry (which we take to be isotropy of the background spatial sections). After applying the formalism we obtain equations of state for dark sector perturbations, where the number of free parameters for wide classes of theories are identified.

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Keränen, Henrik. "Advances in Ligand Binding Predictions using Molecular Dynamics Simulations." Doctoral thesis, Uppsala universitet, Beräknings- och systembiologi, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-230777.

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Biochemical processes all involve associations and dissociations of chemical entities. Understanding these is of substantial importance for many modern pharmaceutical applications. In this thesis, longstanding problems with regard to ligand binding are treated with computational methods, applied to proteins of key pharmaceutical importance. Homology modeling, docking, molecular dynamics simulations and free-energy calculations are used here for quantitative characterization of ligand binding to proteins. By combining computational tools, valuable contributions have been made for pharmaceutically relevant areas: a neglected tropical disease, an ion channel anti-drug-target, and GPCR drug-targets. We report three compounds inhibiting cruzain, the main cysteine protease of the protozoa causing Chagas’ disease. The compounds were found through an extensive virtual screening study and validated with experimental enzymatic assays. The compounds inhibit the enzyme in the μM-range and are therefore valuable in further lead optimization studies. A high-resolution crystal structure of the BRICHOS domain is reported, together with molecular dynamics simulations and hydrogen-deuterium exchange mass spectrometry studies. This work revealed a plausible mechanism for how the chaperone activity of the domain may operate. Rationalization of structure-activity relationships for a set of analogous blockers of the hERG potassium channel is given. A homology model of the ion channel was used for docking compounds and molecular dynamics simulations together with the linear interaction energy method employed for calculating the binding free-energies. The three-dimensional coordinates of two GPCRs, 5HT1B and 5HT2B, were derived from homology modeling and evaluated in the GPCR Dock 2013 assessment. Our models were in good correlation with the experimental structures and all of them placed among the top quarter of all models assessed. Finally, a computational method, based on molecular dynamics free-energy calculations, for performing alanine scanning was validated with the A2A adenosine receptor bound to either agonist or antagonist. The calculated binding free-energies were found to be in good agreement with experimental data and the method was subsequently extended to non-alanine mutations. With extensive experimental mutation data, this scheme is a valuable tool for quantitative understanding of ligand binding and can ultimately be used for structure-based drug design.

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Itoh, Kazuhito, and Masaki Sasai. "Multidimensional theory of protein folding." American Institite of Physics, 2009. http://hdl.handle.net/2237/12626.

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Books on the topic "Free energy perturbation theory"

1

Mills, Randell L. The grand unified theory. Ephrata, Pennsylvania: Science Press, 1990.

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King, Moray B. Quest for zero point energy: Engineering principles for "free energy" inventions. Kempton, Ill: Adventures Unlimited, 2001.

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Unification of spacetime, the forces, matter, and energy. Ephrata, Pennsylvania: Science Press, 1992.

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Mezhdunarodnyĭ simpozium "Neodnorodnye ėlektronnye sostoi͡anii͡a" (5th 1995? Novosibirsk, Russia?). Pi͡atyĭ Mezhdunarodnyĭ simpozium "Neodnorodnye ėlektronnye sostoi͡anii͡a": Tezisy dokladov, 12-14 senti͡abri͡a. Novosibirsk: In-t neorganicheskoĭ khimii Sibirskogo otd-nie RAN, 1995.

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A, Boi͡arskiĭ L., Nauchnyĭ sovet po probleme "Fizika nizkikh temperatur" (Akademii͡a nauk SSSR), and Institut neorganicheskoĭ khimii (Akademii͡a nauk SSSR), eds. Tretiĭ Vsesoi͡uznyĭ simpozium "Neodnorodnye ėlektronnye sostoi͡anii͡a": Tezisy dokladov, 21-23 noi͡abri͡a. Novosibirsk: [s.n.], 1989.

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A, Boi͡arskiĭ L., Nauchnyĭ sovet po probleme "Fizika nizkikh temperatur" (Akademii͡a nauk SSSR), and Institut neorganicheskoĭ khimii (Akademii͡a nauk SSSR), eds. Chetvertyĭ Vsesoi͡uznyĭ simpozium "Neodnorodnye ėlektronnye sostoi͡anii͡a": Tezisy dokladov, 4-6 marta. Novosibirsk: In-t neorganicheskoĭ khimii SO AN SSSR, 1991.

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Dawson, Donald Andrew. Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions. Providence, R.I., USA: American Mathematical Society, 1989.

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R, Haydock, Inglesfield J. E. 1945-, and Pendry J. B, eds. Bonding and structure of solids: Proceedings of a Royal Society Discussion Meeting, held on 20 and 21 September 1990. London: The Society, 1991.

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F, Mott N. Electronic processes in non-crystalline materials. 2nd ed. Oxford: Clarendon Press, 2012.

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Conduction in non-crystalline materials. Oxford: Clarendon Press, 1987.

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Book chapters on the topic "Free energy perturbation theory"

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Chipot, Christophe, and Andrew Pohorille. "Calculating Free Energy Differences Using Perturbation Theory." In Springer Series in CHEMICAL PHYSICS, 33–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-38448-9_2.

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Drukarev, Evgeny G., and Aleksandr I. Mikhailov. "Perturbation Theory." In High-Energy Atomic Physics, 25–50. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32736-5_3.

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Stingl, M. "An Extended Perturbation Theory for QCD." In Contemporary Topics in Medium Energy Physics, 63–76. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4757-9835-7_6.

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Stanton, Robert V., Steven L. Dixon, and Kenneth M. Merz. "Free Energy Perturbation Calculations Within Quantum Mechanical Methodologies." In ACS Symposium Series, 142–53. Washington, DC: American Chemical Society, 1996. http://dx.doi.org/10.1021/bk-1996-0629.ch010.

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Stanton, Robert V., Steven L. Dixon, and Kenneth M. Merz. "Free Energy Perturbation Calculations within Quantum Mechanical Methodologies." In Computational Approaches to Biochemical Reactivity, 103–23. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/0-306-46934-0_2.

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Barnett, B. L., and Cathleen B. Turner. "Free Energy Perturbation Techniques Applied To Subtilisin BPN’ Stability." In Advances in Experimental Medicine and Biology, 121–31. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-0319-0_13.

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Eisenman, George, Osvaldo Alvarez, and Johan Aqvist. "Free Energy Perturbation Simulations of Cation Binding to Valinomycin." In The Pedersen Memorial Issue, 23–53. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2532-1_3.

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Huang, Ji-Ping. "Temperature Trapping Theory: Energy-Free Thermostat." In Theoretical Thermotics, 107–17. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2301-4_10.

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Wu, Duo, and Lai-jun Liu. "Bridge damage pattern identification based on perturbation theory." In Advances in Energy Science and Equipment Engineering II, 455–59. Taylor & Francis Group, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487-2742: CRC Press, 2017. http://dx.doi.org/10.1201/9781315116167-90.

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Roy, Dipankar, and Andriy Kovalenko. "CHAPTER 6. Solvation Free Energy by 3D-RISM-KH Theory." In Gibbs Energy and Helmholtz Energy, 227–37. Cambridge: Royal Society of Chemistry, 2021. http://dx.doi.org/10.1039/9781839164095-00227.

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Conference papers on the topic "Free energy perturbation theory"

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ANDERSEN, JENS O. "THREE LOOP FREE ENERGY USING SCREENED PERTURBATION THEORY." In Proceedings of the SEWM2000 Meeting. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799913_0013.

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Varoto, Paulo S., and Andreza T. Mineto. "Nonlinear Dynamics of Piezoelectric Cantilever Energy Converters Through Perturbation Theory and Experimental Analysis." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34744.

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It is known that the best performance of a given piezoelectric energy harvester is usually limited to excitation at its fundamental resonance frequency. If the ambient vibration frequency deviates slightly from this resonance condition then the electrical power delivered is drastically reduced. One possible way to increase the frequency range of operation of the harvester is to design vibration harvesters that operate in the nonlinear regime. The main goal of this article is to discuss the potential advantages of introducing nonlinearities in the dynamics of a beam type piezoelectric vibration energy harvester. The device is a cantilever beam partially covered by piezoelectric material with a magnet tip mass at the beam’s free end. Governing equations of motion are derived for the harvester considering the excitation applied at its fixed boundary. Also, we consider the nonlinear constitutive piezoelectric equations in the formulation of the harvester’s electromechanical model. This model is then used in numerical simulations and the results are compared to experimental data from tests on a prototype. Numerical as well as experimental results obtained support the general trend that structural nonlinearities can improve the harvester’s performance.

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Pascual-Gutie´rrez, Jose´ A., Jayathi Y. Murthy, and Raymond Viskanta. "Thermal Conductivity and Phonon Transport Properties of Silicon Using Perturbation Theory and the Environment-Dependent Interatomic Potential." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12934.

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Perturbation theory is used to compute the strength of three-phonon and isotope scattering mechanisms in silicon using the Environment-Dependent Interatomic Potential (EDIP) without resorting to any parameter-fitting. A detailed methodology to accurately find three-phonon processes satisfying energy- and momentum-conservation rules is described. Bulk silicon thermal conductivity values are computed across a range of temperatures and shown to match experimental data well. It is found that about two-thirds of the heat transport in bulk silicon may be attributed to transverse acoustic modes. Effective relaxation times and mean free paths are computed in order to provide a more complete picture of the detailed transport mechanisms and for use with carrier transport models based on the Boltzmann transport equation.

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Rossikhin, Yury A., Marina V. Shitikova, and Viktor V. Shitikov. "Shock Interaction in Thermoelastic Rods With Temperature and Strain Coupling." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87350.

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The problem of collinear collision of two thermoelastic rods with equal cross-section and rheological parameters but of different length and temperature is considered. Both rods move along the common longitudinal axes with different velocities, and one rod approaches the other. Their lateral surfaces and free ends are thermally insulated, and free thermal exchange is established via contacting ends. Thermoelastic behavior of the rods is described by the Green-Naghdy theory without energy dissipation, and D’Alembert solution is utilized as a method of solution. Since the coupling between the temperature and strain fields is assumed to be small, then the perturbation technique is used as well. The proposed procedure allows one to construct an analytical solution enabling to study the influence of thermoelastic parameters on the contact duration of two rods, as well as to obtain the stress, displacement velocity, temperature, and heat flow dependences of time and coordinate.

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Gómez Nicola, A. "Thermal Meson properties within Chiral Perturbation Theory." In HADRON PHYSICS: Effective Theories of Low Energy QCD Second International Workshop on Hadron Physics. AIP, 2003. http://dx.doi.org/10.1063/1.1570568.

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Nicola, Angel Gómez. "Nonequilibrium chiral perturbation theory and disoriented chiral condensates." In The international workshop on hadron physics of low energy QCD. AIP, 2000. http://dx.doi.org/10.1063/1.1303025.

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Lu, C. X., C. C. Wang, C. K. Sung, and Paul C. P. Chao. "Dynamic Analysis of a Motion Transformer Mimicking a Hula Hoop." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86378.

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Hula-hoop motion refers to the spinning of a ring around a human body; it is made possible by the interactive force between the moving ring and the body. Inspired by the generic concept of hula-hoop motion, this study proposes a novel motion transformer design that consists of a main mass sprung in one translational direction and a free-moving mass attached at one end of a rod, the other end of which is hinged onto the center of the main mass. It is expected that the transformer is capable of transforming linear reciprocating motion into rotational motion. In addition, the transformer could be integrated with coils, magnets, and electric circuits to form a portable energy scavenging device. A thorough dynamic analysis of the proposed transformer system is conducted in this study in order to characterize the relationships between the varied system parameters and the chance of hula-hoop motion occurrence. The governing equations are first derived by using Lagrange’s Method, which is followed by the search for steady-state solutions and the corresponding stability analysis via the homotopy perturbation method and Floquet theory. Direct numerical simulation is simultaneously performed to verify the correctness of the approximate analysis. In this manner, the feasibility of the proposed design and the occurrence criteria of hula-hoop motion are assessed.

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Bar, Oliver, and Sinya Aoki. "Determining the low energy parameters of Wilson Chiral Perturbation Theory." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0046.

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Maas, Axel. "Accessing the properties of the elementary Higgs beyond perturbation theory." In 35th International Conference of High Energy Physics. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.120.0375.

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Enemark, Søren, and Ilmar F. Santos. "Dynamic Interaction Between Rotor and Axially-Magnetized Passive Magnetic Bearing Considering Magnetic Eccentricity." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38032.

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Passive magnetic bearings are known due to the excellent characteristics in terms of friction and no requirement of additional energy sources to work. However, passive magnetic bearings do not provide damping, are not stable and, depending on their design, may also introduce magnetic eccentricity. Such magnetic eccentricities are generated by discrepancies in magnet fabrication. In this framework the main focus of the work is the theoretical as well as experimental investigation of the non-linear dynamics of a rotor-bearing system with strong emphasis on the magnetic eccentricities and non-linear stiffness. In this investigation passive magnetic bearings using axially-aligned neodymium cylinder magnets are investigated. The cylinder magnets are axially magnetised for rotor as well as bearings. Compared to bearings with radial magnetisation, the magnetic stiffness of axially-aligned bearings is considerably lower, nevertheless they allow for asymmetric stiffness mounting, and it could be beneficial for rotor stabilization. A theoretical model is proposed to describe the non-linear rotor-bearing dynamics. It takes into account non-linear behaviour of the magnetic forces and their interaction with a multi-body system composed of rigid rotor and flexible foundation. The magnetic eccentricities of the shaft magnets are modelled using the distances (amplitudes) and directions (phase angles) between the shaft axis and the centre of the magnetic fields generated. A perturbation method, i.e. harmonic balancing, is used in order to evaluate the frequency response of the non-linear system. The experimental validation of the model is carried out using a dedicated rotor-bearing system set-up. The test set-up consists of a vertical rigid shaft and disc supported by two passive magnetic bearings using axially-aligned neodymium cylinder magnets. The magnetic bearing housings are flexibly supported, allowing horizontal motions. The housings are connected to each other by means of elastic beams. The shaft is free in one end and coupled to a DC motor on the other by means of a flexible coupling. On the free end a disc is attached where imbalances and gyroscopic effect can be generated. Comparison between theory and experiment shows high level of resemblance, which validates the theoretical model and the explanations for the quasi-static and dynamic responses. The magnetic eccentricities and mass imbalance effects are clearly detected and distinguished.

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Reports on the topic "Free energy perturbation theory"

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Forest, E. Hamiltonian-free perturbation theory: The concept of phase advance. Office of Scientific and Technical Information (OSTI), February 1987. http://dx.doi.org/10.2172/6733115.

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Ho, L. Lawrence, P. A. Bash, and A. D. ,. Jr Kerell. Proton and hydride transfers in solution: hybrid QMmm/MM free energy perturbation study. Office of Scientific and Technical Information (OSTI), March 1996. http://dx.doi.org/10.2172/207038.

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Williams, Hayes L., Betsy M. Rice, and Cary F. Chabalowski. Investigation of the CH3CN-CO2 Potential Energy Surface (PES) Using Symmetry-Adapted Perturbation Theory (SAPT). Fort Belvoir, VA: Defense Technical Information Center, September 2000. http://dx.doi.org/10.21236/ada383319.

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Preitschopf, Christian Richard. Two Exercises in Supersymmetry: A Low-Energy Supergravity Model and Free String Field Theory. Office of Scientific and Technical Information (OSTI), June 2018. http://dx.doi.org/10.2172/1454020.

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Preitschopf, C. R. Two exercises in supersymmetry: a low-energy supergravity model and free string field theory. Office of Scientific and Technical Information (OSTI), September 1986. http://dx.doi.org/10.2172/5213163.

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Antonsen, T. M. Jr, W. W. Destler, V. Granatstein, and B. Levush. Microwave generation for magnetic fusion energy applications. Task A, Free electron lasers with small period wigglers; Task B, Theory and modeling of high frequency, high power gyrotron operation: Progress report, May 1, 1993--May 1, 1994. Office of Scientific and Technical Information (OSTI), May 1994. http://dx.doi.org/10.2172/10151962.

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