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equipartition and retrieval of Green's function

Earthquake Science 2010年第5期23卷 397-402页

作者： Richard L.Weaver Department of Physics University of Illinois

Physical and mathematical arguments are presented for equipartition as the statistical state achieved by a ran- dom field, independent of its sources, in the limit of enough scattering. The arguments are simplest for the case of thermally excited fields, but are shown to apply also, with caveats, in non-equilibrium acoustics and seismology. Practical implications are discussed.

关键词： noise correlation equipartition elastic waves information entropy

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Transitions to Equilibrium State in Classical φ4 Lattice

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Communications in Theoretical Physics 2002年第8期38卷 157-162页

作者： WANG Xin-Gang ZHANG Ying HU Gang Department of Physics Beijing Normal University Beijing 100875 China The Abdus Salam International Centre for Theoretical Physics (ICTP) P.O. Box 586 34100 Trieste Italy Department of Physics Beijing Normal University Beijing 100875 China

Statistical behavior of a classical φ4 Hamiltonian lattice is investigated from microscopic dynamics. Thelargest Lyapunov exponent and entropies are considered for manifesting chaos and equipartition behaviors of the system.It is found, for the first time, that for any large while finite system size there exist two critical couplings for the transitionsto equipartitions, and the scaling behaviors of these lower and upper critical couplings vs. the system size are numericallyobtained.

关键词： Hamiltonian system, measure synchronization, equilibrium, equipartition

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Energy and Heat Fluctuations in a Temperature Quench

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Communications in Theoretical Physics 2014年第10期61卷 555-570页

作者： M.Zannetti F.Corberi G.Gonnella A.Piscitelli Dipartimento di Fisica "E.Caianiello" and CNISMUnità di SalernoUniversità di Salernovia Giovanni Paolo II 13284084 Fisciano (SA)Italy Kavli Institute for Theoretical Physics China the Chinese Academy of Sciences Dipartimento di Fisica Università di Bari and INFNSezione di Barivia Amendola 17370126 BariItaly Division of Physical Sciences School of Physical and Mathematical SciencesNanyang Technological University21 Nanyang Link637371Singapore

Fluctuations of energy and heat are investigated during the relaxation following the instantaneous temperature quench of an extended system. Results are obtained analytically for the Gaussian model and for the large N model quenched below the critical temperature TC. The main finding is that fluctuations exceeding a critical threshold do condense. Though driven by a mechanism similar to that of Bose–Einstein condensation, this phenomenon is an out-of-equilibrium feature produced by the breaking of energy equipartition occurring in the transient regime. The dynamical nature of the transition is illustrated by phase diagrams extending in the time direction.

关键词： fluctuations condensation temperature quench relaxation equipartition breaking

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Uniformity principle of temperature difference field in heat transfer optimization

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Chinese Physics B 2019年第6期28卷 245-253页

作者：程雪涛梁新刚 Department of Science and Technology of Anhui Province Hefei 230091China Key Laboratory for Thermal Science and Power Engineering of Ministry of Education Department of Engineering MechanicsTsinghua UniversityBeijing 100084China

The uniformity principle of temperature difference field is very useful in heat exchanger analyses and optimizations.In this paper, we analyze some other heat transfer optimization problems in the thermal management system of spacecrafts,including the cooling of thermal components, the one-stream series-wound heat exchanger network, the volume-to-point heat conduction problem, and the radiative heat transfer optimization problem, and have found that the uniformity principle of temperature difference field also holds. When the design objectives under the given constraints are achieved, the distributions of the temperature difference fields are uniform. The principle reflects the characteristic of the distribution of potential in the heat transfer optimization problems. It is also shown that the principle is consistent with the entransy theory. Therefore, although the principle is intuitive and phenomenological, the entransy theory can be the physical basis of the principle.

关键词： heat transfer optimization uniformity principle of temperature difference field equipartition of potential entransy theory

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