GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER [PDF]
Modern Physics Letters B, 2004 Classical statistical average values are generally generalized to average values of quantum mechanics. It is discovered that quantum mechanics is a direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and ...
F. C. Ma, Y. C. Huang, N. Zhang
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Statistical Mechanics and Applications in Condensed Matter [PDF]
Physics Today, 2016 Erio Tosatti
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Models of dark matter halos based on statistical mechanics: The fermionic King model [PDF]
, 2014 We discuss the nature of phase transitions in the fermionic King model which describes tidally truncated quantum self-gravitating systems. This distribution function takes into account the escape of high energy particles and has a finite mass.
P. Chavanis, M. Lemou, Florian M'ehats
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Statistical mechanics of Floquet quantum matter: exact and emergent conservation laws [PDF]
Journal of Physics: Condensed Matter, 2021 Equilibrium statistical mechanics rests on the assumption of chaotic dynamics of a system modulo the conservation laws of local observables: extremization of entropy immediately gives Gibbs’ ensemble (GE) for energy conserving systems and a generalized ...
A. Haldar, Arnab Das
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Why neural functionals suit statistical mechanics [PDF]
Journal of Physics: Condensed Matter, 2023 We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body simulations. We argue that the neural functional theory by Sammüller et al
Florian Sammüller +2 more
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Developments in the Tensor Network — from Statistical Mechanics to Quantum Entanglement [PDF]
Journal of the Physical Society of Japan, 2021 Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information, and quantum gravity.
K. Okunishi, T. Nishino, H. Ueda
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Why Noether’s theorem applies to statistical mechanics [PDF]
Journal of Physics: Condensed Matter, 2021 Noether’s theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system.
Sophie Hermann, M. Schmidt
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A condensed-matter analogue of the false vacuum [PDF]
, 2021 Through experimental investigation into the behaviour of a polar dielectric working fluid, an ideal ‘quasi-thermodynamic’ cycle has been established.
M. Gibbons
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Non-recursive chadi-cohen integration over the brillouin zone of cubic crystals [PDF]
Philosophical Magazine B, 2001 Abstract We give closed-form non-recursive formulae for the Chadi-Cohen sets of special points associated with the bcc and fcc symmetries. The expressions are valid for arbitrary order n, which enters them as a parameter. This ameliorates the situation of the Chadi-Cohen method of integration over Brillouin zones, whose application to high-precision ...
Rogan, J, Lagos, M
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Statistical Mechanics of Discrete Multicomponent Fragmentation [PDF]
Condensed Matter, 2020 We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer multicomponent mass is
T. Matsoukas
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