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Statistical Mechanics of an Integrable System [PDF]
Journal of statistical physics, 2020 We provide here an explicit example of Khinchin’s idea that the validity of equilibrium statistical mechanics in high dimensional systems does not depend on the details of the dynamics, as it is basically a matter of choosing the “proper” observables ...
Marco Baldovin +2 more
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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics [PDF]
, 2015 This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is introduced as a natural extension of ideas from quantum
L. D'Alessio +3 more
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Thermodynamics of non-elementary chemical reaction networks
New Journal of Physics, 2020 We develop a thermodynamic framework for closed and open chemical networks applicable to non-elementary reactions that do not need to obey mass action kinetics.
Francesco Avanzini +2 more
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From Relativistic Mechanics towards Relativistic Statistical Mechanics
Entropy, 2017 Till now, kinetic theory and statistical mechanics of either free or interacting point particles were well defined only in non-relativistic inertial frames in the absence of the long-range inertial forces present in accelerated frames.
Luca Lusanna
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Stochastic thermodynamics of all-to-all interacting many-body systems
New Journal of Physics, 2020 We provide a stochastic thermodynamic description across scales for N identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces.
Tim Herpich +3 more
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Many-Body Localization and Thermalization in Quantum Statistical Mechanics [PDF]
, 2014 We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-
R. Nandkishore, D. Huse
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Geometrization of statistical mechanics
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1999 Classical and quantum statistical mechanics are cast here in the language of projective geometry to provide a unified geometrical framework for statistical physics. After reviewing the Hilbert space formulation of classical statistical thermodynamics, we introduce projective geometry as a basis for analysing probabilistic aspects of statistical physics.
Lane P. Hughston, Dorje C. Brody
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STATISTICAL MECHANICS AND IRREVERSIBILITY [PDF]
Proceedings of the National Academy of Sciences, 1965 Frank C. Andrews
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Thermodynamic efficiency in dissipative chemistry
Nature Communications, 2019 Open chemical systems operate out of equilibrium, providing more opportunities than closed systems, but a theoretical framework to describe their performance is lacking. Here, the authors assess the efficiency of two classes of dissipative processes with
Emanuele Penocchio +2 more
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Fractional statistical mechanics [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2006 The Liouville and first Bogoliubov hierarchy equations with derivatives of noninteger order are derived. The fractional Liouville equation is obtained from the conservation of probability to find a system in a fractional volume element. This equation is used to obtain Bogoliubov hierarchy and fractional kinetic equations with fractional derivatives ...
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