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In statistical mechanics, measuring the number of available states and their probabilities, and thus the system's entropy, enables the prediction of the macroscopic properties of a physical system at equilibrium. This predictive capacity…

统计力学 · 物理学 2023-12-14 Mathias Casiulis , Stefano Martiniani

This contribution analyses the classical laws of motion by means of an approach relating time and entropy. We argue that adopting the notion of change of states as opposed to the usual derivation of Newton's laws in terms of fields a…

综合物理 · 物理学 2007-06-19 R Assumpcao

An open question in the field of non-equilibrium statistical physics is whether there exists a unique way through which non-equilibrium systems equilibrate irrespective of how far they are away from equilibrium. To answer this question we…

统计力学 · 物理学 2014-03-14 P. Barat , A. Giri , Nilangshu K. Das , M. Bhattacharya , A. Dutta

Statistical thermodynamics is valuable as a conceptual structure that shapes our thinking about equilibrium thermodynamic states. A cloud of unresolved questions surrounding the foundations of the theory could lead an impartial observer to…

统计力学 · 物理学 2025-10-31 O. B. Ericok , J. K. Mason

Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the…

统计力学 · 物理学 2015-04-24 Ying Tang , Ruoshi Yuan , Jianhong Chen , Ping Ao

The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics…

高能物理 - 理论 · 物理学 2009-10-30 Christof Wetterich

We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

统计力学 · 物理学 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

Computer simulations generate trajectories at a single, well-defined thermodynamic state point. Statistical reweighting offers the means to reweight static and dynamical properties to different equilibrium state points by means of analytic…

计算物理 · 物理学 2019-12-25 Marius Bause , Timon Wittenstein , Kurt Kremer , Tristan Bereau

When modelling driven steady states of matter, it is common practice either to choose transition rates arbitrarily, or to assume that the principle of detailed balance remains valid away from equilibrium. Neither of those practices is…

统计力学 · 物理学 2009-11-10 R. M. L. Evans

I give a highly selective overview of the way statistical mechanics explains the microscopic origins of the time asymmetric evolution of macroscopic systems towards equilibrium and of first order phase transitions in equilibrium. These…

数学物理 · 物理学 2009-10-31 Joel L. Lebowitz

We investigate the profound relation between the equations of biological evolution and quantum mechanics by writing a biologically inspired equation for the stochastic dynamics of an ensemble of particles. Interesting behavior is observed…

统计力学 · 物理学 2015-05-20 Ginestra Bianconi , Christoph Rahmede

Life is characterized by a myriad of complex dynamic processes allowing organisms to grow, reproduce, and evolve. Physical approaches for describing systems out of thermodynamic equilibrium have been increasingly applied to living systems,…

生物物理 · 物理学 2020-12-16 Xiaona Fang , Karsten Kruse , Ting Lu , Jin Wang

A new theoretical approach to non-equilibrium statistical systems has recently been proposed by the author, a co-author and others. It is based on a variational principle which is associated with the discrepancy of a path through…

统计力学 · 物理学 2019-08-06 Richard Kleeman

A view on the physical meaning of the so called ergodic hypothesis: its role on the foundations of equilibrium statistical mechanics in mid '800, its interpretations and hints at its relevance for modern nonequilibrium statistical…

统计力学 · 物理学 2016-10-06 Giovanni Gallavotti

This paper proposes a theory that bridges classical analytical mechanics and nonequilibrium thermodynamics. Its intent is to derive the evolution equations of a system from a stationarity principle for a suitably augmented Lagrangian…

统计力学 · 物理学 2022-11-10 Paolo Podio-Guidugli , Epifanio G. Virga

There are three levels of description in classical statistical mechanics, the microscopic/dynamic, the macroscopic/statistical and the thermodynamic. At one end there is a well-used concept of equilibrium in thermodynamics and at the other…

统计力学 · 物理学 2007-05-23 D. A. Lavis

Abstract: Models for studying systems in stationary states but out of equilibrium have often empirical nature and very often break the fundamental time reversal symmetry. Here a formal interpretation will be discussed of the widespread idea…

统计力学 · 物理学 2021-11-09 Giovanni Gallavotti

Physics relies on mathematical spaces carefully matched to the phenomena under study. Phase space in classical mechanics, Hilbert space in quantum theory, configuration spaces in field theory all provide representations in which physical…

其他定量生物学 · 定量生物学 2026-01-23 Arturo Tozzi

Statistical physics is important in understanding the physics of interacting many bodies. This has been historically developed by attempts to understand colliding gases and quantifying quantities like entropy, free energy, and other…

量子物理 · 物理学 2023-06-28 Niamat Gill , Nishchal Dwivedi

We examine stochastic processes that are used to model nonequilibrium processes (e.g, pulling RNA or dragging colloids) and so deliberately violate detailed balance. We argue that by combining an information-theoretic measure of…

统计力学 · 物理学 2009-11-13 R. A. Blythe