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Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

We have connected the dynamic fragility, namely the rapidity of the relaxation time increase upon temperature reduction, to the excess entropy and heat capacity of a large number of glass-forming polymers. The connection was obtained in a…

Soft Condensed Matter · Physics 2009-11-11 D. Cangialosi , A. Alegria , J. Colmenero

We study thermodynamic formalism of dynamical systems with non-uniform structure. Precisely, we obtain the uniqueness of equilibrium states for a family of non-uniformly expansive flows by generalizing Climenhaga-Thompson's orbit…

Dynamical Systems · Mathematics 2025-04-18 Tianyu Wang , Weisheng Wu

Understanding how macroscopic systems exhibit irreversible thermal behavior has been a long-standing challenge, first brought to prominence by Boltzmann. Recent advances have established rigorous conditions for isolated quantum systems to…

Quantum Physics · Physics 2025-04-10 M. R. Passos , Thiago R. de Oliveira

We study ergodic properties of certain piecewise smooth two-dimensional systems by constructing countable Markov partitions. Using thermodynamic formalism we prove exponential decay of correleations.

Dynamical Systems · Mathematics 2016-01-25 Michael Jakobson

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

Statistical Mechanics · Physics 2020-03-18 Deepak Gupta , Amos Maritan

The stability conditions of a relativistic hydrodynamic theory can be derived directly from the requirement that the entropy should be maximised in equilibrium. Here we use a simple geometrical argument to prove that, if the hydrodynamic…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elegance and enormous success have led to numerous attempts to…

Statistical Mechanics · Physics 2023-06-22 Themis Matsoukas

Chemical processes in closed systems are poorly controllable since they always relax to equilibrium. Living systems avoid this fate and give rise to a much richer diversity of phenomena by operating under nonequilibrium conditions. Recent…

Chemical Physics · Physics 2019-09-11 Emanuele Penocchio , Riccardo Rao , Massimiliano Esposito

In systems with detailed balance, the stationary distribution and the equilibrium distribution are identical, creating a clear connection between energetic and entropic quantities. Many driven systems violate detailed balance and still pose…

Statistical Mechanics · Physics 2025-01-22 Markus Hofer , Jan Korbel , Rudolf Hanel , Stefan Thurner

There is a long-standing question as to whether and to what extent it is possible to describe nonequilibrium systems in stationary states in terms of global thermodynamic functions. The positive answers have been obtained only for…

Statistical Mechanics · Physics 2022-11-30 Robert Hołyst , Karol Makuch , Anna Maciołek , Paweł J. Żuk

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

Mathematical Physics · Physics 2012-01-24 Nikolaj A. Veniaminov

According to maximum entropy principle, it has been proved that the gravitational field equations could be derived by the extrema of total entropy for perfect fluid, which implies that thermodynamic relations contain information of gravity.…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Xiongjun Fang , Xiaokai He , Jiliang Jing

A periodic array of atomic sites, described within a tight binding formalism is shown to be capable of trapping electronic states as it grows in size and gets stubbed by an atom or an atomic clusters from a side in a deterministic way. We…

Disordered Systems and Neural Networks · Physics 2018-03-13 Amrita Mukherjee , Atanu Nandy , Arunava Chakrabarti

We review the inherent structure thermodynamical formalism and the formulation of an equation of state for liquids in equilibrium based on the (volume) derivatives of the statistical properties of the potential energy surface. We also show…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , E. La Nave , P. Tartaglia , F. Sciortino

Comparison of the thermodynamic entropy with Boltzmann's principle shows that under conditions of constant volume the total number of arrangements in simple thermodynamic systems with temperature-independent heat capacities is TC/k. A…

General Physics · Physics 2009-11-13 David Sands

We provide a unified thermodynamic formalism describing information transfers in autonomous as well as nonautonomous systems described by stochastic thermodynamics. We demonstrate how information is continuously generated in an auxiliary…

Statistical Mechanics · Physics 2014-08-06 Jordan M. Horowitz , Massimiliano Esposito

In this work we study, at the single molecular level, the thermodynamic and dynamic characteristics of an enzymatic reaction comprising a rate limiting step. We investigate how the stability of the enzyme-state stationary probability…

Subcellular Processes · Quantitative Biology 2015-05-20 Moisés Santillán

Using the gauge-gravity duality, we argue that for a certain class of out-of-equilibrium steady-state systems in contact with a thermal background at a given temperature, the macroscopic physics can be captured by an effective thermodynamic…

High Energy Physics - Theory · Physics 2015-02-26 Arnab Kundu , Sandipan Kundu

The thermodynamic formalism, which was first developed for dynamical systems and then applied to discrete Markov processes, turns out to be well suited for continuous time Markov processes as well, provided the definitions are interpreted…

Statistical Mechanics · Physics 2009-11-13 Vivien Lecomte , Cecile Appert-Rolland , Frederic Van-Wijland