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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

In glass physics, order parameters have long been used in the thermodynamic description of glasses, but the nature is not yet clear. The difficulty is how to find order in disordered systems. The usual treatment of glass as an exceptional…

Disordered Systems and Neural Networks · Physics 2023-12-05 Koun Shirai

Recently a novel concise representation of the probability distribution of heat conducting nonequilibrium steady states was derived. The representation is valid to the second order in the ``degree of nonequilibrium'', and has a very…

Statistical Mechanics · Physics 2009-11-13 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki

Nonequilibrium conditions fundamentally change how systems undergo phase separation. In systems with temperature gradients, attractive particles have been shown to form periodic patterns and steady convective currents, but a clear…

Statistical Mechanics · Physics 2026-03-09 Meander Van den Brande , François Huveneers , Kyosuke Adachi

Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities such as matter, energy and charge flow from outer reservoirs across a system, and how they irreversibly degrade from one form to another. Stochastic…

Statistical Mechanics · Physics 2016-11-15 Matteo Polettini , Gregory Bulnes Cuetara , Massimiliano Esposito

The present paper reports our attempt to search for a new universal framework in nonequilibrium physics. We propose a thermodynamic formalism that is expected to apply to a large class of nonequilibrium steady states including a heat…

Statistical Mechanics · Physics 2007-05-23 Shin-ichi Sasa , Hal Tasaki

The response and nonconserved dynamics of a two-phase interface in the presence of a temperature gradient oriented normally to the interface are considered. Two types of boundary conditions on the order parameter are considered, and the…

Condensed Matter · Physics 2009-10-22 D. Boyanovsky , D. Jasnow , J. Llambias , F. Takakura

Based on Brownian dynamics simulations, we investigate the thermodynamic signatures of non-equilibrium steady states in a confined colloidal suspensions under shear flow. Specifically, we consider a thin film consisting of charged particles…

Soft Condensed Matter · Physics 2019-01-02 Sascha Gerloff , Sabine H. L. Klapp

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

So far the problem of interface behavior upon phase transition has not yet acquired a satisfactory mathematical formulation due to a variety of the physical phenomena involved. Analytical solutions exist only for elementary problems…

Statistical Mechanics · Physics 2011-08-12 Alex Guskov

Quantum-Induced Stochastic Dynamics arises from the coupling between a classical system and a quantum environment. Unlike standard thermal reservoirs, this environment acts as a dynamic bath, capable of simultaneously exchanging heat and…

Statistical Mechanics · Physics 2026-02-12 Pedro V. Paraguassú

A candidate for a consistent steady state thermodynamics is constructed for a radiation field in vacuum sandwiched by two black bodies of different temperatures. Because of the collisionless nature of photons, a steady state of a radiation…

Statistical Mechanics · Physics 2015-06-25 Hiromi Saida

Spontaneous symmetry breaking is a hallmark of equilibrium systems, typically characterized by a single critical point separating ordered and disordered phases. Recently, a novel class of non-equilibrium phase transitions was uncovered…

Statistical Mechanics · Physics 2025-12-16 Gustavo A. L. Forão , Jonas Berx , Tan Van Vu , Carlos E. Fiore

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

Optimization and Control · Mathematics 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We study a model for the depinning and driven steady state phases of a solid tuned across a polymorphic phase transition between ground states of triangular and square symmetry. These include pinned states which may have dominantly…

Superconductivity · Physics 2015-05-14 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

The conserved Swift-Hohenberg equation with cubic nonlinearity provides the simplest microscopic description of the thermodynamic transition from a fluid state to a crystalline state. The resulting phase field crystal model describes a…

Pattern Formation and Solitons · Physics 2014-05-13 Uwe Thiele , Andrew J. Archer , Mark J. Robbins , Hector Gomez , Edgar Knobloch

Nonequilibrium steady state of isothermal biochemical cycle kinetics has been extensively studied, but much less investigated under non-isothermal conditions. However, once the heat exchange between subsystems is rather slow, the isothermal…

Chemical Physics · Physics 2016-10-11 Xiao Jin , Hao Ge

Time-dependently driven stochastic systems form a vast and manifold class of non-equilibrium systems used to model important applications on small length scales such as bit erasure protocols or microscopic heat engines. One property that…

Statistical Mechanics · Physics 2022-04-07 Julius Degünther , Timur Koyuk , Udo Seifert

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

Statistical Mechanics · Physics 2024-12-23 Zhaoyu Fei

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis