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Biomolecular processes are typically modeled using chemical reaction networks coupled to infinitely large chemical reservoirs. A difference in chemical potential between these reservoirs can drive the system into a non-equilibrium steady…

统计力学 · 物理学 2020-06-17 Jonas H. Fritz , Basile Nguyen , Udo Seifert

We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a continuous time limit of a discrete time formulation. We point…

统计力学 · 物理学 2020-08-27 Mário J. de Oliveira

We present a construction of non-equilibrium steady states within conformal field theory. These states sustain energy flows between two quantum systems, initially prepared at different temperatures, whose dynamical properties are…

数学物理 · 物理学 2015-06-23 D. Bernard , B. Doyon , J. Viti

Cat states, which were initially proposed to manifest macroscopic superpositions, play an outstanding role in fundamental aspects of quantum dynamics. In addition, they have potential applications in quantum computation and quantum sensing.…

量子物理 · 物理学 2022-08-30 Zheng-Yang Zhou , Clemens Gneiting , Wei Qin , J. Q. You , Franco Nori

In the last few decades, some hypotheses for entropy production (EP) principles have been forwarded as possible candidates for organizational principles in non-linear non- equilibrium systems. Two important hypotheses will be studied: the…

化学物理 · 物理学 2007-05-23 Stijn Bruers

Focusing on isolated macroscopic systems, described either in terms of a quantum mechanical or a classical model, our two key questions are: In how far does an initial ensemble (usually far from equilibrium and largely unknown in detail)…

统计力学 · 物理学 2013-11-13 Peter Reimann , Mykhaylo Evstigneev

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations.…

统计力学 · 物理学 2020-03-19 V. V. Ryazanov

Most natural thermodynamic systems operate far from equilibrium, developing persistent currents and organizing into non-equilibrium stationary states (NESSs). Yet, the principles by which such systems self-organize, breaking equilibrium…

统计力学 · 物理学 2025-11-11 Matteo Sireci , Luca Peliti , Daniel Maria Busiello

We give an introduction to phase transitions in the steady states of systems that evolve stochastically with equilibrium and nonequilibrium dynamics, the latter defined as those that do not possess a time-reversal symmetry. We try as much…

统计力学 · 物理学 2009-11-11 R. A. Blythe

In nature stationary nonequilibrium systems cannot exist on their own, rather they need to be driven from outside in order to keep them away from equilibrium. While the internal mean entropy of such stationary systems is constant, the…

统计力学 · 物理学 2013-10-03 Somayeh Zeraati , Farhad H. Jafarpour , Haye Hinrichsen

Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibrium steady state (NESS) by adiabatically turning on an…

数学物理 · 物理学 2013-04-10 Horia D. Cornean , Pierre Duclos , Radu Purice

The question of characterization of the degree of non-equilibrium activity in active matter systems is studied in the context of a stochastic microswimmer model driven by a chemical cycle. The resulting dynamical properties and entropy…

统计力学 · 物理学 2024-05-27 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

We show that a localized quantum system following an arbitrary stationary trajectory and weakly interacting with a stationary thermal bath of a massless scalar field is generically driven into a non-Gibbs steady state by relative motion…

量子物理 · 物理学 2025-12-23 Rahul Shastri

Following the proposal of steady state thermodynamics (SST) by Oono and Paniconi, we develop a phenomenological theory for steady nonequilibrium states in systems with heat conduction. We find that there is essentially a unique consistent…

统计力学 · 物理学 2007-05-23 Shin-ichi Sasa , Hal Tasaki

We review a dynamical approach to non-equilibrium MD (D-NEMD). We show how, using a proper simulation setup, is possible to treat interesting cases in which the initial condition is a stationary non-equilibrium state produced by a suitable…

计算物理 · 物理学 2015-05-27 Sergio Orlandini , Simone Meloni , Giovanni Ciccotti

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

统计力学 · 物理学 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

A complete mathematical theory of nonequilibrium thermodynamics of stochastic systems in terms of master equations is presented. As generalizations of isothermal entropy and free energy, two functions of states play central roles: the Gibbs…

统计力学 · 物理学 2010-05-28 Hao Ge , Hong Qian

Far-from-equilibrium thermodynamics underpins the emergence of life, but how has been a long-outstanding puzzle. Best candidate theories based on the maximum entropy production principle could not be unequivocally proven, in part due to…

定量方法 · 定量生物学 2017-10-10 Robert G. Endres

The stability of stationary solutions of first-order systems of PDE's are considered. They may include some singular geometric terms, leading to discontinuous flux and non-conservative products. Based on several examples in Fluid Mechanics,…

偏微分方程分析 · 数学 2017-09-15 Nicolas Seguin

For many-electron systems, we consider a nonequilibrium state (NES) that is driven by a pump field(s), which is either an optical field or a longitudinal electric field. For the differential optical conductivity describing the differential…

强关联电子 · 物理学 2011-08-23 Akira Shimizu , Tatsuro Yuge