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The ability to monitor nutrient and other environmental conditions with high sensitivity is crucial for cell growth and survival. Sensory adaptation allows a cell to recover its sensitivity after a transient response to a shift in the…

Subcellular Processes · Quantitative Biology 2016-01-07 Shou-Wen Wang , Yueheng Lan , Lei-Han Tang

We study heat conduction in a harmonic crystal whose bulk dynamics is supplemented by random reversals (flips) of the velocity of each particle at a rate $\lambda$. The system is maintained in a nonequilibrium stationary state(NESS) by…

Statistical Mechanics · Physics 2011-02-17 Abhishek Dhar , Joel Lebowitz , Venkateshan Kannan

We study nonequilibrium steady states of a one-dimensional stochastic model, originally introduced as an approximation of the Discrete Nonlinear Schr\"odinger equation. This model is characterized by two conserved quantities, namely mass…

Statistical Mechanics · Physics 2023-06-29 Stefano Iubini , Antonio Politi , Paolo Politi

This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Markov jump processes are analyzed under a thermodynamic limit…

Probability · Mathematics 2009-09-29 Nelson Antunes , Christine Fricker , Philippe Robert , Danielle Tibi

The theory of slow-fast gradient systems leads in a natural way to non-equilibrium steady states, because on the slow time scale the fast subsystem stays in steady states that are controlled by the interaction with the slow system. Using…

Analysis of PDEs · Mathematics 2023-10-06 Alexander Mielke

We investigate the nonequilibrium steady state (NESS) in an open quantum XXZ chain with strong $XY$ plane boundary polarization gradient. Using the general theory developed in [1], we show that in the critical $XXZ$ $|\Delta|<1$ easy plane…

Quantum Physics · Physics 2017-09-27 Vladislav Popkov , Johannes Schmidt , Carlo Presilla

Consider (for simplicity) two one-dimensional semi-infinite leads coupled to a quantum well via time dependent point interactions. In the remote past the system is decoupled, and each of its components is at thermal equilibrium. In the…

Mathematical Physics · Physics 2009-09-24 Horia D. Cornean , Hagen Neidhardt , Valentin A. Zagrebnov

The quasi-static evolution of steady states far from equilibrium is investigated from the point of view of quantum statistical mechanics. As a concrete example of a thermodynamic system, a two-level quantum dot coupled to several reservoirs…

Mathematical Physics · Physics 2009-11-11 Walid K. Abou Salem

This Article investigates dissipative preparation of entangled non-equilibrium steady states (NESS). We construct a collision model where the open system consists of two qubits which are coupled to heat reservoirs with different…

Quantum Physics · Physics 2021-12-08 Daniel Heineken , Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

Aiming at studying the emergence of Non-Equilibrium Steady States (NESS) in quantum integrable models by means of an exact analytical method, we focus on the Tonks-Girardeau or hard-core boson limit of the Lieb-Liniger model. We consider…

Statistical Mechanics · Physics 2020-07-27 Spyros Sotiriadis

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

We study closed dense collections of hard spheres that collide inelastically with constant coefficient of normal restitution. We find inhomogeneous states (IS) where the density profile is spatially non-uniform but constant in time. The…

Chaotic Dynamics · Physics 2014-02-19 Itzhak Fouxon

We investigate analytically and numerically the spatial structure of the non-equilibrium stationary states (NESS) of a point particle moving in a two dimensional periodic Lorentz gas (Sinai Billiard). The particle is subject to a constant…

Chaotic Dynamics · Physics 2015-05-30 Federico Bonetto , Nikolay Chernov , Alexey Korepanov , Joel L. Lebowitz

Understanding the entanglement structure of out-of-equilibrium many-body systems is a challenging yet revealing task. Here we investigate the entanglement dynamics after a quench from a piecewise homogeneous initial state in integrable…

Statistical Mechanics · Physics 2018-06-26 Vincenzo Alba

Modern design, control, and optimization often requires simulation of highly nonlinear models, leading to prohibitive computational costs. These costs can be amortized by evaluating a cheap surrogate of the full model. Here we present a…

Machine Learning · Computer Science 2021-03-25 Ranjan Anantharaman , Yingbo Ma , Shashi Gowda , Chris Laughman , Viral Shah , Alan Edelman , Chris Rackauckas

We consider Lindblad dynamics of quantum spin systems on infinite lattices and define a nonequilibrium steady state (NESS) and a time-averaged nonequilibrium steady state (TANESS) on the basis of $C^*$-algebraic formalism. Generically, the…

Mathematical Physics · Physics 2025-08-12 Kenji Shimomura , Nagisa Hara , Seiichiro Kusuoka

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…

Computational Physics · Physics 2019-12-25 Marius Bause , Timon Wittenstein , Kurt Kremer , Tristan Bereau

We consider a stochastic particle system in which a finite number of particles interact with one another via a common energy tank. Interaction rate for each particle is proportional to the square root of its kinetic energy, as is consistent…

Probability · Mathematics 2016-01-06 Yao Li , Lai-Sang Young

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…

Statistical Mechanics · Physics 2025-11-11 Matteo Sireci , Luca Peliti , Daniel Maria Busiello

Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schr\"odinger…

Statistical Mechanics · Physics 2016-08-24 S. Iubini , S. Lepri , R. Livi , A. Politi
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