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We present a method to study rare nonadiabatic dynamics in open quantum systems using transition path sampling and quantum jump trajectories. As with applications of transition path sampling to classical dynamics, the method does not rely…

Statistical Mechanics · Physics 2021-12-08 Addison J. Schile , David T. Limmer

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…

Statistical Mechanics · Physics 2019-08-06 Richard Kleeman

Recent years have seen tremendous progress in the theoretical understanding of quantum systems driven dissipatively by coupling them to different baths at their edges. This was possible because of the concurrent advances in the models used…

Quantum Physics · Physics 2022-12-15 Gabriel T. Landi , Dario Poletti , Gernot Schaller

A damped and driven collective spin system is analyzed by using quantum state diffusion. This approach allows for a mostly analytical treatment of the investigated non-equilibrium quantum many body dynamics, which features a phase…

Quantum Physics · Physics 2019-07-03 Valentin Link , Kimmo Luoma , Walter T. Strunz

We report the complete statistical treatment of a system of particles interacting via Newtonian forces in continuous boundary-driven flow, far from equilibrium. By numerically time-stepping the force-balance equations of a model fluid we…

Statistical Mechanics · Physics 2015-05-14 R. M. L. Evans , R. A. Simha , A. Baule , P. D. Olmsted

Many biological, chemical, and physical systems are underpinned by stochastic transitions between equilibrium states in a potential energy. Here, we consider such transitions in a minimal model with two possible competing pathways, both…

Statistical Mechanics · Physics 2025-12-17 Gulzar Ahmad , Sergey Saveliev , Steven P Fitzgerald , Marco G Mazza , Andrew J Archer

We investigate path-wise observables in experiments on driven colloids in a periodic light field to dissect selected intricate transport features, kinetics, and transition-path time statistics out of thermodynamic equilibrium. These…

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and…

Statistical Mechanics · Physics 2017-11-22 Robert L. Jack , Marcus Kaiser , Johannes Zimmer

Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms in so-called full-counting experiments that measure transient and steady state non-equilibrium transport…

Quantum Physics · Physics 2016-12-28 Javier Cerrillo , Maximilian Buser , Tobias Brandes

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

Statistical Mechanics · Physics 2016-04-12 Pierre Gaspard

In contrast to equilibrium systems, non-equilibrium steady states depend explicitly on the underlying dynamics. Using Monte Carlo simulations with Metropolis, Glauber and heat bath rates, we illustrate this expectation for an Ising lattice…

Statistical Mechanics · Physics 2009-11-10 Wooseop Kwak , D. P. Landau , B. Schmittmann

A number of properties of systems in a nonequilibrium steady state (NESS) are investigated by a generalization of the Onsager-Machlup (OM) path integral approach for systems in an equilibrium state (ES). A thermodynamics formally identical…

Statistical Mechanics · Physics 2008-07-24 E. G. D. Cohen

We study the quasi-stationary evolution of systems where an energetic confinement is unable to completely retain their constituents. It is performed an extensive numerical study of a gas whose dynamics is driven by binary encounters and its…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , H. Mosquera Cuesta , F. Guzman

The modern theory of rare events is grounded in near equilibrium ideas, however many systems of modern interest are sufficiently far from equilibrium that traditional approaches do not apply. Using the recently developed variational path…

Chemical Physics · Physics 2025-02-14 Aditya N. Singh , David T. Limmer

Transitions between nonequilibrium steady states obey a generalized Clausius inequality, which becomes an equality in the quasistatic limit. For slow but finite transitions, we show that the behavior of the system is described by a response…

Statistical Mechanics · Physics 2016-06-20 Dibyendu Mandal , Christopher Jarzynski

This contribution presents a derivation of the steady-state distribution of velocities and distances of driven particles on a onedimensional periodic ring. We will compare two different situations: (i) symmetrical interaction forces…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Martin Treiber , Dirk Helbing

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.…

Statistical Mechanics · Physics 2020-03-19 V. V. Ryazanov

We critically revisit the evidence for the existence of quasistationary states in the globally coupled XY (or Hamiltonian mean-field) model. A slow-relaxation regime at long times is clearly revealed by numerical realizations of the model,…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette , Marcelo A. Montemurro

Non-equilibrium steady states are subject to intense investigations but still poorly understood. For instance, the derivation of Fourier law in Hamiltonian systems is a problem that still poses several obstacles. In order to investigate…

Probability · Mathematics 2014-10-15 Chiara Franceschini , Cristian Giardina

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,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet