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Formation of the nonequilibrium subsystem in dynamical processes during defect generation is simulated by means of molecular dynamics. A particular process of dissipation of the low-frequency acoustic emission into high-frequency…

Computational Physics · Physics 2009-12-11 Leonid S. Metlov

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

When particles/molecules diffuse in systems that contain obstacles, the steady-state regime (during which the mean-square displacement scales linearly with time, $\left< r^2 \right> \sim t$) is preceded by a transient regime. It is common…

Biological Physics · Physics 2021-08-12 Nicholas Ilow , Gary W. Slater

Periodically driven thermodynamic systems support stable non-equilibrium oscillating states with properties drastically different from equilibrium. They exhibit even more exotic features for low viscous drives, which is a regime that is…

Statistical Mechanics · Physics 2024-02-27 Shakul Awasthi , Sreedhar B. Dutta

Entropy production plays a fundamental role in the study of non-equilibrium systems by offering a quantitative handle on the degree of time-reversal symmetry breaking. It depends crucially on the degree of freedom considered as well as on…

Statistical Mechanics · Physics 2022-05-04 Luca Cocconi , Guillaume Salbreux , Gunnar Pruessner

The anomalous dynamical evolution and the crossing of nonadiabatic energy levels are investigated for exactly solvable time-dependent quantum systems through a reverse-engineering scheme. By exploiting a typical driven model, we elucidate…

Quantum Physics · Physics 2020-01-08 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed…

Statistical Mechanics · Physics 2017-10-05 Tobias Grafke , Eric Vanden-Eijnden

A classical particle system coupled with a thermostat driven by an external constant force reaches its steady state when the ensemble-averaged drift velocity does not vary with time. The statistical mechanics of such a system is derived…

Statistical Mechanics · Physics 2020-12-02 Jie Yao , Yanting Wang

We present a numerical study of a two-lane version of the stochastic non-equilibrium model known as the totally asymmetric simple exclusion process. For such a system with open boundaries, and suitably chosen values of externally-imposed…

Statistical Mechanics · Physics 2019-07-31 S. L. A. de Queiroz , R. B. Stinchcombe

We consider the characterization of the nonequilibrium stationary state of a randomly-driven granular gas in terms of an entropy-production based variational formulation. Enforcing spatial homogeneity, we first consider the temporal…

Statistical Mechanics · Physics 2007-05-23 Ioana Bena , Francois Coppex , Michel Droz , Paolo Visco , Emmanuel Trizac , Frederic van Wijland

The out-of-equilibrium dynamics of many body systems has recently received a burst of interest, also due to experimental implementations. The dynamics of both observables, such as magnetization and susceptibilities, and quantum information…

Quantum Physics · Physics 2019-11-12 Tony J. G. Apollaro , Salvatore Lorenzo

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,…

Analysis of PDEs · Mathematics 2017-09-15 Nicolas Seguin

There exist some boundary-driven open systems with diffusive dynamics whose particle current fluctuations exhibit universal features that belong to the Edwards-Wilkinson universality class. We achieve this result by establishing a mapping,…

Statistical Mechanics · Physics 2011-11-29 Alberto Imparato , Vivien Lecomte , Frédéric Van Wijland

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

Statistical Mechanics · Physics 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

Nonequilibrium phase transitions can be typified in a similar way to equilibrium systems, for instance, by the use of the order parameter. However, this characterization hides the irreversible character of the dynamics as well as its…

Statistical Mechanics · Physics 2019-07-10 C. E. Fernández Noa , Pedro E. Harunari , M. J. de Oliveira , C. E. Fiore

Static disorder in a 3D crystal degrades the ideal ballistic dynamics until it produces a localized regime. This Metal-Insulator Transition is often preceded by coherent diffusion. By studying three paradigmatic 1D models, namely the…

The quasi-stationary nonequilibrium distribution function of an independent electron gas interacting with a medium, which is at local thermal equilibrium, can be obtained by entropy production rate minimization, subject to constraints of…

Statistical Mechanics · Physics 2010-05-18 Thomas Christen

In modeling nonequilibrium systems one usually starts with a definition of the microscopic dynamics, e.g., in terms of transition rates, and then derives the resulting macroscopic behavior. We address the inverse question for a class of…

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

We have studied the entropy-driven mechanism leading to stationary patterns formation in stochastic systems with local dynamics and non-Fickian diffusion. We have shown that a multiplicative noise fulfilling a fluctuation-dissipation…

Statistical Mechanics · Physics 2008-06-20 D. O. Kharchenko , S. V. Kokhan , A. V. Dvornichenko

Understanding nonequilibrium systems and the consequences of irreversibility for the system's behavior as compared to the equilibrium case, is a fundamental question in statistical physics. Here, we investigate two types of nonequilbrium…

Statistical Mechanics · Physics 2020-10-26 Thomas Martynec , Sabine H. L. Klapp , Sarah A. M. Loos
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