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The unpredictability in chaotic scattering problems is a fundamental topic in physics that has been studied either in purely conservative systems or in the presence of weak perturbations. In many systems noise plays an important role in the…

Chaotic Dynamics · Physics 2021-07-14 Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

We investigate driven magnetic flux lines in layered type-II superconductors subject to various configurations of strong point or columnar pinning centers by means of a three-dimensional elastic line model and Metropolis Monte Carlo…

Superconductivity · Physics 2010-01-05 T. Klongcheongsan , T. J. Bullard , U. C. Tauber

We show that the non-equilibrium steady state (NESS) of the free lattice Fermion model far from equilibrium is macroscopically unstable. The problem is translated to that of the spectral analysis of {\it Liouville Operator}. We use the…

Mathematical Physics · Physics 2009-11-10 Yoshiko Ogata

We report the observation of stationary turbulence in antiferromagnetic spin-1 Bose-Einstein condensates driven by a radio-frequency magnetic field. The magnetic driving injects energy into the system by spin rotation and the energy is…

Quantum Gases · Physics 2023-08-03 Deokhwa Hong , Junghoon Lee , Jongmin Kim , Jong Heum Jung , Kyuhwan Lee , Seji Kang , Yong-il Shin

From a logic point of view this is the third in the series to solve the problem of absence of detailed balance. This paper will be denoted as SDS III. The existence of a dynamical potential with both local and global meanings in general…

Quantitative Methods · Quantitative Biology 2016-09-08 P. Ao

A new class of random partial differential equations of parabolic type is considered, where the stochastic term consists of an irregular noisy drift, not necessarily Gaussian, for which a suitable interpretation is provided. After freezing…

Probability · Mathematics 2007-12-04 Francesco Russo , Gerald Trutnau

We study three different experiments that involve dry friction and periodic driving, and which employ both single and many-particle systems. These experimental set-ups, besides providing a playground for investigation of frictional effects,…

Statistical Mechanics · Physics 2022-04-29 Soumen Das , Shankar Ghosh , Shamik Gupta

In equilibrium, the effect of a spatially localised perturbation is typically confined around the perturbed region. Quite contrary to this, in a non-equilibrium stationary state often the entire system is affected. This appears to be a…

Statistical Mechanics · Physics 2015-05-07 Tridib Sadhu , Satya N. Majumdar , David Mukamel

Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties. A coupled…

Dynamical Systems · Mathematics 2009-01-19 Xianming Liu , Jinqiao Duan , Jicheng Liu , Peter E. Kloeden

We investigate the non-equilibrium dynamics and steady-state properties of a driven-dissipative Bose-Hubbard chain using a self-consistent Gutzwiller mean-field (GMF) approach. By employing a robust Picard iteration scheme, we solve the…

Strongly Correlated Electrons · Physics 2026-04-20 Chen-Huan Wu

In this minireview we will discuss recent progress in the analytical study of current-carrying non-equilibrium steady states (NESS) that can be constructed in terms of a matrix product ansatz. We will focus on one-dimensional exactly…

Statistical Mechanics · Physics 2018-10-17 Berislav Buča , Tomaž Prosen

It is well-known that the fundamental diagram in a realistic traffic system is featured by capacity drop. From a mesoscopic approach, we demonstrate that such a phenomenon is linked to the unique properties of stochastic noise, which, when…

Applications · Statistics 2025-03-21 Mariana Pereira de Melo , Leon Alexander Valencia , Wei-Liang Qian

In this work, we study the driven-dissipative dynamics of a coherently-driven spin ensemble with a squeezed, superradiant decay. This decay consists of a sum of both raising and lowering collective spin operators with a tunable weight. The…

A stochastic version of the Noether Theorem is derived for systems under the action of external random forces. The concept of moment generating functional is employed to describe the symmetry of the stochastic forces. The theorem is applied…

Statistical Mechanics · Physics 2018-07-04 Alfredo Gonzalez Lezcano , Alejandro Cabo Montes de Oca

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

We investigate the dynamics of dissipative systems with stochastic forcing and focus in particular on mean-square stability. First we show, under a natural condition on the drift and diffusion, that the stochastic system is mean-square…

Probability · Mathematics 2026-05-01 C. Kelly , G. J. Lord , M. Ptashnyk , S. Sonner

We consider both the effect of particle inertia on stochastic Stokes' drift, and also a related process which could be considered as a crude model of stochastic Stokes' drift driven by an eddy diffusivity. In the latter, the stochastic…

Probability · Mathematics 2009-11-11 Kalvis M. Jansons

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

We consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium…

Statistical Mechanics · Physics 2009-04-01 A. Baule , E. G. D. Cohen

The requirements pertaining to the reliability and accuracy of micro-electromechanical gyroscopic sensors are increasing,as systems for vehicle localization emerge as an enabling factor for autonomous driving. Since micro-electromechanical…

Applied Physics · Physics 2020-02-07 Ulrike Nabholz , Michael Curcic , Jan E. Mehner , Peter Degenfeld-Schonburg