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Timesteppers constitute a powerful tool in modern computational science and engineering. Although they are typically used to advance the system forward in time, they can also be viewed as nonlinear mappings that implicitly encode steady…

Numerical Analysis · Mathematics 2026-01-09 Hannes Vandecasteele , Nicholas Karris , Alexander Cloninger , Ioannis G. Kevrekidis

Nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory [M. Bier and R. van Roij, Phys.…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

We study the classical motion of a particle subject to a stochastic force. We then present a perturbative schema for the associated Fokker-Planck equation where, in the limit of a vanishingly small noise source, a consistent dynamical model…

Quantum Physics · Physics 2007-05-23 M. S. Torres , J. M. A. Figueiredo

The quantum mechanics is considered to be a partial case of the stochastic system dynamics. It is shown that the wave function describes the state of statistically averaged system $<\mathcal{S}_{st}>$, but not that of the individual…

General Physics · Physics 2007-05-23 Yuri A. Rylov

We consider a stochastic fluid queue served by a constant rate server and driven by a process which is the local time of a certain Markov process. Such a stochastic system can be used as a model in a priority service system, especially when…

Probability · Mathematics 2007-09-11 Takis Konstantopoulos , Andreas Kyprianou , Marina Sirvio , Paavo Salminen

We clarify the role of non-adiabatic effects in a quantum pumping for a spin-boson system. When we sinusoidally control the temperatures of two reservoirs with \pi/2 phase difference, we find that the pumping current strongly depends on the…

Statistical Mechanics · Physics 2014-11-24 Kota L. Watanabe , Hisao Hayakawa

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

Statistical Mechanics · Physics 2015-12-03 Ian J. Ford

In molecular dynamics simulations, nanochannel flows are usually driven by a constant force, that aims to represent a pressure difference between inlet and outlet, and periodic boundary conditions are applied in the streamwise direction…

Fluid Dynamics · Physics 2018-01-17 Vicente Bitrián , Javier Principe

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

Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain…

Statistical Mechanics · Physics 2019-11-15 Patrick Pietzonka , Étienne Fodor , Christoph Lohrmann , Michael E. Cates , Udo Seifert

Recently a new explanation for the quantized current of the surface acoustic wave (SAW)-driven single electron pumps was suggested [1]. In the SAW-driven pumps the electrons are transported by the SAW along a one-dimensional semiconductor…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. I. Talyanskii

We consider particles that are conditioned to initial and final states. The trajectory of these particles is uniquely shaped by the intricate interplay of internal and external sources of randomness. The internal randomness is aptly…

Optimization and Control · Mathematics 2023-09-13 Daniel Owusu Adu , Yongxin Chen

In a quantum charge pump, the periodic variation of two parameters that affect the phase of the electronic wavefunction causes the flow of a direct current. The operating mechanism of a quantum pump is based on quantum interference, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Saar Rahav , Piet W. Brouwer

Many body dissipative particle dynamics (MDPD) is a particle-based simulation method in which the interaction potential is a sum of self energies depending on locally-sampled density variables. This functional form gives rise to…

Statistical Mechanics · Physics 2015-06-15 Patrick B. Warren

Thouless pumping is an emblematic manifestation of topology in physics, referring to the ability to induce a quantized transport of charge across a system by simply varying one of its parameters periodically in time. The original concept of…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 S. Ravets , N. Pernet , N. Mostaan , N. Goldman , J. Bloch

We develop a unified treatment of pumping and nonequilibrium thermodynamics. We show that the pumping current generated through an adiabatic mechanical operation in equilibrium can be expressed in terms of the stationary distribution of the…

Statistical Mechanics · Physics 2014-08-22 Naoko Nakagawa

Thouless pumping enables the transport of particles in a one-dimensional periodic potential if the potential is slowly and periodically modulated in time. The change in the position of particles after each modulation period is quantized and…

Quantum Gases · Physics 2024-12-23 Ali Emami Kopaei , Krzysztof Giergiel , Krzysztof Sacha

We develop a stochastic parametrization, based on a `simple' deterministic model for the dynamics of steady longshore currents, that produces ensembles that are statistically consistent with field observations of these currents. Unlike…

Data Analysis, Statistics and Probability · Physics 2016-12-06 Juan M. Restrepo , Shankar C. Venkataramani

In a recent Letter, Avron et. al (math-ph/0105011) introduced a notion of optimal quantum pumps. These are adiabatic quantum pumps which work without dissipation. In particular, they produce neither entropy nor noise. In the present Comment…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Alekseev

The stochastic driving force exerted by a single molecular motor (e.g., a kinesin, or myosin) moving on a periodic molecular track (microtubule, actin filament, etc.) is discussed from a general viewpoint open to experimental test. An…

Statistical Mechanics · Physics 2009-10-31 Michael E. Fisher , Anatoly B. Kolomeisky