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We present a simple model of an overdamped particle moving on a two dimensional symmetric periodic substrate with a dc drive in the longitudinal direction and additional ac drives in both the longitudinal and transverse directions. For…

Statistical Mechanics · Physics 2009-11-07 C. Reichhardt , C. J. Olson Reichhardt

We study the dynamics of a zero-temperature particle interacting linearly with a bath of hot Brownian particles. Starting with the most general model of a linearly-coupled bath, we eliminate the bath degrees of freedom exactly to map the…

Statistical Mechanics · Physics 2026-03-24 Amer Al-Hiyasat , Sunghan Ro , Julien Tailleur

In this paper we present a convex formulation of the Model Predictive Control (MPC) optimisation for energy management in hybrid electric vehicles, and an Alternating Direction Method of Multipliers (ADMM) algorithm for its solution. We…

Optimization and Control · Mathematics 2019-01-24 Sebastian East , Mark Cannon

We investigate spin effects in transport across fully interacting, finite size graphene armchair nanoribbons (ACNs) contacted to collinearly spin-polarized leads. In such systems, the presence of short ranged Coulomb interaction between…

Mesoscale and Nanoscale Physics · Physics 2010-03-29 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

Particle currents flowing against an external driving are a fascinating phenomenon in both single-particle and interacting many-particle systems. Underlying physical mechanisms of such current reversals are not fully understood yet.…

Statistical Mechanics · Physics 2026-03-10 Moritz Wolf , Sören Schweers , Philipp Maass

The inverse problems of particle neutral transport models have many important engineering and medical applications. Safety protocols, quality control procedures, and optical medical solutions can be developed based on inverse transport…

Numerical Analysis · Mathematics 2023-10-24 Nelson Garcia Roman , Pedro Costa dos Santos , Pedro Henrique de Almeida Konzen

We focus on a paradigmatic two-dimensional model of a nanoscale heat engine, - the so-called Brownian gyrator - whose stochastic dynamics is described by a pair of coupled Langevin equations with different temperature noise terms. This…

Statistical Mechanics · Physics 2018-11-07 Sara Cerasoli , Victor Dotsenko , Gleb Oshanin , Lamberto Rondoni

We compare the semiclassical description of NEMS within and beyond the adiabatic approximation. We consider a NEMS model which contains a single phonon (oscillator) mode linearly coupled to an electronic few-level system in contact with…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 A. Metelmann , T. Brandes

The study of time-dependent, many-body transport phenomena is increasingly within reach of ultra-cold atom experiments. We show that the introduction of spatially inhomogeneous interactions, e.g., generated by optically-controlled…

Quantum Gases · Physics 2013-06-27 Chih-Chun Chien , Daniel Gruss , Massimiliano Di Ventra , Michael Zwolak

A classical wave-particle entity in the form of a millimetric walking droplet can emerge on the free surface of a vertically vibrating liquid bath. Such wave-particle entities have been shown to exhibit hydrodynamic analogs of quantum…

Chaotic Dynamics · Physics 2022-01-19 Rahil N. Valani

Anisotropic magnetoresistance (AMR) arises from symmetry lowering of the conductivity tensor induced by magnetic order. In simple ferromagnets, AMR is a relativistic effect, relying on spin-orbit interaction (SOC). Here, we demonstrate that…

Materials Science · Physics 2025-07-17 Philipp Ritzinger , Ondřej Sedláček , Jakub Železný , Karel Výborný

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

How the transport properties of an extended system is affected by coupling to active reservoirs is a significant, yet virtually unexplored question. Here we address this issue in the context of energy transport between two active reservoirs…

Statistical Mechanics · Physics 2022-09-23 Ion Santra , Urna Basu

We report the discovery of phenomena consistent with bad-metal relaxation dynamics in the metallic regime of an optical-lattice Hubbard model. The transport lifetime induced by inter-particle scattering for a mass current of atoms excited…

Quantum Gases · Physics 2018-08-29 Wenchao Xu , William McGehee , William Morong , Brian DeMarco

A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that active bath transfer to the tracer, thus the model…

Statistical Mechanics · Physics 2025-07-24 Francisco J. Sevilla , Adriano Valdés-Gómez , Alexis Torres-Carbajal

A graphene antidot lattice, created by a regular perforation of a graphene sheet, can exhibit a considerable band gap required by many electronics devices. However, deviations from perfect periodicity are always present in real experimental…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Zheyong Fan , Andreas Uppstu , Ari Harju

A prerequisite for isolating diseased cells requires a mechanism for effective mass-based separation. This objective, however, is generally rather challenging because typically no valid correlation exists between the size of the particles…

Statistical Mechanics · Physics 2019-03-27 Aleksandra Słapik , Jerzy Łuczka , Peter Hänggi , Jakub Spiechowicz

Using the micro-canonical picture of transport -- a framework ideally suited to describe the dynamics of closed quantum systems such as ultra-cold atom experiments -- we show that the exact dynamics of non-interacting fermions and bosons…

Quantum Gases · Physics 2012-04-11 Chih-Chun Chien , Michael Zwolak , Massimiliano Di Ventra

We analyze numerically and analytically the non linear transport properties of a drift-diffusion equation in presence of a magnetic field and of a disorder potential. For a wide range of parameters this model exhibits a plateau where the…

Mesoscale and Nanoscale Physics · Physics 2011-10-11 A. D. Chepelianskii

We consider a single Brownian particle in a spatially symmetric, periodic system far from thermal equilibrium. This setup can be readily realized experimentally. Upon application of an external static force F, the average particle velocity…

Statistical Mechanics · Physics 2009-11-07 Ralf Eichhorn , Peter Reimann , Peter Hänggi
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