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The drift diffusion model (DDM) is a model of sequential sampling with diffusion (Brownian) signals, where the decision maker accumulates evidence until the process hits a stopping boundary, and then stops and chooses the alternative that…

Econometrics · Economics 2022-10-12 Drew Fudenberg , Whitney K. Newey , Philipp Strack , Tomasz Strzalecki

The transport of interacting Brownian particles in a periodic asymmetric (ratchet) substrate is studied numerically. In a zero-temperature regime, the system behaves as a reversible step motor, undergoing multiple sign reversals of the…

Statistical Mechanics · Physics 2008-12-31 Rogério M. da Silva , Clécio C. de Souza Silva , Sérgio Coutinho

We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to…

Statistical Mechanics · Physics 2014-09-25 Anna Maraga , Pietro Smacchia , Michele Fabrizio , Alessandro Silva

Motivated by recent work [D. Cubero et al., Phys. Rev. E 82, 041116 (2010)], we examine the mechanisms which determine current reversals in rocking ratchets as observed by varying the frequency of the drive. We found that a class of these…

Statistical Mechanics · Physics 2011-12-06 A. Wickenbrock , D. Cubero , N. A. Abdul Wahab , P. Phoonthong , F. Renzoni

The quantum adiabatic theorem is a fundamental result in quantum mechanics, with a multitude of applications, both theoretical and practical. Here, we investigate the dynamics of adiabatic processes for quantum many-body systems %in detail…

Quantum Physics · Physics 2025-08-15 Vibhu Mishra , Salvatore Manmana , Stefan Kehrein

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

The role of gravity in human motor control is at the same time obvious and difficult to isolate. It can be assessed by performing experiments in variable gravity. We propose that adiabatic invariant theory may be used to reveal…

Classical Physics · Physics 2021-08-11 N. Boulanger , F. Buisseret , V. Dehouck , F. Dierick , O. White

We study the equations of overdamped motion of an inextensible triod with three fixed ends and a free junction under the action of gravity. The problem can be expressed as a system of PDE that involves unknown Lagrange multipliers and…

Analysis of PDEs · Mathematics 2022-09-26 Ayk Telciyan , Dmitry Vorotnikov

Quantum Brownian motion in ratchet potentials is investigated by means of an approach based on a duality relation. This relation links the long-time dynamics in a tilted ratchet potential in the presence of dissipation with the one in a…

Statistical Mechanics · Physics 2007-06-13 J. Peguiron , M. Grifoni

We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases…

Soft Condensed Matter · Physics 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

At low temperatures and strong friction the time evolution of the density distribution in position follows a quantum Smoluchowski equation. Recently, also higher-order contributions of quantum fluctuations to drift and diffusion…

Statistical Mechanics · Physics 2015-03-17 Stefan A. Maier , Joachim Ankerhold

We study the nonequilibrium stationary state of a one-dimensional inertial run-and-tumble particle (IRTP) trapped in a harmonic potential. We find that the presence of inertia leads to two distinct dynamical scenarios, namely, overdamped…

Statistical Mechanics · Physics 2025-05-21 Debraj Dutta , Anupam Kundu , Sanjib Sabhapandit , Urna Basu

Mobile microscopic bodies, such as motile cells, can be modelled phenomenologically as ``active particles'' which can move against external forces by depleting an internal energy depot. The microscopic mechanisms underlying such ``active''…

Statistical Mechanics · Physics 2024-02-01 Diego Marcel Fieguth

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

Quantum Physics · Physics 2024-10-24 Paul Manuel Schindler , Marin Bukov

We present a combined experimental and theoretical study describing the dynamical regimes displayed by a paramagnetic colloidal particle externally driven above a stripe-patterned magnetic garnet film. A circularly polarized rotating…

Statistical Mechanics · Physics 2013-07-29 Arthur V. Straube , Pietro Tierno

The tertiary instability is believed to be important for governing magnetised plasma turbulence under conditions of strong zonal flow generation, near marginal stability. In this work, we investigate its role for a collisionless strongly…

Plasma Physics · Physics 2021-10-27 A. Hallenbert , G. G. Plunk

Quantum mechanical motion of a particle in a periodic asymmetric potential is studied theoretically at zero temperature. It is shown based on semi-classical approximation that the tunneling probability from one local minimum to the next…

Statistical Mechanics · Physics 2009-10-30 Gen Tatara , Macoto Kikuchi , Satoshi Yukawa , Hiroshi Matsukawa

We study the mobility of an overdamped particle in a periodic potential tilted by a constant force. The mobility exhibits a stochastic resonance in inhomogeneous systems with space dependent friction coefficient. The result indicates that…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal. C. Mahato , A. M. Jayannavar

Using simulations, we examine the average velocity as a function of applied drift force for active matter particles moving through a random obstacle array. We find that for low drift force, there is an initial flow regime where the mobility…

Soft Condensed Matter · Physics 2019-09-13 C. Reichhardt , C. J. O. Reichhardt

The response function of graphene is calculated in the presence of a constant current across the sample. For small drift velocities and finite chemical potential, analytic expressions are obtained and consequences on the plasmonic…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Mohsen Sabbaghi , Hyun-Woo Lee , Tobias Stauber , Kwang Soo Kim