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Previous years researchers began to simulate open quantum system, taking into account the interaction between system and the environment. One approach to deal with this problem is to use the density matrix within the Liouville-von-Neumann…

Quantum Physics · Physics 2025-09-15 Mohammad Attrash , Roi Baer

We investigate the motion of a colloidal particle driven out of equilibrium by an external torque. We use the molecular dynamics simulation that is alternative to the numerical integration approach based on the Langevin equation and is…

Statistical Mechanics · Physics 2017-03-08 Donghwan Yoo , Youngkyun Jung , Chulan Kwon

Stochastic Langevin molecular dynamics for nuclei is derived from the Ehrenfest Hamiltonian system (also called quantum classical molecular dynamics) in a Kac-Zwanzig setting, with the initial data for the electrons stochastically perturbed…

Mathematical Physics · Physics 2011-03-31 Anders Szepessy

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

Electronic friction and Langevin dynamics is a popular mixed quantum-classical method for simulating the nonadiabatic dynamics of molecules interacting with metal surfaces, as it can be computationally more efficient than fully quantum…

Chemical Physics · Physics 2024-06-06 Martin Mäck , Samuel L. Rudge , Michael Thoss

In this work the explicit solution of the electronic plasma diffusion with radiation reaction force, under the action of an exponential decay external electric field is given. The electron dynamics is described by a classical generalized…

We derive and employ a semi-classical Langevin equation obtained from path-integrals to describe the ionic dynamics of a molecular junction in the presence of electrical current. The electronic environment serves as an effective…

Mesoscale and Nanoscale Physics · Physics 2012-07-03 Jing Tao Lü , Mads Brandbyge , Per Hedegård , Tchavdar N. Todorov , Daniel Dundas

Macroscopic parameters as well as precise information on the random force characterizing the Langevin type description of the nuclear fusion process around the Coulomb barrier are extracted from the microscopic dynamics of individual…

Nuclear Theory · Physics 2013-07-04 Kai Wen , Fumihiko Sakata , Zhu-Xia Li , Xi-Zhen Wu , Ying-Xun Zhang , Shan-Gui Zhou

We consider Langevin dynamics associated with a modified kinetic energy vanishing for small momenta. This allows us to freeze slow particles, and hence avoid the re-computation of inter-particle forces, which leads to computational gains.…

Statistical Mechanics · Physics 2016-07-20 Stephane Redon , Gabriel Stoltz , Zofia Trstanova

Based on the classical Langevin equation, we have re-visited the problem of orbital motion of a charged particle in two dimensions for a normal magnetic field crossed with or without an in-plane electric bias. We are led to two interesting…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dibyendu Roy , N. Kumar

The random batch method is advantageous in accelerating force calculations in particle simulations, but it poses a challenge of removing the artificial heating effect in application to the Langevin dynamics. We develop an approach to solve…

Computational Physics · Physics 2024-11-05 Zhenli Xu , Yue Zhao , Qi Zhou

We study the phenomenon of quantum friction in a system consisting of a polarizable atom moving at a constant speed parallel to a metallic plate. The metal is described using a charged hydrodynamic model for the electrons. This model…

Quantum Physics · Physics 2020-12-21 Kunmin Wu , Thomas L. Schmidt , M. Belén Farias

We study heat exchange in temperature-biased metal-molecule-metal molecular junctions by employing the LAMMPS atomic molecular dynamics simulator. Generating the nonequilibrium steady state with Langevin thermostats at the boundaries of the…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Jonathan J. Wang , Matthew Gerry , Dvira Segal

We present an insightful ``derivation'' of the Langevin equation and the fluctuation dissipation theorem in the specific context of a heavier particle moving through an ideal gas of much lighter particles. The Newton's Law of motion…

Statistical Mechanics · Physics 2007-05-23 Rangan Lahiri , Arvind , Anirban Sain

This paper attempts to find a probability distribution for the white noise (rapidly fluctuating unbalanced force) in the Langevin Equation. Unbalanced force is the resultant impulse provided to the brownian particle by the colliding fluid…

Statistical Mechanics · Physics 2023-08-02 Ayanabha De

In this letter we discuss how to add forces to the Langevin equation. We derive the exact generalized Langevin equation for the dynamics of one particle subject to an external force embedded in a system of many interacting particles. The…

Statistical Mechanics · Physics 2023-09-27 Fabian Koch , Jona Erle , Tanja Schilling

We derive an explicit form for the electronic friction as felt by a molecule near a metal surface for the general case that molecule-metal couplings depend on nuclear coordinates. Our work generalizes a previous study by von Oppen et al…

Chemical Physics · Physics 2016-11-23 Wenjie Dou , Joseph E. Subotnik

The present work studies a non-Markovian forced thermal ratchet model on an asymmetric periodic potential. The Brownian dynamics is described by a generalized Langevin equation with an Ornstein-Uhlenbeck-type friction memory kernel. We show…

Statistical Mechanics · Physics 2022-12-14 O. Contreras-Vergara , N. Sánchez-Salas , I. Pérez Castillo , J. I. Jiménez-Aquino

Quantum friction, the electromagnetic fluctuation-induced frictional force decelerating an atom which moves past a macroscopic dielectric body, has so far eluded experimental evidence despite more than three decades of theoretical studies.…

Quantum Physics · Physics 2017-06-28 J. Klatt , M. B. Farias , D. A. R. Dalvit , S. Y. Buhmann

Langevin dynamics has become a popular tool to simulate the Boltzmann equilibrium distribution. When the repartition of the Langevin equation involves the exact realization of the Ornstein-Uhlenbeck noise, in addition to the conventional…

Chemical Physics · Physics 2017-11-15 Dezhang Li , Xu Han , Yichen Chai , Cong Wang , Zifei Chen , Zhijun Zhang , Jian Liu , Jiushu Shao
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