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The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments,…

量子物理 · 物理学 2010-01-28 J. Paavola , J. Piilo , K. -A. Suominen , S. Maniscalco

We study the statistical properties of the variation of the kinetic energy of a spherical Brownian particle that freely moves in an incompressible fluid at constant temperature. Based on the underdamped version of the generalized Langevin…

统计力学 · 物理学 2024-12-10 Juan Ruben Gomez-Solano

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with…

统计力学 · 物理学 2009-11-13 Vlad Elgart , Michel Pleimling

The problem of mass diffusion in layered systems has relevance to applications in different scientific disciplines, e.g., chemistry, material science, soil science, and biomedical engineering. The mathematical challenge in these type of…

统计力学 · 物理学 2020-10-28 Oded Farago

We employ an appropriate perturbative scheme in the large viscous regime to study oscillating states in driven Langevin systems. We explicitly determine oscillating state distribution of under-damped Brownian particle subjected to thermal,…

统计力学 · 物理学 2022-12-28 Shakul Awasthi , Sreedhar B. Dutta

After summarizing basic features of self-organization such as entropy export, feedbacks and nonlinear dynamics, we discuss several examples in biology. The main part of the paper is devoted to a model of active Brownian motion that allows a…

统计力学 · 物理学 2007-05-23 Werner Ebeling , Frank Schweitzer

Given nonstationary data from molecular dynamics simulations, a Markovian Langevin model is constructed that aims to reproduce the time evolution of the underlying process. While at equilibrium the free energy landscape is sampled,…

计算物理 · 物理学 2021-07-20 Benjamin Lickert , Steffen Wolf , Gerhard Stock

In this note, we demonstrated for the first time that one can derive an expression for the effective diffusion coefficient, equal to the Lifson-Jackson formula, using a subsequent homogenization of the 1D reaction-diffusion-advection…

化学物理 · 物理学 2016-08-03 Steffen Martens

By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. On the basis of the generalized Langevin equation, we present an analytic framework for active…

软凝聚态物质 · 物理学 2022-04-13 Alexander R. Sprenger , Christian Bair , Hartmut Löwen

The circular Dyson Brownian motion model refers to the stochastic dynamics of the log-gas on a circle. It also specifies the eigenvalues of certain parameter-dependent ensembles of unitary random matrices. This model is considered with the…

统计力学 · 物理学 2016-08-31 P. J. Forrester , T. Nagao

We study the diffusive dynamics of a Brownian particle in proximity of a flat surface under non-equilibrium conditions, which are created by an anisotropic thermal environment with different temperatures being active along distinct spatial…

统计力学 · 物理学 2017-09-13 Stefano Bo , Ralf Eichhorn

We generalize the Green-Kubo approach, previously applied to bulk systems of spherically symmetric active particles [J. Chem. Phys. 145, 161101 (2016)], to include spatially inhomogeneous activity. The method is applied to predict the…

软凝聚态物质 · 物理学 2017-09-20 Abhinav Sharma , Joseph Brader

Solvent plays an important role in the relative motion of nanoscopic bodies, and the study of such phenomena can help elucidate the mechanism of hydrophobic assembly, as well as the influence of solvent-mediated effects on in vivo motion in…

统计力学 · 物理学 2011-12-12 Joseph A. Morrone , Jingyuan Li , B. J. Berne

The collective behavior of thermally active structures offers clues on the emergent degrees of freedom and the physical mechanisms that determine the low energy state of a variety of systems. Here, the thermally active dynamics of magnetic…

介观与纳米尺度物理 · 物理学 2021-01-01 Paula Mellado

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

统计力学 · 物理学 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

A mesoscopic multi-particle collision model for fluid dynamics is generalized to incorporate the chemical reactions among species that may diffuse at different rates. This generalization provides a means to simulate reaction-diffusion…

化学物理 · 物理学 2016-09-08 K. Tucci , R. Kapral

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

软凝聚态物质 · 物理学 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

This paper presents our study of the asymptotic behavior of a two-component system of Brownian motions undergoing certain singular interactions. In particular, the system is a combination of two different types of particles and the…

概率论 · 数学 2017-03-07 Insuk Seo

We study the dynamics of a dissipative two-level, system driven by a monochromatic ac field, starting from the usual spin-boson Hamiltonian. The quantum Langevin equations for the spin variables are obtained. The amplitude of the coherent…

统计力学 · 物理学 2009-10-30 T. P. Pareek , Mangal C. Mahato , A. M. Jayannavar

Active colloidal particles that are propelled by a self-diffusiophoretic mechanism are often described by Langevin equations that are either postulated on physical grounds or derived using the methods of fluctuating hydrodynamics. While…

统计力学 · 物理学 2020-10-28 Bryan Robertson , Jeremy Schofield , Pierre Gaspard , Raymond Kapral
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