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A recent experiment driving colloids electromagnetically, by B\'erut et al. [2014 Europhys. Lett. 107, 60004], is an ideal paradigm for illustrating a linear response theory for nonequilibrium overdamped systems including hydrodynamic…

统计力学 · 物理学 2016-03-22 Cem Yolcu , Marco Baiesi

We report an approach to obtain effective pair potentials which describe the structure of two-dimensional systems of active Brownian particles. The pair potential is found by an inverse method, which matches the radial distribution function…

The multivariate Ornstein-Uhlenbeck process is used in many branches of science and engineering to describe the regression of a system to its stationary mean. Here we present an $O(N)$ Bayesian method to estimate the drift and diffusion…

统计力学 · 物理学 2018-08-01 Rajesh Singh , Dipanjan Ghosh , R. Adhikari

A microscopic theory of molecular motion in classical monatomic liquids, proposed by Glass and Rice [Phy. Rev. 176, 239 (1968)], is revisited and extended to incorporate the dynamic friction in the Brownian description of the atomic…

软凝聚态物质 · 物理学 2022-06-10 Kirit N. Lad , Margi K. Patel , Arun Pratap

We propose a new method to measure time-dependent linear susceptibilities in molecular simulations, which does not require the use of nonequilibrium simulations, subtraction techniques, or fluctuation-dissipation theorems. The main idea is…

统计力学 · 物理学 2007-06-13 Ludovic Berthier

We consider the solid or hexatic non-equilibrium phases of an interacting two-dimensional system of Active Brownian Particles at high density and investigate numerically and theoretically the properties of the velocity distribution function…

统计力学 · 物理学 2020-09-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

统计力学 · 物理学 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

We investigate the dynamics of an inertial active Ornstein-Uhlenbeck particle suspended in a non-Markovian environment. The particle is additionally subjected to external forces, such as harmonic confinement and a magnetic field. Motivated…

软凝聚态物质 · 物理学 2025-10-15 Sanju S Pillai , M Muhsin , M Sahoo

We consider the steady-state behavior of pairs of active particles having different persistence times and diffusivities. To this purpose we employ the active Ornstein-Uhlenbeck model, where the particles are driven by colored noises with…

软凝聚态物质 · 物理学 2018-01-17 René Wittmann , Joseph M. Brader , Abhinav Sharma , Umberto Marini Bettolo Marconi

We study numerically the influence of density and strain rate on the diffusion and mobility of a single tagged particle in a sheared colloidal suspension. We determine independently the time-dependent velocity autocorrelation functions and,…

软凝聚态物质 · 物理学 2011-07-01 Boris Lander , Udo Seifert , Thomas Speck

Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a…

强关联电子 · 物理学 2010-11-05 Marcin Mierzejewski , Peter Prelovsek

We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in…

An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic…

高能物理 - 理论 · 物理学 2022-10-06 Yanyan Bu , Biye Zhang , Jingbo Zhang

We present the nonequilibrium implementation of the two-particle self-consistent (TPSC) approach, which has been shown to provide a reliable equilibrium description of interacting lattice systems in the weak- and intermediate-correlation…

强关联电子 · 物理学 2022-12-27 Olivier Simard , Philipp Werner

A first-principles approach to describe electron dynamics in open quantum systems driven far from equilibrium via external time-dependent stimuli is introduced. Within this approach, the driven Liouville von Neumann methodology is used to…

介观与纳米尺度物理 · 物理学 2023-05-10 Annabelle Oz , Abraham Nitzan , Oded Hod , Juan E. Peralta

A $d$-dimensional branching diffusion, $Z$, is investigated, where the linear attraction or repulsion between particles is competing with an Ornstein-Uhlenbeck drift, with parameter $b$ (we take $b>0$ for inward O-U and $b<0$ for outward…

概率论 · 数学 2016-10-10 Janos Englander , Liang Zhang

The time evolution of a closed quantum system is connected to its Hamiltonian through Schroedinger's equation. The ability to estimate the Hamiltonian is critical to our understanding of quantum systems, and allows optimization of control.…

We discuss the use of a Langevin equation with a colored (correlated) noise to perform constant-temperature molecular dynamics simulations. Since the equations of motion are linear in nature, it is easy to predict the response of a…

统计力学 · 物理学 2010-01-04 Michele Ceriotti , Giovanni Bussi , Michele Parrinello

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is driven by fluctuating forces which stem from active processes in the system, such as self-propulsion or collisions with other active particles.…

统计力学 · 物理学 2019-04-24 Lennart Dabelow , Stefano Bo , Ralf Eichhorn

The motility of living things and synthetic self-propelled objects is often described using Active Brownian particles. To capture the interaction of these particles with their often complex environment, this model can be augmented with…

统计力学 · 物理学 2024-09-06 Sascha Lambert , Merle Duchene , Stefan Klumpp