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We perform Brownian dynamics simulations for studying the self-diffusion in two-dimensional (2D) dusty plasma liquids, in terms of both mean-square displacement and velocity autocorrelation function (VAF). Super-diffusion of charged dust…

Plasma Physics · Physics 2009-02-25 Lu-Jing Hou , Alexander Piel , P. K. Shukla

The Van Hove self correlation function of water confined in a silica pore is calculated from Molecular Dynamics trajectories upon supercooling. At long time in the $\alpha$ relaxation region we found that the behaviour of the real space…

Statistical Mechanics · Physics 2009-11-10 P. Gallo , M. Rovere

We study the dynamics of overdamped Brownian particles interacting through soft pairwise potentials on a comb-like structure. Within the linearized Dean-Kawasaki framework, we characterize the particle density fluctuations by computing…

Statistical Mechanics · Physics 2025-05-21 Davide Venturelli , Pierre Illien , Aurélien Grabsch , Olivier Bénichou

Self-propelled particles possessing permanent magnetic dipole moments occur naturally in magnetotactic bacteria and in man-made systems like active colloids or micro-robots. Yet, the interplay between self-propulsion and anisotropic…

Soft Condensed Matter · Physics 2024-04-29 Maria Kelidou , Mohammad Fazelzadeh , Baptiste Parage , Sara Jabbari Farouji

Correlations, highly important in low--dimensional systems, are known to decrease the plasmon dispersion of two-dimensional electron liquids. Here we calculate the plasmon properties, applying the 'Dynamic Many-Body Theory', accounting for…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Jürgen T. Drachta , Dominik Kreil , Raphael Hobbiger , Helga M. Böhm

We study the pair correlation of Active Brownian Particles at low density using numerical simulations and analytical calculations. We observe a winged pair correlation: while particles accumulate in front of an active particle as expected,…

Statistical Mechanics · Physics 2021-01-20 Alexis Poncet , Olivier Bénichou , Vincent Démery , Daiki Nishiguchi

Liquids in equilibrium exhibit two types of disorder, simple and complex. Typical simple disorder liquid are liquid nitrogen, or weakly polar liquids. Complex liquids concern those who can form long lived local assemblies, and cover a large…

Chemical Physics · Physics 2023-06-02 Bernarda Lovrinčević , Martina Požar , Ivo Jukić , David Perera , Aurélien Perera

We employ Reactive Dynamical Density Functional Theory (R-DDFT) and Reactive Brownian Dynamics (R-BD) simulations to investigate the dynamics of a suspension of active soft Gaussian colloids with binary interaction switching, i.e., a…

Soft Condensed Matter · Physics 2022-07-29 Michael Bley , Pablo I. Hurtado , Joachim Dzubiella , Arturo Moncho-Jordá

We present the results of a large scale molecular dynamics computer simulation study in which we investigate whether a supercooled Lennard-Jones liquid exhibits dynamical heterogeneities. We evaluate the non-Gaussian parameter for the self…

Disordered Systems and Neural Networks · Physics 2009-10-30 Walter Kob , Claudio Donati , Steven J. Plimpton , Peter H. Poole , Sharon C. Glotzer

Motivated by the simple models of molecular motor obeying a linear force-velocity relation, we have studied the stochastic dynamics of a Brownian particle in the presence of a linear velocity dependent force, $f_s(1-\frac{v}{v_0})$ where…

Statistical Mechanics · Physics 2021-08-19 Arsha N , Shabina S , Mamata Sahoo

For classical Brownian systems driven out of equilibrium we derive inhomogeneous two-time correlation functions from functional differentiation of the one-body density and current with respect to external fields. In order to allow for…

Soft Condensed Matter · Physics 2014-01-21 Joseph M. Brader , Matthias Schmidt

Recently, many interesting features of the hydrodynamically coupled motions of the Brownian particles in a viscous fluid have been reported which are impossible for the uncoupled motions of the similar particles. However, it is expected…

Soft Condensed Matter · Physics 2018-05-17 Shuvojit Paul

In this article, we present molecular dynamics study of the velocity autocorrelation function (VACF) of a Brownian particle. We compare the results of the simulation with the exact analytic predictions for a compressible fluid from [6] and…

Soft Condensed Matter · Physics 2012-04-23 D. Chakraborty

We present a graphical analysis of the adiabatic connections underlying double-hybrid density-functional methods that employ second-order perturbation theory. Approximate adiabatic connection formulae relevant to the construction of these…

Chemical Physics · Physics 2013-06-26 Yann Cornaton , Odile Franck , Andrew M. Teale , Emmanuel Fromager

We present the exact adiabatic theory for the dynamics of the inhomogeneous density distribution of a classical fluid. Erroneous particle number fluctuations of dynamical density functional theory are absent, both for canonical and grand…

Soft Condensed Matter · Physics 2016-05-25 Daniel de las Heras , Joseph M. Brader , Andrea Fortini , Matthias Schmidt

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…

Soft Condensed Matter · Physics 2022-06-10 Kirit N. Lad , Margi K. Patel , Arun Pratap

At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and…

Statistical Mechanics · Physics 2021-01-26 Thomas Speck

We derive a mode-coupling theory (MCT) to describe the dynamics of tracer particles in dense systems of active Brownian particles (ABPs) in two spatial dimensions. The ABP undergo translational and rotational Brownian dynamics, and are…

Soft Condensed Matter · Physics 2021-11-03 Julian Reichert , Suvendu Mandal , Thomas Voigtmann

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We extend the one-body phase function upper bound on the superfluid fraction in a periodic solid (a spatially ordered supersolid) to include two-body phase correlations. The one-body current density is no longer proportional to the gradient…

Statistical Mechanics · Physics 2009-11-11 Wayne M. Saslow , Davide E. Galli , Luciano Reatto