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We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

Soft Condensed Matter · Physics 2009-11-13 Grzegorz Szamel

We investigate the statistics of the fluctuations of the energy transfer between an overdamped Brownian particle, whose motion is confined by a stationary harmonic potential, and a surrounding viscoelastic fluid at constant temperature. We…

Statistical Mechanics · Physics 2023-10-19 Farshad Darabi , Brandon R. Ferrer , Juan Ruben Gomez-Solano

Molecular dynamics (MD) simulations are used in biochemistry, physics, and other fields to study the motions, thermodynamic properties, and the interactions between molecules. Computational limitations and the complexity of these problems,…

Numerical Analysis · Mathematics 2018-01-17 F. Grogan , M. Holst , L. Lindblom , R. Amaro

We analyze the friction force exerted on a small probe particle sliding over an atomic-scale surface by means of a Green-Kubo relation and classical Molecular Dynamics simulations. We find that, on the atomic scale, the friction tensor can…

Statistical Mechanics · Physics 2020-06-17 Miru Lee , Richard L. C. Vink , Matthias Krüger

The some dynamic properties of a random heteropolymer in the condensed state are studied in the mode coupling approximation. In agreement with recent report a dynamic friction increasing is predicted for the random heteropolymer with…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Sh. Mamasakhlisov , V. F. Morozov

Accurately predicting friction in sliding interfaces that contain third body wear particles is critical for engineering applications such as sliding movement in pistons, bearings, or metal forming. We present a hierarchical multiscale…

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

Statistical Mechanics · Physics 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

We present the construction of molecular force fields for small molecules (less than 25 atoms) using the recently developed symmetrized gradient-domain machine learning (sGDML) approach [Chmiela et al., Nat. Commun. 9, 3887 (2018); Sci.…

Motions of fluctuating Brownian particles in an incompressible viscous fluid have been studied by coupled simulations of Brownian particles and host fluid. We calculated the velocity autocorrelation functions of Brownian particles and…

Soft Condensed Matter · Physics 2012-11-22 Takuya Iwashita , Yasuya Nakayama , Ryoichi Yamamoto

We study a gas of point particles with hard-core repulsion in one dimension where the particles move freely in-between elastic collisions. We prepare the system with a uniform density on the infinite line. The velocities $\{v_i; i \in…

Statistical Mechanics · Physics 2026-03-12 Aritra Kundu , Abhishek Dhar , Sanjib Sabhapandit

A theory for (1+3)-dimensional relativistic Brownian motion under the influence of external force fields is put forward. Starting out from a set of relativistically covariant, but multiplicative Langevin equations we describe the…

Statistical Mechanics · Physics 2009-11-11 Jörn Dunkel , Peter Hänggi

Based on analytical and numerical calculations we study the dynamics of an overdamped colloidal particle moving in two dimensions under time-delayed, non-linear feedback control. Specifically, the particle is subject to a force derived from…

Soft Condensed Matter · Physics 2025-03-07 Robin A. Kopp , Sabine H. L. Klapp

The interplay between Coulomb friction and random excitations is studied experimentally by means of a rotating probe in contact with a stationary granular gas. The granular material is independently fluidized by a vertical shaker, acting as…

Soft Condensed Matter · Physics 2013-04-26 A. Gnoli , A. Puglisi , H. Touchette

We study a two-dimensional granular system where external driving force is applied to each particle in the system in such a way that the system is driven into a steady state by balancing the energy input and the dissipation due to inelastic…

Statistical Mechanics · Physics 2009-10-30 Gongwen Peng , Takao Ohta

The friction and diffusion coefficients of rigid spherical colloidal particles dissolved in a fluid are determined from velocity and force autocorrelation functions by mesoscale hydrodynamic simulations. Colloids with both slip and no-slip…

Soft Condensed Matter · Physics 2016-03-10 Mario Theers , Elmar Westphal , Gerhard Gompper , Roland G. Winkler

We compute mass density correlations of a one-dimensional gas of hard rods at both microscopic and macroscopic scales. We provide exact analytical calculations of the microscopic correlation. For the correlation at macroscopic scale,, we…

Statistical Mechanics · Physics 2026-01-09 Indranil Mukherjee , Seema Chahal , Anupam Kundu

Molecular dynamics (MD) provides insights into atomic-scale processes by integrating over time the equations that describe the motion of atoms under the action of interatomic forces. Machine learning models have substantially accelerated MD…

Chemical Physics · Physics 2026-01-26 Filippo Bigi , Sanggyu Chong , Agustinus Kristiadi , Michele Ceriotti

Recently, a theoretical framework known as {\it ballistic macroscopic fluctuation theory} has been developed to study large-scale fluctuations and correlations in many-body systems exhibiting ballistic transport. In this paper, we review…

Statistical Mechanics · Physics 2025-10-01 Anupam Kundu

The friction force, friction coefficients and the effects on the dynamics of particles, bodies and systems, are fundamental themes in university physics of the first cycles and also in general physics courses of upper secondary education in…

Physics Education · Physics 2024-10-01 Mauricio López-Reyes

Molecular dynamics is often considered as a numerical experiment. The error bars on the results are therefore mandatory, but sometimes difficult to determine and computationally demanding. As a low-cost approach, we describe the application…

Computational Physics · Physics 2021-12-01 Desbiens N. , Arnault P. , Weens W. , Perrin G. , Dubois V