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We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Thermodynamics and dynamics of a classical two-dimensional system with dipole-like isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical…

Soft Condensed Matter · Physics 2018-03-02 Sergey Khrapak , Nikita Kryuchkov , Stanislav Yurchenko

The large-scale collective behavior of biological systems can be characterized by macroscopic transport, which arises from the non-equilibrium microscopic interactions among individual constituents. A prominent example is the formation of…

Statistical Mechanics · Physics 2025-07-29 Subhadip Chakraborti , Vasily Zaburdaev

We prove a generalized dynamical duality for identical particles in one dimension (1D). Namely, 1D systems with arbitrary statistics -- including bosons, fermions and anyons -- approach the same momentum distribution after long-time…

Quantum Gases · Physics 2025-10-30 Yu Chen , Xiaoling Cui

Via event-driven molecular dynamics simulations we study kinetics of clustering in assemblies of inelastic particles in various space dimensions. We consider two models, viz., the ballistic aggregation model (BAM) and the freely cooling…

Statistical Mechanics · Physics 2018-04-04 Subhajit Paul , Subir K. Das

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…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

Dynamic heterogeneity in glass-formers has been related to their static structure using the concept of dynamic propensity. We re-examine this relationship by analyzing dynamical fluctuations in two atomistic glass-formers and two…

Statistical Mechanics · Physics 2009-08-25 Ludovic Berthier , Robert L. Jack

We obtain exact analytic expressions for a class of functions expressed as integrals over the Haar measure of the unitary group in d dimensions. Based on these general mathematical results, we investigate generic dynamical properties of…

Quantum Physics · Physics 2013-04-30 Manuel Gessner , Heinz-Peter Breuer

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other…

Soft Condensed Matter · Physics 2020-05-14 Pierre Illien , Charlotte de Blois , Yang Liu , Marjolein N. van der Linden , Olivier Dauchot

Collective behaviour in biological systems pitches us against theoretical challenges way beyond the borders of ordinary statistical physics. The lack of concepts like scaling and renormalization is particularly grievous, as it forces us to…

Statistical Mechanics · Physics 2017-10-11 A. Cavagna , D. Conti , C. Creato , L. Del Castello , I. Giardina , T. S. Grigera , S. Melillo , L. Parisi , M. Viale

We investigate the growth of dynamic heterogeneity in a glassy hard-sphere mixture for volume fractions up to and including the mode-coupling transition. We use an 80 000 particle system to test a new procedure to evaluate a dynamic…

Soft Condensed Matter · Physics 2015-05-19 Elijah Flenner , Grzegorz Szamel

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

We investigate collective behavior of a system of two-dimensional interacting Brownian particles in the hydrodynamic regime. By means of the Martin-Siggia-Rose-Jenssen-de Dominicis formalism, we built up a generating functional for…

Statistical Mechanics · Physics 2025-03-10 Nathan O Silvano , Daniel G. Barci

The enhancement of mobility at the surface of an amorphous alloy is studied using a combination of molecular dynamic simulations and normal mode analysis of the non-uniform distribution of Debye-Waller factors. The increased mobility at the…

Soft Condensed Matter · Physics 2017-12-20 Gang Sun , Shibu Saw , Ian Douglass , Peter Harrowell

The simplest prescription for building a patterned structure from its constituents is to add particles, one at a time, to an appropriate template. However, self-organizing molecular and colloidal systems in nature can evolve in much more…

Statistical Mechanics · Physics 2009-04-07 Stephen Whitelam , Edward H. Feng , Michael F. Hagan , Phillip L. Geissler

Collective phenomena emerge from the interaction of natural or artificial units with a complex organization. The interplay between structural patterns and dynamics might induce functional clusters that, in general, are different from…

Physics and Society · Physics 2017-04-25 Manlio De Domenico

Understanding kinetics and thermodynamics profile of biomolecules is necessary to understand their functional roles which has a major impact in mechanism driven drug discovery. Molecular dynamics simulation has been routinely used to…

Biomolecules · Quantitative Biology 2021-12-07 Soumendranath Bhakat

The use of the isoconfigurational ensemble to explore structure-dynamic correlations in supercooled liquids is examined. The statistical error of the dynamic propensity and its spatial distribution are determined. The authors present the…

Statistical Mechanics · Physics 2011-09-08 Asaph Widmer-Cooper , Peter Harrowell

Collective diffusion coefficient in a two-dimensional lattice gas on a nonhomogeneous substrate is investigated using variational approach. Particles reside at adsorption sites with different well depths potentials and jump randomly between…

Statistical Mechanics · Physics 2009-11-13 F Krzyzewski , Magdalena A. Zaluska-Kotur

The dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed. Dynamical contact processes capture a variety of contagious processes such as the spreading of…

Statistical Mechanics · Physics 2018-03-01 Lucas Böttcher , Hans Jürgen Herrmann , Malte Henkel