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The existence of coefficients for diffusion, viscosity and thermal conductivity is examined for two-dimensional (2D) liquids. Equilibrium molecular dynamics simulations are performed using a Yukawa potential, and the long-time behavior of…

Fluid Dynamics · Physics 2009-11-13 Zoltan Donko , John Goree , Peter Hartmann , Bin Liu

In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realise large-deviation events. The bias acts on a single…

Statistical Mechanics · Physics 2021-06-02 Jakub Dolezal , Robert L. Jack

We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles.In both cases, the two-point correlation functions allow to detect the…

Statistical Mechanics · Physics 2011-11-29 T. Bodineau , B. Derrida , V. Lecomte , F. van Wijland

We use AdS/CFT correspondence to study two-particle correlations in heavy ion collisions at strong coupling. Modeling the colliding heavy ions by shock waves on the gravity side, we observe that at early times after the collision there are…

High Energy Physics - Theory · Physics 2011-04-07 Hovhannes R. Grigoryan , Yuri V. Kovchegov

We develop an instanton approach to the non-equilibrium dynamics in one-dimensional random environments. The long time behavior is controlled by rare fluctuations of the disorder potential and, accordingly, by the tail of the distribution…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. V. Lopatin , V. M. Vinokur

The quantum dynamics of a strongly driven, strongly coupled single-atom-cavity system is studied by evaluating time-dependent second- and third-order correlations of the emitted photons. The coherent energy exchange, first, between the atom…

Gravitational and electrostatic interactions are fundamental examples of systems with long-range interactions. Equilibrium properties of simple models with long-range interactions are well understood and exhibit exotic behaviors : negative…

Statistical Mechanics · Physics 2012-01-05 Pierre de Buyl

In fully developed turbulence, the velocity field possesses long-range correlations, denoted by a scaling power spectrum or structure functions. Here we consider the autocorrelation function of velocity increment $ {\Delta u_{\ell}(t)}$ at…

Fluid Dynamics · Physics 2014-02-05 Y. X. Huang , F. G. Schmitt , Z. M. Lu , Y. L. Liu

In this Series, we study the weakly nonlinear dynamics of chemically active particles near the threshold for spontaneous motion. In this part, we focus on steady solutions and develop an `adjoint method' for deriving the nonlinear amplitude…

Fluid Dynamics · Physics 2022-11-18 Ory Schnitzer

Inspired by one--dimensional light--particle systems, the dynamics of a non-Hamiltonian system with long--range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the…

Statistical Mechanics · Physics 2019-01-23 Romain Bachelard , Nicola Piovella , Shamik Gupta

The purpose of this paper is to investigate the long time behaviour for a self-interacting diffusion and a self-interacting velocity jump process. While the diffusion case has already been studied for some particular potential function, the…

Probability · Mathematics 2019-02-04 Carl-Erik Gauthier , Pierre Monmarché

The general scheme for the treatment of relaxation processes and temporal autocorrelations of dynamical variables for many particle systems is presented in framework of the recurrence relations approach. The time autocorrelation functions…

Statistical Mechanics · Physics 2013-12-10 Anatolii V. Mokshin

Time-varying dependence is often modeled with dynamic correlations or Gaussian graphical models, but multivariate systems can change through tail behavior, asymmetry, or conditional structure even when correlations are nearly stable. We…

Machine Learning · Statistics 2026-05-08 Houman Safaai , Alessandro Marin Vargas

The flocking of self-propelled particles in heterogeneous environments is relevant to both natural and artificial systems. The Vicsek model is a canonical choice to investigate such systems due to the minimal number of parameters required…

Computational Physics · Physics 2024-12-11 Eighdi Aung , Nicole Abaid , James E. McClure

The classical Coulomb gas model has served as one of the most versatile frameworks in statistical physics, connecting a vast range of phenomena across many different areas. Nonequilibrium generalisations of this model have so far been…

Statistical Mechanics · Physics 2022-07-04 Saeed Mahdisoltani , Ramin Golestanian

The behavior of particles driven through a narrow constriction is investigated in experiment and simulation. The system of particles adapts to the confining potentials and the interaction energies by a self-consistent arrangement of the…

Soft Condensed Matter · Physics 2008-10-15 P. Henseler , A. Erbe , M. Köppl , P. Leiderer , P. Nielaba

We simulate a colloid with charge q_d driven through a disordered assembly of interacting colloids with charge q and show that, for q_d \approx q, the velocity-force relation is nonlinear and the velocity fluctuations of the driven particle…

Soft Condensed Matter · Physics 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

The long-time behavior of the current auto-correlation functions for the velocity, the shear stress and the heat flux is investigated in freely cooling granular gases. It is found that the correlation functions for the velocity and the…

Statistical Mechanics · Physics 2009-11-13 Hisao Hayakawa , Michio Otsuki

We study the effect of long-range elastic interactions in the dynamical behavior of an elastic chain driven quasi-statically in a quenched random pinning potential and in the strong pinning limit. This is a generic situation occuring in…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Tanguy , M. Gounelle , S. Roux

One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the…

Statistical Mechanics · Physics 2013-05-29 Claudio Giberti , Lamberto Rondoni