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We analyze static point-to-set correlations in glass-forming liquids. The generic idea is to freeze the position of a set of particles in an equilibrium configuration and to perform sampling in the presence of this additional constraint.…

Statistical Mechanics · Physics 2012-01-05 Ludovic Berthier , Walter Kob

The statistical properties of the $E \times B$ flux in different types of plasma turbulence simulations are investigated using probability density distribution functions (PDF). The physics included in the models ranges from two dimensional…

Plasma Physics · Physics 2009-11-10 Volker Naulin , Odd Erik Garcia , Anders Henry Nielsen , Jens Juul Rasmussen

Run-and-tumble particles (RTPs) have emerged as a paradigmatic example for studying nonequilibrium phenomena in statistical mechanics. The invariant measure of a wide class of RTPs subjected to a potential possesses a density that is…

Statistical Mechanics · Physics 2025-11-24 Leo Hahn

We consider a system of $N$ interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical measure of the system. Every particle jumps with a jump rate depending on its position.…

Probability · Mathematics 2025-02-19 Eva Löcherbach , Dasha Loukianova , Elisa Marini

We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a $d$-dimensional harmonic trap, modeling active speed generation through an…

Statistical Mechanics · Physics 2025-02-18 Manish Patel , Amir Shee , Debasish Chaudhuri

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting…

Quantum Gases · Physics 2020-07-01 Srivatsa B. Prasad , Brendan C. Mulkerin , Andrew M. Martin

We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, and dumbbells to determine which shapes form hypostatic versus isostatic…

Soft Condensed Matter · Physics 2018-01-24 Kyle VanderWerf , Weiwei Jin , Mark D. Shattuck , Corey S. O'Hern

We consider a one-dimensional classical Coulomb gas of $N$ like-charges in a harmonic potential -- also known as the one-dimensional one-component plasma (1dOCP). We compute analytically the probability distribution of the position…

Statistical Mechanics · Physics 2017-08-16 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

We propose a dynamical model for state symmetrization of two identical particles produced in spacelike-separated events by independent sources. We adopt the hypothesis that the pair of non-interacting particles can initially be described by…

Quantum Physics · Physics 2021-06-01 Armen E. Allahverdyan , Karen V. Hovhannisyan , David Petrosyan

We consider the classical dynamics of two particles moving in harmonic potential wells and interacting with the same external environment (HE), consisting of N non-interacting chaotic systems. The parameters are set so that when either…

Statistical Mechanics · Physics 2012-04-17 M. A. Marchiori , Ricardo Fariello , M. A. M. de Aguiar

We consider an open one dimensional lattice gas on sites $i=1,...,N$, with particles jumping independently with rate 1 to neighboring interior empty sites, the {\it simple symmetric exclusion process}. The particle fluxes at the left and…

Condensed Matter · Physics 2015-06-24 B. Derrida , J. L. Lebowitz , E. R. Speer

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

A stability of nearly limiting Stokes waves to superharmonic perturbations is considered numerically. The new, previously inaccessible branches of superharmonic instability were investigated. Our numerical simulations suggest that…

We study the tagged particle dynamics in a harmonic chain of direction reversing active Brownian particles, with spring constant $k$, rotation diffusion coefficient $D_{\text{r}}$, and directional reversal rate $\gamma$. We exactly compute…

Statistical Mechanics · Physics 2025-03-14 Shashank Prakash , Urna Basu , Sanjib Sabhapandit

We study the deterministic dynamics of non-interacting classical gas particles confined to a one-dimensional box as a pedagogical toy model for the relaxation of the Boltzmann distribution towards equilibrium. Hard container walls alone…

Classical Physics · Physics 2011-06-28 Florian Gebhard , Kevin zu Muenster

Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a…

Statistical Mechanics · Physics 2010-10-07 Edan Lerner , Itamar Procaccia

I discuss the relationship between edge exponents in the statistics of work done, dynamical phase transitions, and the role of different kinds of excitations appearing when a non-equilibrium protocol is performed on a closed, gapped,…

Statistical Mechanics · Physics 2015-12-22 T. Palmai

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

A two-dimensional statistical model of N charged particles interacting via logarithmic repulsion in the presence of an oppositely charged regular closed region K whose charge density is determined by its equilibrium potential at an inverse…

Classical Analysis and ODEs · Mathematics 2015-07-01 Maxim L. Yattselev

We study the nonlinear propagation of electrostatic wave packets in a collisional plasma composed of strongly coupled ions and relativistically degenerate electrons. The equilibrium of ions is maintained by an effective temperature…

Plasma Physics · Physics 2012-02-24 A. P. Misra , P. K. Shukla