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We uncover an emergent universality in the large-scale, long-time statistics of a one-dimensional hard-rod gas evolving under two fundamentally different classes of microscopic dynamics: stochastic (diffusive) and unitary (ballistic).…

Statistical Mechanics · Physics 2026-04-28 Soumyabrata Saha , Jitendra Kethepalli , Benjamin Guiselin , Jacopo De Nardis , Tridib Sadhu

We study the behavior of a tracer particle driven by a one-dimensional fluctuating potential, defined initially as a Brownian motion, and evolving in time according to the heat equation. We obtain two main results. First, in the short time…

Probability · Mathematics 2020-12-16 François Huveneers , François Simenhaus

We show how the tracer motion of tagged, distinguishable particles can effectively describe transport in various homogeneous quantum many-body systems with constraints. We consider systems of spinful particles on a one-dimensional lattice…

Strongly Correlated Electrons · Physics 2022-10-20 Johannes Feldmeier , William Witczak-Krempa , Michael Knap

We study several examples of kinetically constrained lattice models using dynamically accessible volume as an order parameter. Thereby we identify two distinct regimes exhibiting dynamical slowing, with a sharp threshold between them. These…

Statistical Mechanics · Physics 2009-11-11 Aonghus Lawlor , Paolo De Gregorio , Phil Bradley , Mauro Sellitto , Kenneth A. Dawson

The induced diffusion of tracers in a bacterial suspension is studied theoretically and experimentally at low bacterial concentrations. Considering the swimmer-tracer hydrodynamic interactions at low-Reynolds number and using a kinetic…

Soft Condensed Matter · Physics 2015-06-11 G. L. Miño , J. Dunstan , A. Rousselet , E. Clement , R. Soto

We study the pedestrian escape from an obscure corridor using a lattice gas model with two species of particles. One species, called passive, performs a symmetric random walk on the lattice, whereas the second species, called active, is…

Physics and Society · Physics 2019-07-23 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

Swimming bacteria create long-range velocity fields that stir a large volume of fluid and move around passive particles dispersed in the fluid. Recent experiments and simulations have shown that long-time mean-squared displacement of…

Soft Condensed Matter · Physics 2013-08-20 Alexander Morozov , Davide Marenduzzo

This experimental study investigates the dynamics of surface washing to remove a passive tracer from a porous plate by a gravity-driven liquid film across its surface. A disodium fluorescein tracer is introduced at the surface of a…

We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time…

Disordered Systems and Neural Networks · Physics 2020-02-10 Zhihao Xu , Hongli Huangfu , Yunbo Zhang , Shu Chen

We describe the motion of a tracer in an environment given by a kinetically constrained spin model (KCSM) at equilibrium. We check convergence of its trajectory properly rescaled to a Brownian motion and positivity of the diffusion…

Probability · Mathematics 2015-05-18 Oriane Blondel

We consider a heat conduction model introduced in \cite{Collet-Eckmann 2009}. This is an open system in which particles exchange momentum with a row of (fixed) scatterers. We assume simplified bath conditions throughout, and give a…

Chaotic Dynamics · Physics 2015-05-19 Jean-Pierre Eckmann , Lai-Sang Young

Some phase space transport properties for a conservative bouncer model are studied. The dynamics of the model is described by using a two-dimensional measure preserving mapping for the variables velocity and time. The system is…

We discuss the path of a tracer particle as a microswimmer moves past on an infinite straight trajectory. If the tracer is sufficiently far from the path of the swimmer it moves in a closed loop. As the initial distance between the tracer…

Fluid Dynamics · Physics 2013-07-26 Dmitri O. Pushkin , Henry Shum , Julia M. Yeomans

We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We…

Statistical Mechanics · Physics 2016-03-17 Tom Oakes , Juan P. Garrahan , Stephen Powell

Consider a system of particles performing nearest neighbor random walks on the lattice $\ZZ$ under hard--core interaction. The rate for a jump over a given bond is direction--independent and the inverse of the jump rates are i.i.d. random…

Probability · Mathematics 2007-09-05 A. Faggionato , M. Jara , C. Landim

We analyze a trapping reaction with a single penetrable trap, in a one dimensional lattice, where both species (particles and trap) are mobile and have a drift velocity. We obtain the density as seen from a reference system attached to the…

Condensed Matter · Physics 2009-10-31 Alejandro D. Sanchez

We study the dynamics of a deterministic walk confined in a narrow two-dimensional space randomly filled with point-like targets. At each step, the walker visits the nearest target not previously visited. Complex dynamics is observed at…

Disordered Systems and Neural Networks · Physics 2009-11-13 Denis Boyer

We study the evolution of bosons in a periodically driven optical lattice during a slow change of the driving amplitude. Both the regime of high frequency and low frequency driving are investigated. In the low frequency regime, resonant…

Quantum Gases · Physics 2015-05-28 Dario Poletti , Corinna Kollath

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , T. Franosch , E. Frey

Transport of tracer particles through mesh-like environments such as biological hydrogels and polymer matrices is ubiquitous in nature. These tracers could be passive, such as colloids or active (self-propelled), such as synthetic…

Soft Condensed Matter · Physics 2022-12-08 Praveen Kumar , Rajarshi Chakrabarti