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We study charge fluctuations in single-file dynamics with general charge measures. The exact finite-time distribution of charge fluctuations is obtained in terms of a dressing transformation acting on the finite-time distribution of…

Statistical Mechanics · Physics 2024-08-13 Žiga Krajnik

We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium…

Statistical Mechanics · Physics 2024-02-06 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Enej Ilievski , Tomaž Prosen

We consider the hydrodynamic origin of anomalous current fluctuations in a family of stochastic charged cellular automata. Using ballistic macroscopic fluctuation theory, we study both typical and large fluctuations of the charge current…

Statistical Mechanics · Physics 2025-04-21 Takato Yoshimura , Žiga Krajnik

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

We present a complete theory for the full particle statistics of the positions of bulk and extremal particles in a one-dimensional Coulomb Gas (CG) with an arbitrary potential, in the typical and large deviations regimes. Typical…

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conserved mass we show that the spatio-temporal density…

Statistical Mechanics · Physics 2017-01-25 D. Karevski , G. M. Schütz

Anomalous diffusion phenomena occur on length scales spanning from intracellular to astrophysical ranges. A specific form of decay at large argument of the probability density function of rescaled displacement (scaling function) is derived…

Statistical Mechanics · Physics 2023-05-23 Attilio L. Stella , Aleksei Chechkin , Gianluca Teza

The overdamped dynamics of a charged particle driven by an uniform electric field through a random sequence of scatterers in one dimension is investigated. Analytic expressions of the mean velocity and of the velocity power spectrum are…

Chaotic Dynamics · Physics 2009-11-07 H. Kunz , R. Livi , A. Suto

We study Fluctuation Relations (FRs) for dynamics that are anomalous, in the sense that the diffusive properties strongly deviate from the ones of standard Brownian motion. We first briefly review the concept of transient work FRs for…

Statistical Mechanics · Physics 2013-07-18 R. Klages , A. V. Chechkin , P. Dieterich

The stochastic dynamics of tracers arising from hydrodynamic fluctuations in a driven electrolyte is studied using a self-consistent field-theory framework in all dimensions. A plethora of scaling behaviour that includes two distinct…

Soft Condensed Matter · Physics 2026-02-12 Ramin Golestanian

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 investigate the diffusive properties of energy fluctuations in a one-dimensional diatomic chain of hard-point particles interacting through a square--well potential. The evolution of initially localized infinitesimal and finite…

Statistical Mechanics · Physics 2009-11-13 L. Delfini , S. Denisov , S. Lepri , R. Livi , P. K. Mohanty , A. Politi

Dynamical phase transitions are crucial features of the fluctuations of statistical systems, corresponding to boundaries between qualitatively different mechanisms of maintaining unlikely values of dynamical observables over long periods of…

Statistical Mechanics · Physics 2017-06-02 Alexandre Lazarescu

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

Driven diffusive systems may undergo phase transitions to sustain atypical values of the current. This leads in some cases to symmetry-broken space-time trajectories which enhance the probability of such fluctuations. Here we shed light on…

Statistical Mechanics · Physics 2018-12-19 Carlos Pérez-Espigares , Federico Carollo , Juan P. Garrahan , Pablo I. Hurtado

Pattern-forming nonequilibrium systems are ubiquitous in nature, from driven quantum matter and biological life forms to atmospheric and interstellar gases. Identifying universal aspects of their far-from-equilibrium dynamics and statistics…

Statistical Mechanics · Physics 2026-03-03 Vili Heinonen , Abel J. Abraham , Jonasz Słomka , Keaton J. Burns , Pedro J. Sáenz , Jörn Dunkel

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

We consider a gas of point particles moving in a one-dimensional channel with a hard-core inter-particle interaction that prevents particle crossings --- this is called single-file motion. Starting from equilibrium initial conditions we…

Statistical Mechanics · Physics 2016-11-15 Chaitra Hegde , Sanjib Sabhapandit , Abhishek Dhar

In many-particle diffusions, particles that move the furthest and fastest can play an outsized role in physical phenomena. A theoretical understanding of the behavior of such extreme particles is nascent. A classical model, in the spirit of…

Statistical Mechanics · Physics 2024-11-22 Jacob B. Hass , Aileen N. Carroll-Godfrey , Eric I. Corwin , Ivan Z. Corwin
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