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Tensor networks are employed to characterize the current fluctuations in one-dimensional diffusion-reaction systems. The representative system under study is a semiconducting material where holes and electrons constitute two types of charge…

Statistical Mechanics · Physics 2025-12-16 Jiayin Gu

We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When $N$ particles are initially situated in the negative region with a uniform density $\rho_-=1$, Johansson…

Statistical Mechanics · Physics 2009-11-10 Taro Nagao , Tomohiro Sasamoto

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a…

Statistical Mechanics · Physics 2025-11-04 Marina V. Yashina , Alexander G. Tatashev

This paper aims to justify the use of statistical mechanics tools in situations where the system is out of equilibrium and jammed. Specifically, we derive a Boltzmann equation for a jammed granular system and show that the Boltzmann's…

Soft Condensed Matter · Physics 2007-05-23 Sam. F. Edwards , Jasna Brujic , Hernan A. Makse

We investigate quantum fluctuations of metric components in coherent 1/2-BPS bound states of $n_1$ fundamental strings and $n_5$ NS5-branes. The leading order contribution in an expansion in $1/(n_1n_5)$ is calculated via a combination of…

High Energy Physics - Theory · Physics 2023-11-16 Emil J. Martinec , Yoav Zigdon

Condensation is the phenomenon whereby one of a sum of random variables contributes a finite fraction to the sum. It is manifested as an aggregation phenomenon in diverse physical systems such as coalescence in granular media, jamming in…

Statistical Mechanics · Physics 2014-01-20 Juraj Szavits-Nossan , Martin R. Evans , Satya N. Majumdar

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

Statistical Mechanics · Physics 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

We study current fluctuations in lattice gases in the hydrodynamic scaling limit. More precisely, we prove a large deviation principle for the empirical current in the symmetric simple exclusion process with rate functional I. We then…

Probability · Mathematics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We have considered a one-dimensional coagulation-decoagulation system of classical particles on a finite lattice with reflecting boundaries. It is known that the system undergoes a phase transition from a high-density to a low-density…

Statistical Mechanics · Physics 2013-10-03 Pegah Torkaman , Farhad H. Jafarpour

Periodic driving is used to operate machines that go from standard macroscopic engines to small non-equilibrium micro-sized systems. Two classes of such systems are small heat engines driven by periodic temperature variations and molecular…

Statistical Mechanics · Physics 2017-11-16 Somrita Ray , Andre C. Barato

We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple Exclusion Process) for stochastic 1d transport to allow for two different particle species, each having specific entry and exit rates. We offer a complete mean-field…

Statistical Mechanics · Physics 2022-04-06 Pierre Bonnin , Ian Stansfield , M. Carmen Romano , Norbert Kern

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically…

Quantum Physics · Physics 2012-04-18 Malte C. Tichy , Markus Tiersch , Fernando de Melo , Florian Mintert , Andreas Buchleitner

The leptonic branching fractions of the tau lepton are sensitive to anomalous charged current interactions. We use recent experimental measurements to determine the weak charged current magnetic and electric dipole moments and the Michel…

High Energy Physics - Phenomenology · Physics 2016-08-25 Maria-Teresa Dova , John Swain , Lucas Taylor

For Brownian motion of a single particle subject to a tilted periodic potential on a ring, we propose a formula for experimentally determining the cumulant generating function of time-averaged current without measurements of current…

Statistical Mechanics · Physics 2013-05-29 Takahiro Nemoto , Shin-ichi Sasa

The statistics of velocity differences between very heavy inertial particles suspended in an incompressible turbulent flow is found to be extremely intermittent. When particles are separated by distances within the viscous subrange, the…

Fluid Dynamics · Physics 2009-05-11 J. Bec , L. Biferale , M. Cencini , A. S. Lanotte , F. Toschi

In this short note, we review a recently developed method for analysing multi-component driven diffusive systems with open boundaries. The approach generalises the extremal-current principle known for single-component models and is based on…

Mathematical Physics · Physics 2025-12-12 Ali Zahra

We analyze a systematic algorithm for the exact computation of the current cumulants in stochastic nonequilibrium systems, recently discussed in the framework of full counting statistics for mesoscopic systems. This method is based on…

Statistical Mechanics · Physics 2010-06-17 Marco Baiesi , Christian Maes , Karel Netočný

The TASEP is a paradigmatic model from non-equilibrium statistical physics, which describes particles hopping along a lattice of discrete sites. The TASEP is applicable to a broad range of different transport systems, but does not consider…

Statistical Mechanics · Physics 2012-03-20 Chris A. Brackley , Luca Ciandrini , M. Carmen Romano

We study the full counting statistics of current of large open systems through the application of random matrix theory to transition-rate matrices. We develop a method for calculating the ensemble-averaged current-cumulant generating…

Statistical Mechanics · Physics 2014-01-31 Uliana Mordovina , Clive Emary

We prove density and current fluctuations for two examples of symmetric, interacting particle systems with anomalous diffusive behavior: the zero-range process with long jumps and the zero-range process with degenerated bond disorder. As an…

Probability · Mathematics 2009-01-05 M. Jara