Current fluctuations for the second class particle: joint statistics

Abstract We consider totally asymmetric simple exclusion process (TASEP) with a single second class particle and periodic boundary conditions. Using Bethe ansatz, we compute stationary large deviations for the joint statistics of the current of first and second class particles. At large scales, the generating function of the joint cumulants shows an unexpected connection to current fluctuations of TASEP with open boundaries.

Authors

Institutions

Publication Details

Journal
Journal of Physics A Mathematical and Theoretical
Published
2025-07-30
DOI
https://doi.org/10.1088/1751-8121/adf610
Primary Topic
Cold Atom Physics and Bose-Einstein Condensates
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Current fluctuations for the second class particle: joint statistics

Sylvain Prolhac
Journal of Physics A Mathematical and Theoretical
Cold Atom Physics and Bose-Einstein Condensates
article

Current fluctuations for the second class particle: joint statistics

Sylvain Prolhac
article en

Abstract

Abstract We consider totally asymmetric simple exclusion process (TASEP) with a single second class particle and periodic boundary conditions. Using Bethe ansatz, we compute stationary large deviations for the joint statistics of the current of first and second class particles. At large scales, the generating function of the joint cumulants shows an unexpected connection to current fluctuations of TASEP with open boundaries.

Journal of Physics A Mathematical and TheoreticalVol. 58(32)
Laboratoire de Physique Théorique (FR)
Openalex Percentile: Top 86%
Cold Atom Physics and Bose-Einstein Condensates
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Current fluctuations for the second class particle: joint statistics — Sylvain Prolhac · Journal of Physics A Mathematical and Theoretical (2025) | TGRS Research Map | TGRS