Fluctuations of stochastic charged cellular automata

Žiga Krajnik; Katja Klobas; Bruno Bertini; Tomaž Prosen

doi:10.48550/arXiv.2502.02509

Fluctuations of stochastic charged cellular automata

Žiga Krajnik
, Katja Klobas
, Bruno Bertini
, Tomaž Prosen

Physics and Astronomy

Research output: Working paper/Preprint › Preprint

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Abstract

We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic six-vertex model with one inert color. Typical charge current fluctuation at vanishing net charge follow a one-parameter distribution that interpolates between the distribution of the charged single-file class in the limit of pure reflection and a Gaussian distribution in the limit of pure transmission.

Original language	English
Publisher	arXiv
Number of pages	37
DOIs	https://doi.org/10.48550/arXiv.2502.02509
Publication status	Published - 4 Feb 2025

Bibliographical note

35 pages, comments welcome

Keywords

cond-mat.stat-mech
math-ph
math.MP

Access to Document

10.48550/arXiv.2502.02509Licence: None: All rights reserved

KrajnikZ2025Fluctuations_preprintOther version, 1.7 MBLicence: None: All rights reserved

Understanding thermalization through exact dynamics of quantum circuits
Klobas, K. (Principal Investigator)
Leverhulme Trust
8/04/24 → 30/09/25
Project: Research

Cite this

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AU - Prosen, Tomaž

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AB - We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic six-vertex model with one inert color. Typical charge current fluctuation at vanishing net charge follow a one-parameter distribution that interpolates between the distribution of the charged single-file class in the limit of pure reflection and a Gaussian distribution in the limit of pure transmission.

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Fluctuations of stochastic charged cellular automata

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Projects

Understanding thermalization through exact dynamics of quantum circuits

Cite this