Thermodynamic uncertainty relations for multi-terminal systems with broken time-reversal symmetry

Fuente: arXiv
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Autori principali: Zhang, Yanchao, Liu, Xinzhi, Lü, Xiaolong, Su, Shanhe
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Yanchao
Liu, Xinzhi
Lü, Xiaolong
Su, Shanhe
author_facet Zhang, Yanchao
Liu, Xinzhi
Lü, Xiaolong
Su, Shanhe
contents We investigate the thermodynamic uncertainty relations (TURs) in steady-state transport for a multi-terminal system consisting of two conducting terminals and N-2 probe terminals, within the linear response regime under broken time-reversal symmetry. We independently derive exact bounds on the TURs for the steady-state particle and heat currents under a strong constraint on the Onsager coefficients. Based on our proposed exact bounds, the analysis reveals that the bounds differ for particle and heat currents and are dependent on the system parameters. Furthermore, we demonstrate that under specific parameter conditions, the TURs of the particle and heat currents have a unified minimum value that depends solely on the number of terminals.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13851
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermodynamic uncertainty relations for multi-terminal systems with broken time-reversal symmetry
Zhang, Yanchao
Liu, Xinzhi
Lü, Xiaolong
Su, Shanhe
Statistical Mechanics
Classical Physics
We investigate the thermodynamic uncertainty relations (TURs) in steady-state transport for a multi-terminal system consisting of two conducting terminals and N-2 probe terminals, within the linear response regime under broken time-reversal symmetry. We independently derive exact bounds on the TURs for the steady-state particle and heat currents under a strong constraint on the Onsager coefficients. Based on our proposed exact bounds, the analysis reveals that the bounds differ for particle and heat currents and are dependent on the system parameters. Furthermore, we demonstrate that under specific parameter conditions, the TURs of the particle and heat currents have a unified minimum value that depends solely on the number of terminals.
title Thermodynamic uncertainty relations for multi-terminal systems with broken time-reversal symmetry
topic Statistical Mechanics
Classical Physics
url https://arxiv.org/abs/2503.13851