A minimal model with stochastically broken reciprocity

Fuente: arXiv
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Autore principale: Tu, Z. C.
Natura: Preprint
Pubblicazione: 2025
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author Tu, Z. C.
author_facet Tu, Z. C.
contents We introduce a minimal model consisting of a two-body system with stochastically broken reciprocity (i.e., random violation of Newton's third law) and then investigate its statistical behaviors, including fluctuations of velocity and position, time evolution of probability distribution functions, energy gain, and entropy production. The effective temperature of this two-body system immersed in a thermal bath is also derived. Furthermore, we heuristically present an extremely minimal model where the relative motion adheres to the same rules as in classical mechanics, while the effect of stochastically broken reciprocity only manifests in the fluctuating motion of the center of mass.
format Preprint
id arxiv_https___arxiv_org_abs_2507_14862
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A minimal model with stochastically broken reciprocity
Tu, Z. C.
Statistical Mechanics
Classical Physics
We introduce a minimal model consisting of a two-body system with stochastically broken reciprocity (i.e., random violation of Newton's third law) and then investigate its statistical behaviors, including fluctuations of velocity and position, time evolution of probability distribution functions, energy gain, and entropy production. The effective temperature of this two-body system immersed in a thermal bath is also derived. Furthermore, we heuristically present an extremely minimal model where the relative motion adheres to the same rules as in classical mechanics, while the effect of stochastically broken reciprocity only manifests in the fluctuating motion of the center of mass.
title A minimal model with stochastically broken reciprocity
topic Statistical Mechanics
Classical Physics
url https://arxiv.org/abs/2507.14862