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Bibliographic Details
Main Authors: Qiao, Yu, Shang, Zhaoru
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.09161
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author Qiao, Yu
Shang, Zhaoru
author_facet Qiao, Yu
Shang, Zhaoru
contents It has long been known that, fundamentally different from a large body of rarefied gas, when a Knudsen gas is immersed in a thermal bath, it may never reach thermal equilibrium. The root cause is nonchaoticity: as the particle-particle collisions are sparse, the particle trajectories tend to be independent of each other. Usually, this counterintuitive phenomenon is studied through kinetic theory and is not considered a thermodynamic problem. In current research, we show that if incorporated in a compound setup, such an intrinsically nonequilibrium behavior has nontrivial consequences and cannot circumvent thermodynamics: cold-to-hot heat transfer may happen spontaneously, either continuously (with an energy barrier) or cyclically (with time-dependent entropy barriers). It allows for production of useful work by absorbing heat from a single thermal reservoir without any other effect. As the system obeys the first law of thermodynamics, it breaks the boundaries of the second law of thermodynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09161
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Second law of thermodynamics: Spontaneous cold-to-hot heat transfer in a nonchaotic medium
Qiao, Yu
Shang, Zhaoru
Statistical Mechanics
Chaotic Dynamics
It has long been known that, fundamentally different from a large body of rarefied gas, when a Knudsen gas is immersed in a thermal bath, it may never reach thermal equilibrium. The root cause is nonchaoticity: as the particle-particle collisions are sparse, the particle trajectories tend to be independent of each other. Usually, this counterintuitive phenomenon is studied through kinetic theory and is not considered a thermodynamic problem. In current research, we show that if incorporated in a compound setup, such an intrinsically nonequilibrium behavior has nontrivial consequences and cannot circumvent thermodynamics: cold-to-hot heat transfer may happen spontaneously, either continuously (with an energy barrier) or cyclically (with time-dependent entropy barriers). It allows for production of useful work by absorbing heat from a single thermal reservoir without any other effect. As the system obeys the first law of thermodynamics, it breaks the boundaries of the second law of thermodynamics.
title Second law of thermodynamics: Spontaneous cold-to-hot heat transfer in a nonchaotic medium
topic Statistical Mechanics
Chaotic Dynamics
url https://arxiv.org/abs/2312.09161