Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime

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Hauptverfasser: Matrasulov, J., Yusupov, J. R., Saidov, A. A.
Format: Preprint
Veröffentlicht: 2024
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author Matrasulov, J.
Yusupov, J. R.
Saidov, A. A.
author_facet Matrasulov, J.
Yusupov, J. R.
Saidov, A. A.
contents We consider the problem of fast forward evolution of the processes described in terms of the heat equation. The matter is considered on an adiabatically expanding time-dependent box. Attention is paid to acceleration of heat transfer processes. So called shortcuts to adiabaticity, implying fast forwarding of the adiabatic states are studied. Heat flux and temperature profiles are analyzed for standard and fast forwarded regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02812
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime
Matrasulov, J.
Yusupov, J. R.
Saidov, A. A.
Quantum Physics
Mesoscale and Nanoscale Physics
Mathematical Physics
We consider the problem of fast forward evolution of the processes described in terms of the heat equation. The matter is considered on an adiabatically expanding time-dependent box. Attention is paid to acceleration of heat transfer processes. So called shortcuts to adiabaticity, implying fast forwarding of the adiabatic states are studied. Heat flux and temperature profiles are analyzed for standard and fast forwarded regimes.
title Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime
topic Quantum Physics
Mesoscale and Nanoscale Physics
Mathematical Physics
url https://arxiv.org/abs/2401.02812