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PHYSICS
Fast forward evolution in heat equation: Tunable heat transport in adiabatic regime
Jasur Matrasulova, Jambul R. Yusupovb, Abdulla A. Saidovc a Faculty of Physics, National University of Uzbekistan, Tashkent, Uzbekistan
b Kimyo International University in Tashkent, Tashkent, Uzbekistan
c Turin Polytechnic University in Tashkent, Tashkent, Uzbekistan
Abstract:
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.
Keywords:
Heat equation, shortcuts to adiabaticity, heat transport.
Received: 17.10.2022 Revised: 12.06.2023 Accepted: 25.06.2023
Citation:
Jasur Matrasulov, Jambul R. Yusupov, Abdulla A. Saidov, “Fast forward evolution in heat equation: Tunable heat transport in adiabatic regime”, Nanosystems: Physics, Chemistry, Mathematics, 14:4 (2023), 421–427
Linking options:
https://www.mathnet.ru/eng/nano1207 https://www.mathnet.ru/eng/nano/v14/i4/p421
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Abstract page: | 57 | Full-text PDF : | 26 |
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