Geodesic
Fast forward evolution in heat equation: Tunable heat transport in adiabatic regime
Nanosistemy: fizika, himiâ, matematika, Tome 14 (2023) no. 4, pp. 421-427

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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. 
@article{NANO_2023_14_4_a3,
     author = {Jasur Matrasulov and Jambul R. Yusupov and Abdulla A. Saidov},
     title = {Fast forward evolution in heat equation: {Tunable} heat transport in adiabatic regime},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {421--427},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2023_14_4_a3/}
}
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Jasur Matrasulov; Jambul R. Yusupov; Abdulla A. Saidov. Fast forward evolution in heat equation: Tunable heat transport in adiabatic regime. Nanosistemy: fizika, himiâ, matematika, Tome 14 (2023) no. 4, pp. 421-427. http://geodesic.mathdoc.fr/item/NANO_2023_14_4_a3/