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

Jasur MatrasulovFaculty of Physics, National University of Uzbekistan, Tashkent, UzbekistanJambul YusupovKimyo International University in Tashkent, Tashkent, UzbekistanA. A. SaidovTurin Polytechnic University in Tashkent, Tashkent, Uzbekistan
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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.

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