najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2023-14-4-421-427najo-129Research ArticlePHYSICSФИЗИКАFast forward evolution in heat equation: Tunable heat transport in adiabatic regimeУскоренная эволюция в уравнении теплопроводности: управляемая теплопередача в адиабатическом режимеhttps://orcid.org/0000-0001-5741-9003МатрасуловЖ.MatrasulovJ.

J. Matrasulov – Faculty of Physics, National University of Uzbekistan

Vuzgorodok, Tashkent 100174 

jasur1362@gmail.comhttps://orcid.org/0000-0003-1758-6805ЮсуповЖ. Р.YusupovJ. R.

J. R. Yusupov – Kimyo International University in Tashkent

156 Usman Nasyr Str., 100121, Tashkent

j.yusupov@kiut.uzhttps://orcid.org/0000-0003-3295-4119СаидовА. А.SaidovA. A.

A. A. Saidov – Turin Polytechnic University in Tashkent

17 Niyazov Str.,100095, Tashkent

cabdullasaidov@gmail.comFaculty of Physics, National University of UzbekistanUzbekistanKimyo International University in TashkentUzbekistanTurin Polytechnic University in TashkentUzbekistan202303062025144421427Copyright © Matrasulov J., Yusupov J.R., Saidov A.A., 20252025Матрасулов Ж., Юсупов Ж.Р., Саидов А.А.Matrasulov J., Yusupov J.R., Saidov A.A.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/129

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. 

Рассмотрена задача об ускоренной эволюции процессов, описываемых уравнением теплопроводности. В этой работе рассматривается адиабатически расширяющийся нестационарный конфайнмент. Уделено внимание ускорению процессов теплообмена. Изучаются так называемые кратчайшие пути адиабатичности, подразумевающие быстрое перенаправление адиабатических состояний. Анализируются профили теплового потока и температуры для стандартных и ускоренных режимов.

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The authors declare that there are no conflicts of interest present.