Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime
Quantum Physics
2024-01-08 v1 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
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
Cite
@article{arxiv.2401.02812,
title = {Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime},
author = {J. Matrasulov and J. R. Yusupov and A. A. Saidov},
journal= {arXiv preprint arXiv:2401.02812},
year = {2024}
}