Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime
arXiv:2401.02812 · doi:10.17586/2220-8054-2023-14-4-421-427
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.
References in corpus (12)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity by counter-diabatic driving
- Fast-forward of adiabatic dynamics in quantum mechanics
- Fast forward to the classical adiabatic invariant
- Vibrational mode multiplexing of ultracold atoms
- Fast forward of adiabatic spin dynamics of entangled states
- Fast forward approach to stochastic heat engine
- Heat transport in carbon nanotubes: Length dependence of phononic conductivity from the Boltzmann transport equation and molecular dynamics
- Fast forward of adiabatic control of tunneling states
- Scheme for accelerating quantum tunneling dynamics
- Quantum gas in the fast forward scheme of adiabatically expanding cavities: Force and equation of states