Optimization of stochastic thermodynamic machines

Abstract

The study of stochastic thermodynamic machines is one of the main topics in nonequilibrium thermodynamics. In this study, within the framework of Fokker-Planck equation, and using the method of characteristics of partial differential equation as well as the variational method, performance of stochastic thermodynamic machines is optimized according to the external potential, with the irreversible work $W_{irr}$, or the total entropy production $\Delta S_{\mathrm{tot}}$ equivalently, reaching its lower bound. Properties of the optimal thermodynamic machines are discussed, with explicit expressions of upper bounds of work output $W$, power $P$, and energy efficiency $\eta$ are presented. To illustrate the results obtained, typical examples with optimal protocols (external potentials) are also presented.

References in corpus (5)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Optimal finite-time processes in stochastic thermodynamics
• The unlikely Carnot efficiency
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
• Computing the optimal protocol for finite-time processes in stochastic thermodynamics

Cited by in corpus (11)

• Finite-time Landauer principle
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Optimal finite-time bit erasure under full control
• Optimal Control in Stochastic Thermodynamics
• Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
• Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
• Thermal brachistochrone for harmonically confined Brownian particles
• Optimal finite-time heat engines under constrained control
• Erasing a majority-logic bit
• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
• Optimizing power and efficiency of a single spin heat engine