Optimal time-entropy bounds and speed limits for Brownian thermal shortcuts
arXiv:2302.06003 · doi:10.1103/PhysRevLett.131.097101
Abstract
By controlling in real-time the variance of the radiation pressure exerted on an optically trapped microsphere, we engineer temperature protocols that shortcut thermal relaxation when transferring the microsphere from one thermal equilibrium state to an other. We identify the entropic footprint of such accelerated transfers and derive optimal temperature protocols that either minimize the production of entropy for a given transfer duration or accelerate as much as possible the transfer for a given entropic cost. Optimizing the trade-off yields time-entropy bounds that put speed limits on thermalization schemes. We further show how optimization expands the possibilities for accelerating Brownian thermalization down to its fundamental limits. Our approach paves the way for the design of optimized, finite-time thermodynamic cycles at the mesoscale. It also offers a platform for investigating fundamental connections between information geometry and finite-time processes.
arXiv comment4 pages, 3 figures, plus Appendix
References in corpus (31)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Shortcuts to adiabaticity: concepts, methods, and applications
- Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
- Cavity optomechanics using an optically levitated nanosphere
- Brownian Carnot engine
- Optimal finite-time processes in stochastic thermodynamics
- Levitodynamics: Levitation and control of microscopic objects in vacuum
- Speed Limit for Classical Stochastic Processes
- Exponentially faster cooling in a colloidal system
- Engineered swift equilibration of a Brownian particle
- Stochastic thermodynamic interpretation of information geometry
- Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
- Observation of radiation torque shot noise on an optically levitated nanodumbbell
- Thermodynamics of continuous non-Markovian feedback control
- Minimal dissipation in processes far from equilibrium
- Thermal bath Engineering for Swift Equilibration
- Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport
- Fast equilibrium switch of a micro mechanical oscillator
- Finite-time adiabatic processes: derivation and speed limit
- Fast forward approach to stochastic heat engine
- Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator
- Optimal finite-time Brownian Carnot engine
- Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- Nonequilibrium control of thermal and mechanical changes in a levitated system
- Optimising the relaxation route with optimal control
- Optimal protocols and universal time-energy bound in Brownian thermodynamics
- Thermal brachistochrone for harmonically confined Brownian particles
- Harvesting information to control non-equilibrium states of active matter
- Optimal finite-time heat engines under constrained control
- Optimizing Brownian heat engine with shortcut strategy
- Instantaneous equilibrium Transport for Brownian systems under time-dependent temperature and potential variations: Reversibility, Heat and work relations, and Fast Isentropic process
Cited by in corpus (5)
- Shortcuts of freely relaxing systems using equilibrium physical observables
- Non-equilibrium memory effects: granular fluids and beyond
- Tailoring bistability in optical tweezers with vortex beams and spherical aberration
- Minimum time connection between non-equilibrium steady states: the Brownian gyrator
- Brownian Fluctuations of a non-confining potential