Pre-Cooling Strategy Allows Exponentially Faster Heating

Abstract

What is the fastest way to heat a system which is coupled to a temperature controlled oven? The intuitive answer is to use only the hottest temperature available. However, we show that often it is possible to achieve an exponentially faster heating, and propose a strategy to find the optimal protocol. Surprisingly, this protocol can have a pre-cooling stage -- cooling the system before heating it shortens the heating time significantly. This approach can be applied to many-body systems, as we demonstrate in the 2D antiferromagnet Ising model.

Supp. Info. is attached as a separated file

References in corpus (16)

• The thermodynamics of prediction
• Anomalous cooling and heating - the Mpemba effect and its inverse
• When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
• Engineered swift equilibration of a Brownian particle
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• The Mpemba index and anomalous relaxation
• The Mpemba effect in spin glasses is a persistent memory effect
• Lindblad dissipative dynamics in presence of phase coexistence
• Performance of shortcut-to-adiabaticity quantum engines
• Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
• Large Mpemba-like effect in a gas of inelastic rough hard spheres
• Paths towards equilibrium in molecular systems: a mesoscopic Mpemba-like effect in water
• Geometric Heat Engines Featuring Power that Grows with Efficiency
• Accurate discretization of advection-diffusion equations
• Time-ordering and a generalized Magnus expansion
• Entropy Inflection and Invisible Low-Energy States: Defensive Alliance Example

Cited by in corpus (55)

• Exponentially faster cooling in a colloidal system
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
• Observation of quantum strong Mpemba effect
• Thermodynamics of the quantum Mpemba effect
• Anomalous heating in a colloidal system
• Mpemba effect in driven granular Maxwell gases
• The quantum Mpemba effects
• Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
• Relaxation shortcuts through boundary coupling
• Should a hotter paramagnet transform quicker to a ferromagnet? Monte Carlo simulation results for Ising model
• Anomalous cooling and overcooling of active systems
• Mpemba effect in inertial suspensions
• Eigenvalue crossing as a phase transition in relaxation dynamics
• Toward relaxation asymmetry: Heating is faster than cooling
• Memory effects in a gas of viscoelastic particles
• Landau Theory for the Mpemba Effect Through Phase Transitions
• Thermomajorization Mpemba Effect
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Shortcuts of freely relaxing systems using equilibrium physical observables
• Mpemba effect in an anisotropically driven granular gas
• Optimising the relaxation route with optimal control
• Quantum Mpemba Effects from Symmetry Perspectives
• Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics
• Anomalous thermal relaxation of Langevin particles in a piecewise-constant potential
• Mpemba effect in a Langevin system: population statistics, metastability and other exact results
• Mpemba effect in anisotropically driven inelastic Maxwell gases
• Pontus-Mpemba effects
• Intrinsic Quantum Mpemba Effect in Markovian Systems and Quantum Circuits
• Strong non-exponential relaxation and memory effects in a fluid with non-linear drag
• Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect
• Accelerating Quantum Relaxation via Temporary Reset: A Mpemba-Inspired Approach
• Non-equilibrium memory effects: granular fluids and beyond
• Critical dynamics and phase transition of a strongly interacting warm spin-gas
• Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways
• Equilibrium free energy differences from a linear nonequilibrium equality
• Optimal control of uniformly heated granular fluids in linear response
• Asymmetries of thermal processes in open quantum systems
• Speeding up Pontus-Mpemba effects via dynamical phase transitions
• Fast Functionalization with High Performance in the Autonomous Information Engine
• Designing Autonomous Maxwell Demon via Stochastic Resetting
• A resource theoretical unification of Mpemba effects: classical and quantum
• Relaxation Control of Open Quantum Systems
• Mpemba effect in the relaxation of an active Brownian particle in a trap without metastable states
• Universal exotic dynamics in critical mesoscopic systems: Simulating the square root of Avogadro's number of spins
• Predicting the Mpemba Effect Using Machine Learning
• Exponential Change of Relaxation Rate by Quenched Disorder
• Quantum Pontus-Mpemba Effects in Real and Imaginary-time Dynamics
• Mpemba effect on non-equilibrium active Markov chains
• Massive-Scale Simulations of 2D Ising and Blume-Capel Models on Rack-Scale Multi-GPU Systems
• Accelerating the approach of dissipative quantum spin systems towards stationarity through global spin rotations
• Accelerating the heat diffusion: fast thermal relaxation of a microcantilever
• Relaxation-speed crossover in anharmonic potentials
• On the optimal relaxation rate for the Metropolis algorithm in one dimension
• Inducing and optimizing Markovian Mpemba effect with stochastic reset
• Universal trade-off between irreversibility and intrinsic timescale in thermal relaxation with applications to thermodynamic inference