Shortcuts of freely relaxing systems using equilibrium physical observables

Abstract

Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to shorten the time needed to cool down (or heat up) a system. Though, a strategy to design these effects in mesoscopic systems is missing. We bring forward a description that allows us to formulate such strategies, and, along the way, makes natural these paradoxical behaviors. In particular, we study the evolution of macroscopic physical observables of systems freely relaxing under the influence of one or two instantaneous thermal quenches. The two crucial ingredients in our approach are timescale separation and a nonmonotonic temperature evolution of an important state function. We argue that both are generic features near a first-order transition. Our theory is exemplified with the one-dimensional Ising model in a magnetic field using analytic results and numerical experiments.

arXiv commentpdflatex. Main text (6pp + 5 pdf figures) + Supplemental Material (7pp + 5 pdf figures). Some minor changes w.r.t. v1. Final version

References in corpus (26)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Measuring thermodynamic length
• Anomalous cooling and heating - the Mpemba effect and its inverse
• When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
• Exponentially faster cooling in a colloidal system
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
• The Mpemba index and anomalous relaxation
• The Mpemba effect in spin glasses is a persistent memory effect
• Stochastic time-evolution, information geometry and the Cramer-Rao Bound
• Quantum Mpemba effect in a quantum dot with reservoirs
• Lindblad dissipative dynamics in presence of phase coexistence
• Faster uphill relaxation in thermodynamically equidistant temperature quenches
• Pre-Cooling Strategy Allows Exponentially Faster Heating
• Large Mpemba-like effect in a gas of inelastic rough hard spheres
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Anomalous heating in a colloidal system
• Kovacs-like memory effect in driven granular gases
• Paths towards equilibrium in molecular systems: a mesoscopic Mpemba-like effect in water
• Should a hotter paramagnet transform quicker to a ferromagnet? Monte Carlo simulation results for Ising model
• Anomalous cooling and overcooling of active systems
• Memory effects in a gas of viscoelastic particles
• 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
• Optimal time-entropy bounds and speed limits for Brownian thermal shortcuts

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