Non-equilibrium memory effects: granular fluids and beyond

Abstract

In this perspective paper, we look into memory effects in out-of-equilibrium systems. To be concrete, we exemplify memory effects with the paradigmatic case of granular fluids, although extensions to other contexts such as molecular fluids with non-linear drag are also considered. The focus is put on two archetypal memory effects: the Kovacs and Mpemba effects. In brief, the first is related to imperfectly reaching a steady state -- either equilibrium or non-equilibrium, whereas the second is related to reaching a steady state faster despite starting further. Connections to optimal control theory thus naturally emerge and are briefly discussed

arXiv commentPerspective paper for EPL, 7 pages, 6 figures; accepted version, minor revision

References in corpus (49)

• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Memory formation in matter
• 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
• Computer simulation of uniformly heated granular fluids
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
• The Mpemba effect in spin glasses is a persistent memory effect
• Nonmonotonic Aging and Memory Retention in Disordered Mechanical Systems
• Quantum Mpemba effect in a quantum dot with reservoirs
• Kovacs effects in an aging molecular liquid
• Faster uphill relaxation in thermodynamically equidistant temperature quenches
• Pre-Cooling Strategy Allows Exponentially Faster Heating
• Evidence of aging in mean-field spin glass models
• 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
• Nonmonotonic Aging and Memory in a Frictional Interface
• Kovacs-like memory effect in driven granular gases
• Cages and anomalous diffusion in vibrated dense granular media
• Relaxation shortcuts through boundary coupling
• Mpemba effect in molecular gases under nonlinear drag
• Observation of individual tracer atoms in an ultracold dilute gas
• Giant Kovacs-Like Memory Effect for Active Particles
• Mpemba effect in inertial suspensions
• Toward relaxation asymmetry: Heating is faster than cooling
• Surfing on a critical line: Rejuvenation without chaos, Memory without a hierarchical phase space
• Landau Theory for the Mpemba Effect Through Phase Transitions
• Memory effects in a gas of viscoelastic particles
• Finite-time adiabatic processes: derivation and speed limit
• Optimising the relaxation route with optimal control
• Memory effect in uniformly heated granular gases
• Kovacs Effect in a Fragile Glass Model
• Memory effects in the relaxation of the Gaussian trap model
• Kovacs effect in facilitated spin models of strong and fragile glasses
• Thermodynamic speed limits for mechanical work
• Mpemba effect in anisotropically driven inelastic Maxwell gases
• Memory effects in classical and quantum mean-field disordered models
• On the emergence of large and complex memory effects in nonequilibrium fluids
• Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect
• Thermal brachistochrone for harmonically confined Brownian particles
• Optimal time-entropy bounds and speed limits for Brownian thermal shortcuts
• Memory effects in the relaxation of a confined granular gas
• Kovacs-like memory effect in athermal systems: linear response analysis
• Memory effects in glasses: insights into the thermodynamics of out of equilibrium systems revealed by a simple model of the Kovacs effect
• Memory in Non-Monotonic Stress Response of an Athermal Disordered Solid
• Optimal control of uniformly heated granular fluids in linear response
• Linear response in the uniformly heated granular gas
• The Glauber-Ising chain under low-temperature protocols
• Kinetic Theory and Memory Effects of Homogeneous Inelastic Granular Gases under Nonlinear Drag

Cited by in corpus (8)

• Multiple quantum Mpemba effect: exceptional points and oscillations
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Mpemba meets Newton: Exploring the Mpemba and Kovacs effects in the time-delayed cooling law
• Time-delayed Newton's law of cooling with a finite-rate thermal quench: Impact on the Mpemba and Kovacs effects
• The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
• On the optimal relaxation rate for the Metropolis algorithm in one dimension
• Memory Control of Ice Growth During Non-Equilibrium Freezing of Water
• Kinetic glass transition in granular gases and non-linear molecular fluids