Should a hotter paramagnet transform quicker to a ferromagnet? Monte Carlo simulation results for Ising model

Abstract

For quicker formation of ice, before inserting inside a refrigerator, heating up of a body of water can be beneficial. We report first observation of a counterpart of this intriguing fact, referred to as the Mpemba effect (ME), during ordering in ferromagnets. By performing Monte Carlo simulations of a generic model, we have obtained results on relaxation of systems that are quenched to sub-critical state points from various temperatures above the critical point. For a fixed final temperature, a system with higher starting temperature equilibrates faster than the one prepared at a lower temperature, implying the presence of ME. The observation is extremely counter-intuitive, particularly because of the fact that the model has no in-built frustration or metastability that typically is thought to provide ME. Via the calculations of nonequilibrium properties concerning structure and energy, we quantify the role of critical fluctuations behind this fundamental as well as technologically relevant observation.

This five-page article on Mpemba Effect contains 5 Figures

References in corpus (3)

• Exponentially faster cooling in a colloidal system
• Static and Dynamic Critical Behavior of a Symmetrical Binary Fluid: A Computer Simulation
• Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model

Cited by in corpus (21)

• Mpemba effects in open nonequilibrium quantum systems
• Relaxation shortcuts through boundary coupling
• Anomalous cooling and overcooling of active systems
• Landau Theory for the Mpemba Effect Through Phase Transitions
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Shortcuts of freely relaxing systems using equilibrium physical observables
• 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
• Mpemba meets Newton: Exploring the Mpemba and Kovacs effects in the time-delayed cooling law
• Time-dependent homogeneous states of binary granular suspensions
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Asymmetries of thermal processes in open quantum systems
• Fast Functionalization with High Performance in the Autonomous Information Engine
• Critical Fluctuations at Finite-Time Dynamical Phase Transition
• Mpemba effect in the relaxation of an active Brownian particle in a trap without metastable states
• Mpemba effect on non-equilibrium active Markov chains
• The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
• Mpemba-like effect protocol for granular gases of inelastic and rough hard disks
• Memory Control of Ice Growth During Non-Equilibrium Freezing of Water
• Thermal versus entropic Mpemba effect in molecular gases with nonlinear drag