Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics

Pemartín, I. González-Adalid; Mompó, Emanuel; Lasanta, Antonio; Martı́n-Mayor, V.; Salas, José Valero

doi:10.1103/physreve.104.044114

Cited by 16 publications

(8 citation statements)

References 41 publications

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“…Though a clear understanding is not obtained yet for water, similar questions have recently been asked in a rather general context, ,− including in colloidal, granular, and active matter systems. In the case of water, there are discussions of associating the effect with the cooling rate, evaporation, and related consequences .…”

Section: Introductionmentioning

confidence: 98%

Perspectives on a Few Puzzles in Phase Transformations: When Should the Farthest Reach the Earliest?

Das

2023

Langmuir

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We briefly review the facts concerning two important aspects of phase transitions, namely, critical and coarsening phenomena. A discussion of the universal features, highlighting the current challenges, is provided. Following this, we elaborate on a topic of much recent interest, viz., the Mpemba effect, a puzzle that found mention even in the works of Aristotle. After a description of the debated case of faster freezing of a hotter sample of liquid water, into ice, than a colder one, when quenched to the same subzero temperature, we discuss more modern interest. There one asks, should a hotter body of a material equilibrate faster than a colder one when quenched to a common lower temperature? Within this broad scenario, we focus on magnetic systems. A surprising observation of the effect during the para-to ferromagnetic transition, in a simple model system, viz., the nearest-neighbor Ising model, without any built-in frustration, is described. Some associated future directions are pointed out. A discussion is provided by considering the effect as a kinetic outcome in the background of critical phenomena. A picture is drawn by putting emphasis on the role of spatial correlations in the initial configurations alongside discussing the importance of frustration and metastability in evolution from one state to another. In connection with dynamical freezing, concerning metastability, we have introduced the complex Ginzburg−Landau equation that has relevance in phase transitions, chemical oscillations, and elsewhere. For this model and a few other cases also, we have described how a lack of order or correlation in certain parameters can lead to quicker evolution. (4) Perspective pubs.acs.org/Langmuir

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Section: Introductionmentioning

confidence: 98%

Perspectives on a Few Puzzles in Phase Transformations: When Should the Farthest Reach the Earliest?

Das

2023

Langmuir

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“…However, the effect is not limited to water and has been experimentally shown to exist in many other physical systems such as magnetic alloys [7], clathrate hydrates [8], polylactides [9], carbon nanotube resonators [10] and colloidal systems [11][12][13], thus suggesting that the Mpemba effect is a much more general anomalous relaxation phenomenon that can be studied in numerous physical systems. Theoretical studies on the Mpemba effect have focused on spin systems [14][15][16][17][18][19], systems undergoing phase transitions [17,20,21], Markovian systems with only a few states [22,23], systems of single particle diffusing in a potential [24][25][26][27], active systems [28], spin glasses [29], molecular gases in contact with a thermal reservoir [30][31][32][33], quantum systems [34] and granular systems [35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Mpemba effect in driven granular gases: role of distance measures

Biswas¹,

Prasad²,

Rajesh³

2023

Preprint

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Mpemba effect refers to the counterintuitive effect where a system which is initially further from the final steady state equilibrates faster than an identical system that is initially closer. The closeness to the final state is defined in terms of a distance measure. For driven granular systems, the Mpemba effect has been illustrated in terms of an ad-hoc measure of mean kinetic energy as the distance function. In this paper, by studying four different distance measures based on the mean kinetic energies as well as velocity distribution, we show that the Mpemba effect depends on the definition of the measures.

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“…Whereas the original tested system for ME has been water , it is still under discussion and no consensus about its occurrence has been agreed [38][39][40]. In fact, the statistical physics community is currently paying attention to Mpemba-like effects that have been described in a huge variety of complex systems in the last decades, such as ideal gases [41], molecular gases [42][43][44], gas mixtures [45], granular gases [46][47][48][49][50][51][52], inertial suspensions [53,54], spin glasses [55], Ising models [56][57][58], non-Markovian mean-field systems [59,60], carbon nanotube resonators [61], clathrate hydrates [62], active systems [63], or quantum systems [64]. The theoretical approach to the fundamentals of the problem has been done via different routes like Markovian statistics [65][66][67][68][69] or Landau's theory of phase transitions [70].…”

Section: Introductionmentioning

confidence: 99%

Mpemba-like effect protocol for granular gases of inelastic and rough hard disks

Megías

Santos

2022

Front. Phys.

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We study the conditions under which a Mpemba-like effect emerges in granular gases of inelastic and rough hard disks driven by a class of thermostats characterized by the splitting of the noise intensity into translational and rotational counterparts. Thus, granular particles are affected by a stochastic force and a stochastic torque, which inject translational and rotational energy, respectively. We realize that a certain choice of a thermostat of this class can be characterized just by the total intensity and the fraction of noise transferred to the rotational degree of freedom with respect to the translational ones. Firstly, Mpemba effect is characterized by the appearance of a crossing between the temperature curves of the considered samples. Later, an overshoot of the temperature evolution with respect to the steady-state value is observed and the mechanism of Mpemba effect generation is changed. The choice of parameters allows us to design plausible protocols based on these thermostats for generating the initial states to observe the Mpemba-like effect in experiments. In order to obtain explicit results, we use a well-founded Maxwellian approximation for the evolution dynamics and the steady-state quantities. Finally, theoretical results are compared with direct simulation Monte Carlo and molecular dynamics results, and a very good agreement is found.

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Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics

Cited by 16 publications

References 41 publications

Perspectives on a Few Puzzles in Phase Transformations: When Should the Farthest Reach the Earliest?

Perspectives on a Few Puzzles in Phase Transformations: When Should the Farthest Reach the Earliest?

Mpemba effect in driven granular gases: role of distance measures

Mpemba-like effect protocol for granular gases of inelastic and rough hard disks

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