Memory effects in a gas of viscoelastic particles

Mompó, Emanuel; López-Castaño, Miguel A.; Torrente, Aurora; Reyes, Francisco Vega; Lasanta, Antonio

doi:10.1063/5.0050804

Cited by 24 publications

(12 citation statements)

References 61 publications

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“…Knowledge of the Mpemba Effect can be applied when studying memory effects in Refs. [26][27][28][29][30].…”

Section: B Applications and Impactmentioning

confidence: 99%

Predicting the Mpemba Effect Using Machine Learning

Amorim¹,

Wisely²,

Buckley³

et al. 2022

Preprint

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The Mpemba Effect -when a system that is further from equilibrium relaxes faster than a system that is closer -can be studied with Markovian dynamics in a non-equilibrium thermodynamics framework. The Markovian Mpemba Effect can be observed in a variety of systems including the Ising model. We demonstrate that the Markovian Mpemba Effect can be predicted in the Ising model with several machine learning methods: the decision tree algorithm, neural networks, linear regression, and non-linear regression with the LASSO method. The effectiveness of these methods are compared. Additionally, we find that machine learning methods can be used to accurately extrapolate to data outside the range which they were trained. Neural Networks can even predict the existence of the Mpemba Effect when they are trained only on data in which the Mpemba Effect does not occur. This indicates that information about the effect is contained even in systems where it is not present. All of these results demonstrate that the Mpemba Effect can be predicted in complex, computationally expensive systems, without performing full calculations.

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“…Knowledge of the Mpemba Effect can be applied when studying memory effects in Refs. [26][27][28][29][30].…”

Section: B Applications and Impactmentioning

confidence: 99%

Predicting the Mpemba Effect Using Machine Learning

Amorim¹,

Wisely²,

Buckley³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In recent years the term "Mpemba effect" was extended, and it is now used to describe a wide range of non-monotonic relaxation phenomena. These include experimental observations of hot systems that undergo a phase transition before cold systems in non-water substances (Polymers [10], Clathrate hydrates [11]), as well as in other types of phase transitions (Magnetic transition in alloys [12] and various spin models [13][14][15][16][17]), relaxation towards equilibrium without a phase transition that is non-monotonous in the initial temperature [18][19][20][21][22] and similar effects in relaxation towards a nonequilibrium steady states in driven molecular gas models [23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Landau Theory for the Mpemba Effect Through Phase Transitions

Holtzman¹,

Raz²

2022

Preprint

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The Mpemba effect describes the situation in which a hot system cools faster than an identical copy that is initiated at a colder temperature. In many of the experimental observations of the effect, e.g. in water and clathrate hydrates, it is defined by the phase transition timing. However, none of the theoretical investigations so far considered the timing of the phase transition, and most of the abstract models used to explore the Mpemba effect do not have a phase transition. We use the phenomenological Landau theory for phase transitions to identify the second order phase transition time, and demonstrate with a concrete example that a Mpemba effect can exist in such models.

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“…There have been two main approaches to the ME: the kinetic-theory or "thermal" approach [36][37][38][39][40][41][42][43][44][45][46] and the stochastic-process (or thermodynamics) or "entropic" approach [50][51][52][53][54][55][60][61][62]. In the thermal approach, kinetic theory makes it possible to define in a natural way an out-of-equilibrium time-dependent temperature T (t) (basically, the average kinetic energy).…”

Section: Introductionmentioning

confidence: 99%

“…In a more general context, the ME can be recast as "the initially further from equilibrium relaxes faster"with the separation from equilibrium being defined in a suitable way, see below. With such an interpretation, Mpemba-like effects have been investigated in a large variety of many-body systems: molecular gases [36,37], mixtures [38], granular gases [39][40][41][42][43][44], inertial suspensions [45,46], spin glasses [47], carbon nanotube resonators [48], clathrate hydrates [49], Markovian models [50][51][52][53][54], active systems [55], Ising models [56,57], non-Markovian mean-field systems [58,59], or quantum systems [60]. Also, it has been experimentally observed in colloids [61,62].…”

Section: Introductionmentioning

confidence: 99%

Thermal versus entropic Mpemba effect in molecular gases with nonlinear drag

Megías,

Santos,

Prados

2022

Preprint

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Loosely speaking, the Mpemba effect appears when the hotter cools sooner or, in a more abstract way, when the further from equilibrium relaxes faster. In this paper, we investigate the Mpemba effect in a molecular gas with nonlinear drag, both analytically-by employing the tools of kinetic theory-and numerically-direct simulation Monte Carlo of the kinetic equation and event-driven molecular dynamics. The Mpemba effect is analyzed via two alternative routes, recently considered in the literature. First, the kinetic or thermal route, in which the emergence of the Mpemba effect is marked by the crossing of the evolution curves of the kinetic temperature (average kinetic energy). Second, the stochastic thermodynamics or entropic route, in which the emergence of the Mpemba effect is marked by the crossing of the distance to equilibrium in probability space. A nonmutual correspondence between the thermal and entropic Mpemba effects is found in a certain region of parameters. Our theoretical description, which involves an extended Sonine approximation in which not only the excess kurtosis but also the sixth cumulant is retained, gives an excellent account of the behavior observed in simulations.

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Memory effects in a gas of viscoelastic particles

Cited by 24 publications

References 61 publications

Predicting the Mpemba Effect Using Machine Learning

Predicting the Mpemba Effect Using Machine Learning

Landau Theory for the Mpemba Effect Through Phase Transitions

Thermal versus entropic Mpemba effect in molecular gases with nonlinear drag

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