When the hotter cools more quickly: mpemba effect in granular fluids

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When the hotter cools more quickly: mpemba effect in granular fluids

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Title: When the hotter cools more quickly: mpemba effect in granular fluids
Author: Lasanta Becerra, Antonio; Vega Reyes, Francisco; Prados Montaño, Antonio; Santos Reyes, Andrés
Abstract: Bajo ciertas condiciones, dos muestras de fluido a diferentes temperaturas iniciales presentan un comportamiento contraintuitivo conocido como el efecto Mpemba: es el sistema más caliente que se enfría antes. Aquí, mostramos que el efecto Mpemba está presente en fluidos granulares, tanto en sistemas de calentamiento uniforme como en sistemas de enfriamiento libre. En ambos casos, el sistema permanece homogéneo y no hay transición de fase. Se proporcionan predicciones analíticas cuantitativas de cómo el sistema debe prepararse inicialmente de manera diferente para observar el efecto Mpemba, confirmándose las predicciones teóricas tanto por la dinámica molecular como por las simulaciones de Monte Carlo. También se discuten las posibles implicaciones de nuestro análisis para otros sistemas.Under certain conditions, two samples of fluid at different initial temperatures present a counterintuitive behavior known as the Mpemba effect: it is the hotter system that cools sooner. Here, we show that the Mpemba effect is present in granular fluids, both in uniformly heated and in freely cooling systems. In both cases, the system remains homogeneous, and no phase transition is present. Analytical quantitative predictions are given for how differently the system must be initially prepared to observe the Mpemba effect, the theoretical predictions being confirmed by both molecular dynamics and Monte Carlo simulations. Possible implications of our analysis for other systems are also discussed.
URI: http://hdl.handle.net/10662/8859
Date: 2017


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