Mpemba-like effect protocol for granular gases of inelastic and rough hard disks
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 stoch...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-10-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.971671/full |
| _version_ | 1798020804360798208 |
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| author | Alberto Megías Andrés Santos Andrés Santos |
| author_facet | Alberto Megías Andrés Santos Andrés Santos |
| author_sort | Alberto Megías |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T17:03:40Z |
| format | Article |
| id | doaj.art-87667f583cfb4ac6bca06741676db0bd |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-11T17:03:40Z |
| publishDate | 2022-10-01 |
| publisher | Frontiers Media S.A. |
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| series | Frontiers in Physics |
| spelling | doaj.art-87667f583cfb4ac6bca06741676db0bd2022-12-22T04:13:05ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-10-011010.3389/fphy.2022.971671971671Mpemba-like effect protocol for granular gases of inelastic and rough hard disksAlberto Megías0Andrés Santos1Andrés Santos2Departamento de Física, Universidad de Extremadura, Badajoz, SpainDepartamento de Física, Universidad de Extremadura, Badajoz, SpainInstituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, Badajoz, SpainWe 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.https://www.frontiersin.org/articles/10.3389/fphy.2022.971671/fullgranular gaseskinetic theoryMpemba effectdirect simulation Monte Carlomolecular dynamics |
| spellingShingle | Alberto Megías Andrés Santos Andrés Santos Mpemba-like effect protocol for granular gases of inelastic and rough hard disks Frontiers in Physics granular gases kinetic theory Mpemba effect direct simulation Monte Carlo molecular dynamics |
| title | Mpemba-like effect protocol for granular gases of inelastic and rough hard disks |
| title_full | Mpemba-like effect protocol for granular gases of inelastic and rough hard disks |
| title_fullStr | Mpemba-like effect protocol for granular gases of inelastic and rough hard disks |
| title_full_unstemmed | Mpemba-like effect protocol for granular gases of inelastic and rough hard disks |
| title_short | Mpemba-like effect protocol for granular gases of inelastic and rough hard disks |
| title_sort | mpemba like effect protocol for granular gases of inelastic and rough hard disks |
| topic | granular gases kinetic theory Mpemba effect direct simulation Monte Carlo molecular dynamics |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.971671/full |
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