Large Mpemba-like effect in a gas of inelastic rough hard spheres
Publisher:
American Physical Society
Issued date:
2019-06-01
Citation:
Torrente, A., López-Castaño, M. A., Lasanta, A., Reyes, F. V., Prados, A., & Santos, A. (2019). Large Mpemba-like effect in a gas of inelastic rough hard spheres. Physical Review. E, 99(6–1), 060901.
ISSN:
2470-0045
2470-0053 (online)
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Ciencia, Innovación y Universidades (España)
Agencia Estatal de Investigación (España)
Sponsor:
This work has been supported by the Spanish Ministerio
de Ciencia, Innovación y Universidades and Agencia
Estatal de Investigación Grants (partially financed by the
ERDF) No. MTM2017-84446-C2-2-R (A.L. and A.T.), No.
FIS2016-76359-P (F.V.R. and A.S.), No. FIS2017-84440-C2-
2-P (A.T.), and No. PGC2018-093998-B-I00 (A.P.), and by
the Junta de Extremadura (Spain) Grants No. IB16087 and
No. GR18079 (F.V.R., A.S., and M.L.C.), partially funded by
the ERDF. Use of computing facilities from Extremadura Research
Center for Advanced Technologies (CETA-CIEMAT),
funded by the ERDF, is also acknowledged.
Project:
Gobierno de España. MTM2017-84446-C2-2-R
Gobierno de España. FIS2017-84440-C2-2-P
Gobierno de España. FIS2016-76359-P
Gobierno de España. PGC2018-093998-B-I00
Keywords:
Hard spheres
,
Monte Carlo methods
,
Molecular dynamics
Rights:
©2019 American Physical Society
Abstract:
We report the emergence of a giant Mpemba effect in the uniformly heated gas of inelastic rough hard spheres: The initially hotter sample may cool sooner than the colder one, even when the initial temperatures differ by more than one order of magnitude. In ord
We report the emergence of a giant Mpemba effect in the uniformly heated gas of inelastic rough hard spheres: The initially hotter sample may cool sooner than the colder one, even when the initial temperatures differ by more than one order of magnitude. In order to understand this behavior, it suffices to consider the simplest Maxwellian approximation for the velocity distribution in a kinetic approach. The largeness of the effect stems from the fact that the rotational and translational temperatures, which obey two coupled evolution equations, are comparable. Our theoretical predictions agree very well with molecular dynamics and direct simulation Monte Carlo data.
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