A Langevin Description for Driven Granular Gases

P. Maynar; M. I. García de Soria

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 4, page 87-117
  • ISSN: 0973-5348

Abstract

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The study of the fluctuations in the steady state of a heated granular system is reviewed. A Boltzmann-Langevin description can be built requiring consistency with the equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin equation, Langevin equations for the total energy and the transverse velocity field are derived. The existence of a fluctuation-dissipation relation for the transverse velocity field is also studied.

How to cite

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Maynar, P., and García de Soria, M. I.. "A Langevin Description for Driven Granular Gases." Mathematical Modelling of Natural Phenomena 6.4 (2011): 87-117. <http://eudml.org/doc/222351>.

@article{Maynar2011,
abstract = {The study of the fluctuations in the steady state of a heated granular system is reviewed. A Boltzmann-Langevin description can be built requiring consistency with the equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin equation, Langevin equations for the total energy and the transverse velocity field are derived. The existence of a fluctuation-dissipation relation for the transverse velocity field is also studied. },
author = {Maynar, P., García de Soria, M. I.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {kinetic theory; Boltzmann equation; granular gases; hydrodynamics},
language = {eng},
month = {7},
number = {4},
pages = {87-117},
publisher = {EDP Sciences},
title = {A Langevin Description for Driven Granular Gases},
url = {http://eudml.org/doc/222351},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Maynar, P.
AU - García de Soria, M. I.
TI - A Langevin Description for Driven Granular Gases
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/7//
PB - EDP Sciences
VL - 6
IS - 4
SP - 87
EP - 117
AB - The study of the fluctuations in the steady state of a heated granular system is reviewed. A Boltzmann-Langevin description can be built requiring consistency with the equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin equation, Langevin equations for the total energy and the transverse velocity field are derived. The existence of a fluctuation-dissipation relation for the transverse velocity field is also studied.
LA - eng
KW - kinetic theory; Boltzmann equation; granular gases; hydrodynamics
UR - http://eudml.org/doc/222351
ER -

References

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