Mesoscopic simulation of brownian particles confined in harmonic traps and sheared fluids Report as inadecuate




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H. Híjar ;Revista Mexicana de Física 2015, 61 (1)

Author: J. Fernández

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Revista Mexicana de Física ISSN: 0035-001X rmf@ciencias.unam.mx Sociedad Mexicana de Física A.C. México Fernández, J.; Híjar, H. Mesoscopic simulation of Brownian particles confined in harmonic traps and sheared fluids Revista Mexicana de Física, vol.
61, núm.
1, enero-febrero, 2015, pp.
1-13 Sociedad Mexicana de Física A.C. Distrito Federal, México Available in: http:--www.redalyc.org-articulo.oa?id=57036861001 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative RESEARCH REVISTA MEXICANA DE FÍSICA 61 (2015) 1–13 JANUARY-FEBRUARY 2015 Mesoscopic simulation of Brownian particles confined in harmonic traps and sheared fluids J.
Fernández and H.
Hı́jar Grupo de Sistemas Inteligentes, Facultad de Ingenierı́a, Universidad La Salle, Benjamı́n Franklin 47, 06140, D.F., México, e-mail: jaimefernandez@lasallistas.org.mx; humberto.hijar@lasallistas.org.mx Received 13 August 2014; accepted 24 October 2014 We consider the motion of a Brownian particle bound by a harmonic force in a thermal bath driven from equilibrium by a uniform shear imposed externally.
We extend the classical theory of Brownian motion to calculate the probability distribution function for finding the Brownian particle in a phase-space volume element when it is in the presence of the external shear.
We find the explicit form of the reduced distribution for velocities in the stationary limit and show that it becomes anisotropic by extending itself over the direction of the imposed shear.
We also consider the effects of the imposed shear on the time correlation functions of the Brownian particle and show that these quantities acquire contributions depending exclusively on the nonequilibrium state of the solvent, which render them non symmetric and tim...





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