Study of Kinetic Equation for Non-Ideal Gases Using Lattice Boltzmann Method: Interparticle Forces from BBGKY Hierarchy.

Nasarayya Chari, S. Siva and Inguva, Ramarao and Murthy, K. P. N. (2014) Study of Kinetic Equation for Non-Ideal Gases Using Lattice Boltzmann Method: Interparticle Forces from BBGKY Hierarchy. Journal of Statistical Physics., 157 (1). pp. 113-123. ISSN 1572-9613.

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Abstract

The first equation of the BBGKY hierarchy is closed with a truncation scheme which conserves mass, momentum and total energy. Resulting kinetic equation is solved numerically using the lattice Boltzmann method over an isothermal D2Q9 lattice. The inter particle forces are derived using a density gradient approximation to the collision term of the BBGKY hierarchy and the resulting non-ideal equation of state is calculated. In this paper,we showanalytically that the time rate of change of Boltzmann’sH-function i.e., dH(t) dt is zero for this truncation scheme, implying reversibility in time. Therefore, a BGK term is added to the collision integral to describe the macroscopic irreversibility. Both the local and global H-functions are calculated numerically for significant variations in the density.We also have simulated a switching experiment over this system and obtained the non-equilibrium work distributions.

Item Type: Article
Additional Information: Copy right of this article is belongs to Springer.
Uncontrolled Keywords: Kinetic equation;Non-ideal gases;Lattice Boltzmann;Work fluctuations.
Subjects: Departments at MU > Manipal Centre for Natural Sciences
Depositing User: MCNS Library
Date Deposited: 26 Aug 2014 05:19
Last Modified: 26 Aug 2014 05:21
URI: http://eprints.manipal.edu/id/eprint/140461

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