| Autor: |
Murthy, K., Chari, S., Inguva, Ramarao |
| Předmět: |
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| Zdroj: |
Journal of Statistical Physics; Oct2014, Vol. 157 Issue 1, p113-123, 11p |
| Abstrakt: |
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 show analytically that the time rate of change of Boltzmann's H-function i.e., $$\frac{dH \left( t \right) }{dt}$$ 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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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