2016/08/08 by S. S. Chari, S. Siva Nasarayya Chari, Ramarao Inguva +4
Materials Science · Mathematics · Physics and Astronomy · #BBGKY hierarchy #Combinatorics #Conservation law #Distribution (mathematics) #Distribution function #Energy (signal processing) #Function (biology) #Hierarchy #Homogeneous #Kinetic energy #Material Dynamics and Properties #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Theoretical and Computational Physics #Truncation (statistics) #cond-mat.stat-mech #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1608.02338
arxiv created 2016/08/08 · openalex publication_date 2016/08/08 · arxiv updated 2016/08/09 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28
We propose a new truncation scheme for Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. We approximate the three particle distribution function f3(1,2,3,t) in terms of f2(1,2,t), f1(3,t) and two point correlation functions \lbrace g2(1,3,t), g2(2,3,t)\rbrace . Further f2 is expressed in terms of f1(1,t) and g2(1,2,t) to close the hierarchy, resulting a set of coupled kinetic equations for f1 and g2. In this paper we show that, for velocity independent correlations, the kinetic equation for f1 reduces to the model proposed by Martys[Martys N S 1999 IJMPC 10 1367-1382]. In the steady state limit, the kinetic equation for g2 reduces to Born-Green-Yvon (BGY) hierarchy for homogeneous density. We also prove that the present scheme respects the energy conservation and under specific circumstances, time symmetry i.e., (dH(t))/(dt) = 0 where H(t) refers to the Boltzmann's H-function.