Non-poissonian statistics in a low-density fluid

Journal of Physical Chemistry B

Volumn 112, Issue 17, 2008, Pages 5412-5415

  Visco, Paolo ^a,b   Van Wijland, Frédéric ^c   Trizac, Emmanuel ^a,b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b CNRS   (France)

^c UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARSENIC COMPOUNDS; MOLECULAR DYNAMICS; POISSON DISTRIBUTION; QUANTUM CHEMISTRY; STATISTICAL METHODS;

AMERICAN CHEMICAL SOCIETY (ACS); COLLISIONAL STATISTICS; DENSITY LIMITS; FREE FLIGHT; HARD SPHERE FLUIDS; MOLECULAR DYNAMICS SIMULATIONS (MDS); POISSON LAW; POISSONIAN STATISTICS; TAGGED PARTICLE;

DYNAMICS;

EID: 47149103257     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp800333h     Document Type: Article

References (19)

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5. The fact that, lis not a Poisson variable has already been reported in the literature (see, e.g., Lue, L. J. Chem. Phys. 2005, 122, 044513 for numerical data on hard spheres), but to the best of our knowledge, no analytical results have been obtained.
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13. This problem also pertains to the definition of time in directsimulation Monte Carlo algorithms, as discussed in Koura, K. Phys. Fluids 1986, 29, 3509.
14. Ernst, M. H. Phys. Rep. 1981, 78, 1.
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17. Conversely, the minimum of r(v) is the relevant quantity for the long-time behavior of eq 4; it is reached at v = 0 (see the inset of Figure 1), where r(0) = ω/√2. This explains the √2 factors appearing in eq 6.
18. Visco, P.; van Wijland, F.; Trizac, E. To be submitted for publication.
19. More precisely, it canbe shown that, at late times, f̂(v,λ,t) takes the asymptotic form exp[μ(λ)t]f̃(v,λ), so that the time dependence factorizes from the v variable, which explains why T(λ) is t-independent. The requirement that μ(0) = 0 ensures that f̂(v,0,t) is also time independent.