Probabilistic Derivation of Spatiotemporal Correlation Functions in the Hydrodynamic Limit

In this paper, we use probability theory to prove in suitable conditions the equivalence of equilibrium time correlation functions of microscopic density fields with the time correlation functions of local macroscopic density fields evolved by hydrodynamics in (approximate) phenomenological continuum theories of matter. We further discuss a useful and rigorous numerical algorithm, derived from this framework, to compute macroscopic space- and time-dependent behaviors (such as the hydrodynamical one) via molecular dynamics simulations.


Published in:
Journal Of Physical Chemistry B, 120, 8, 1996-2000
Year:
2016
Publisher:
Washington, Amer Chemical Soc
ISSN:
1520-6106
Laboratories:




 Record created 2016-04-01, last modified 2018-01-28


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