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Updated: Mar 28, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Probabilistic Derivation of Spatiotemporal Correlation Functions in the Hydrodynamic Limit
Giovanni Ciccotti1,2, Sara Bonella3, Mauro Ferrario4
1Dipartimento di Fisica, University of Roma "La Sapienza" , Rome, 00185 Italy.
Abstract:
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.
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