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research article
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.
Type
research article
Web of Science ID
WOS:000371562700065
Authors
Ciccotti, Giovanni
•
Bonella, Sara
•
Ferrario, Mauro
•
Pierleoni, Carlo
Publication date
2016
Publisher
Published in
Volume
120
Issue
8
Start page
1996
End page
2000
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 1, 2016
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