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.

Probabilistic Derivation of Spatiotemporal Correlation Functions in the Hydrodynamic Limit / Ciccotti, Giovanni; Bonella, Sara; Ferrario, Mauro; Pierleoni, Carlo. - In: JOURNAL OF PHYSICAL CHEMISTRY. B, CONDENSED MATTER, MATERIALS, SURFACES, INTERFACES & BIOPHYSICAL. - ISSN 1520-6106. - 120(2016), pp. 1996-2000.

Probabilistic Derivation of Spatiotemporal Correlation Functions in the Hydrodynamic Limit

FERRARIO, Mauro;
2016

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.
19-gen-2016
120
1996
2000
Probabilistic Derivation of Spatiotemporal Correlation Functions in the Hydrodynamic Limit / Ciccotti, Giovanni; Bonella, Sara; Ferrario, Mauro; Pierleoni, Carlo. - In: JOURNAL OF PHYSICAL CHEMISTRY. B, CONDENSED MATTER, MATERIALS, SURFACES, INTERFACES & BIOPHYSICAL. - ISSN 1520-6106. - 120(2016), pp. 1996-2000.
Ciccotti, Giovanni; Bonella, Sara; Ferrario, Mauro; Pierleoni, Carlo
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/1098720
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