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Maximum-entropy closure of hydrodynamic moment hierarchies including correlations

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Maximum-entropy closure of hydrodynamic moment hierarchies including correlations. / Hughes, K.H.; Burghardt, I.
In: Journal of Chemical Physics, Vol. 136, No. 21, Article 214109, 07.06.2012.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Hughes, KH & Burghardt, I 2012, 'Maximum-entropy closure of hydrodynamic moment hierarchies including correlations', Journal of Chemical Physics, vol. 136, no. 21, Article 214109. https://doi.org/10.1063/1.4720568

APA

Hughes, K. H., & Burghardt, I. (2012). Maximum-entropy closure of hydrodynamic moment hierarchies including correlations. Journal of Chemical Physics, 136(21), Article Article 214109. https://doi.org/10.1063/1.4720568

CBE

Hughes KH, Burghardt I. 2012. Maximum-entropy closure of hydrodynamic moment hierarchies including correlations. Journal of Chemical Physics. 136(21):Article Article 214109. https://doi.org/10.1063/1.4720568

MLA

Hughes, K.H. and I. Burghardt. "Maximum-entropy closure of hydrodynamic moment hierarchies including correlations". Journal of Chemical Physics. 2012. 136(21). https://doi.org/10.1063/1.4720568

VancouverVancouver

Hughes KH, Burghardt I. Maximum-entropy closure of hydrodynamic moment hierarchies including correlations. Journal of Chemical Physics. 2012 Jun 7;136(21):Article 214109. doi: 10.1063/1.4720568

Author

Hughes, K.H. ; Burghardt, I. / Maximum-entropy closure of hydrodynamic moment hierarchies including correlations. In: Journal of Chemical Physics. 2012 ; Vol. 136, No. 21.

RIS

TY - JOUR

T1 - Maximum-entropy closure of hydrodynamic moment hierarchies including correlations

AU - Hughes, K.H.

AU - Burghardt, I.

PY - 2012/6/7

Y1 - 2012/6/7

N2 - Generalized hydrodynamic moment hierarchies are derived which explicitly include nonequilibrium two-particle and higher-order correlations. The approach is adapted to strongly correlated media and nonequilibrium processes on short time scales which necessitate an explicit treatment of time-evolving correlations. Closure conditions for the extended moment hierarchies are formulated by a maximum-entropy approach, generalizing related closure procedures for kinetic equations. A self-consistent set of nonperturbative dynamical equations are thus obtained for a chosen set of single-particle and two-particle (and possibly higher-order) moments. Analytical results are derived for generalized Gaussian closures including the dynamic pair distribution function and a two-particle correction to the current density. The maximum-entropy closure conditions are found to involve the Kirkwood superposition approximation.

AB - Generalized hydrodynamic moment hierarchies are derived which explicitly include nonequilibrium two-particle and higher-order correlations. The approach is adapted to strongly correlated media and nonequilibrium processes on short time scales which necessitate an explicit treatment of time-evolving correlations. Closure conditions for the extended moment hierarchies are formulated by a maximum-entropy approach, generalizing related closure procedures for kinetic equations. A self-consistent set of nonperturbative dynamical equations are thus obtained for a chosen set of single-particle and two-particle (and possibly higher-order) moments. Analytical results are derived for generalized Gaussian closures including the dynamic pair distribution function and a two-particle correction to the current density. The maximum-entropy closure conditions are found to involve the Kirkwood superposition approximation.

U2 - 10.1063/1.4720568

DO - 10.1063/1.4720568

M3 - Article

VL - 136

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 21

M1 - Article 214109

ER -