Nonequilibrium liquid theory for sheared granular liquids

被引：4

作者：

Hayakawa, Hisao ^{[1
]}

Chong, Song-Ho ^{[2
]}

Otsuki, Michio ^{[3
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[2] Inst Mol Sci, Okazaki, Aichi 4448585, Japan

[3] Aoyama Gakuin Univ, Dept Phys & Math, Sagamihara, Kanagawa 2298558, Japan

来源：

IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS | 2010年 / 1227卷

关键词：

Sheared Granular Liquids; generalized Green-Kubo formula; Liquid Theory; MODE-COUPLING THEORY; GREEN-KUBO RELATIONS; KINETIC-THEORY; HARD-SPHERES; TRANSITION; FLOWS; DYNAMICS; GLASS; GAS;

D O I：

10.1063/1.3435390

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A nonequilibrium liquid theory for uniformly sheared granular liquids is developed starting from SLLOD equations. We derive a generalized Green-Kubo formula and demonstrate that it yields the nonequilibrium steady-state average which is essentially independent of the choice of the initial condition. It is also shown that the fluctuating hydrodynamics can be derived from Mori-type equations for density and current-density fluctuations if one considers a weak-shear and small-dissipation limit along with the Markovian approximation.

引用

页码：19 / +

页数：2

共 47 条

[1] Approach to jamming in an air-fluidized granular bed [J].

Abate, A. R. ;

Durian, D. J. .

PHYSICAL REVIEW E, 2006, 74 (03)

[2] Topological persistence and dynamical heterogeneities near jamming [J].

Abate, A. R. ;

Durian, D. J. .

PHYSICAL REVIEW E, 2007, 76 (02)

[3]

Balucani U., 1994, Dynamics of the Liquid State

[4] Hydrodynamic modes, Green-Kubo relations, and velocity correlations in dilute granular gases [J].

Brey, JJ ;

Ruiz-Montero, MJ ;

Maynar, P ;

de Soria, MIG .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2005, 17 (24) :S2489-S2502

[5] Dissipative dynamics for hard spheres [J].

Brey, JJ ;

Dufty, JW ;

Santos, A .

JOURNAL OF STATISTICAL PHYSICS, 1997, 87 (5-6) :1051-1066

[6]

Brilliantov N. V., 2004, KINETIC THEORY GRANU

[7]

CHONG SH, PROG THEOR P S UNPUB, P78001

[8]

CHONG SH, UNPUB

[9]

CHONG SH, ARXIV09061930, P78001

[10] Nonequilibrium mode-coupling theory for uniformly sheared systems [J].

Chong, Song-Ho ;

Kim, Bongsoo .

PHYSICAL REVIEW E, 2009, 79 (02)

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