On random graphs and the statistical mechanics of granular matter

被引：34

作者：

Berg, J ^{[1
]}

Mehta, A

机构：

[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

[2] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India

来源：

EUROPHYSICS LETTERS | 2001年 / 56卷 / 06期

关键词：

D O I：

10.1209/epl/i2001-00588-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamics of spins on a random graph with ferromagnetic three-spin interactions is used to model the compaction of granular matter under a series of taps. Taps are modelled as the random flipping of a small fraction of the spins followed by a quench at zero temperature. We find that the density approached during a logarithmically slow compaction the random-close-packing density corresponds to a dynamical phase transition. We discuss the role of cascades of successive spin-flips in this model and link them with density-noise power fluctuations observed in recent experiments.

引用

页码：784 / 790

页数：7

共 31 条

[1] VIBRATED POWDERS - STRUCTURE, CORRELATIONS, AND DYNAMICS [J].

BARKER, GC ;

MEHTA, A .

PHYSICAL REVIEW A, 1992, 45 (06) :3435-3446

[2] TRANSIENT PHENOMENA, SELF-DIFFUSION, AND ORIENTATIONAL EFFECTS IN VIBRATED POWDERS [J].

BARKER, GC ;

MEHTA, A .

PHYSICAL REVIEW E, 1993, 47 (01) :184-188

[3] Edwards' measures for powders and glasses [J].

Barrat, A ;

Kurchan, J ;

Loreto, V ;

Sellitto, M .

PHYSICAL REVIEW LETTERS, 2000, 85 (24) :5034-5037

[4]

BERG JM, UNPUB

[5]

BERTHIER L, CONDMAT0010266

[6] A variational description of the ground state structure in random satisfiability problems [J].

Biroli, G ;

Monasson, R ;

Weigt, M .

EUROPEAN PHYSICAL JOURNAL B, 2000, 14 (03) :551-568

[7]

BIROLI G, CONDMAT0106309

[8]

BOUCHAUD JP, 1997, SPIN GLASSES RANDOM

[9]

Dean DS, 2001, PHYS REV LETT, V86, P5639, DOI 10.1103/PhysRevLett86.5639

[10]

DEAN DS, CONDMAT0106220

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