Glassy dynamics in granular compaction: Sand on random graphs

被引:20
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
PHYSICAL REVIEW E | 2002年 / 65卷 / 03期
关键词
D O I
10.1103/PhysRevE.65.031305
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We discuss the use of a ferromagnetic spin model on a random graph to model granular compaction. A multispin interaction is used to capture the competition between local and global satisfaction of constraints characteristic for geometric frustration. We define an athermal dynamics designed to model repeated taps of a given strength. Amplitude cycling and the effect of permanently constraining a subset of the spins at a given amplitude is discussed. Finally we check the validity of Edwards's hypothesis for the athermal tapping dynamics.
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页数:9
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