A two-species model of a two-dimensional sandpile surface: a case of asymptotic roughening

被引：0
作者：
Chakrabortty, Bandan [1 ]
Mehta, Anita [1 ]
机构：
[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India
来源：
GRANULAR MATTER | 2012年 / 14卷 / 04期
关键词：
Surface roughening; Logarithmic scaling; Criticality; GRANULAR-MATERIALS; GROWTH; AVALANCHES; DYNAMICS; FLOWS;
D O I：
10.1007/s10035-012-0350-3
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present and analyze a model of an evolving sandpile surface in (2 + 1) dimensions where the dynamics of mobile grains (rho(x, t)) and immobile clusters (h(x, t)) are coupled. Our coupling models the situation where the sandpile is flat on average, so that there is no bias due to gravity. We find anomalous scaling: the expected logarithmic smoothing at short length and time scales gives way to roughening in the asymptotic limit, where novel and non-trivial exponents are found.
引用
收藏
页码：523 / 529
页数：7
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