Finite-size effects of avalanche dynamics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 6, 2002, Pages 15-

  Eurich, Christian W ^a   Herrmann, J Michael ^b   Ernst, Udo A ^a  

^a UNIVERSITY OF BREMEN   (Germany)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

AVALANCHES (SNOWSLIDES); BOUNDARY CONDITIONS; CORRELATION METHODS; FUNCTIONS; MATHEMATICAL MODELS; SYNCHRONIZATION;

AVALANCHE DYNAMICS; FINITE SYSTEMS; NEURONS; SELF-ORGANIZED CRITICALITY (SOC);

RANDOM PROCESSES;

ARTICLE;

EID: 37649028492     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.066137     Document Type: Article

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49. The term “critical” is applied to finite systems here meaning an approximate power-law behavior; true criticality requires the thermodynamic limit (Formula presented) which will be discussed below.
50. By mapping the variable names (Formula presented) (Formula presented) and (Formula presented) expression (C22) becomes identical to Eq. (36) in Ref. 26.