Reply to "comment on 'Self-organized criticality and absorbing states: Lessons from the Ising model'"

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 4, 2008, Pages

  Pruessner, Gunnar ^a   Peters, Ole ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; STATISTICAL MECHANICS;

ABSORBING STATE MODELS; DISSIPATION MECHANISM; SELF ORGANIZED CRITICALITY;

ISING MODEL;

EID: 42949107507     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.048102     Document Type: Review

References (10)

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9. M. Alava, in Advances in Condensed Matter and Statistical Physics, edited by, E. Korutcheva, and, R. Cuerno, (Nova Science Publishers, New York, 2004).
10. As long as the model is conservative, individual particles effectively perform a random walk and the first moment of the avalanche size is a function of the spatial distribution of the driving. For example, if a one-dimensional model is driven at site x0 with two open boundaries, then the first moment is (L+1- x0) x0, where L is the system size. By changing x0 as a power law of L, the exponent γ1 changes accordingly. For example, x0 =L produces γ1 =3/2.