Mean field model of coagulation and annihilation reactions in a medium of quenched traps: Subdiffusion

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

Volumn 79, Issue 5, 2009, Pages

  Sokolov, I M ^a   Yuste, S B ^b   Ruiz Lorenzo, J J ^b   Lindenberg, Katja ^c  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF EXTREMADURA   (Spain)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANNIHILATION REACTIONS; DISTRIBUTION OF PARTICLES; ESCAPE TIME; MEAN FIELD MODELS; POWER LAW; SUBDIFFUSION; TIME DEPENDENT;

COAGULATION;

MEAN FIELD THEORY;

EID: 67149105916     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.051113     Document Type: Article

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22. We have computed the prefactor in the power-law fit, but it is very difficult to obtain reliable values for it since a small variation in the exponent, e.g., from 0.491 to 0.5, results in a considerable change in the prefactor, e.g. from 1.48(2) to 1.683(2). In any case, since we have obtained the same exponent for both reactions, the prefactors are fully compatible (within statistical error) with the hypothesis c1 (t) =2 c2 (t) for both values of γ.