Solution of a class of one-dimensional reaction-diffusion models in disordered media

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 6, 2001, Pages

  Mobilia, M ^a   Bares, P A ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CORRELATION FUNCTION; CULTURE MEDIUM; DIFFUSION; DYNAMICS; MATHEMATICAL MODEL; REACTION ANALYSIS;

EID: 0035422252     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.064203     Document Type: Article

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32. We have seen that for open systems the (formula presented)’s are quantized according to the special constraints (13). In the thermodynamic limit this constraint is fulfilled, e.g., by (formula presented) (formula presented). The “phase shift” (formula presented) appears in the expression (16) of the density and the correlation functions (for (formula presented) through the parameter (formula presented). The solution of this transcendental equation at smallp leads to (formula presented). Therefore, it is sufficient to assume (formula presented) in the large (formula presented) expansion of the terms contributing to the density and correlation functions.