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Cluster-cluster aggregation with random bond breaking

R Wessel and R C Ball

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It is argued that a model of cluster-cluster aggregation with random bond breaking leads to an equilibrium regime in which all configurations with the same number of bonds have equal probability to occur. Thus the authors' mdoel of cluster-cluster aggregation with random bond breaking and branched polymers (lattice animals) belong to the same universality class. The results are compared with numerical observations.


PACS

05.40.Fb Random walks and Levy flights

05.70.Ln Nonequilibrium and irreversible thermodynamics

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)

MSC

82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)

82B24 Interface problems; diffusion-limited aggregation

82B35 Irreversible thermodynamics, including Onsager-Machlup theory (See also 92E20)

Subjects

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 4 (21 February 1993)



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