Phase transition in the takayasu model with desorption

Majumdar, Satya N. ; Krishnamurthy, Supriya ; Barma, Mustansir (2000) Phase transition in the takayasu model with desorption Physical Review E, E61 (6). pp. 6337-6343. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v61/i6/p6337_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.61.6337

Abstract

We study a lattice model where particles carrying different masses diffuse and coalesce upon contact, and also unit masses adsorb to a site with rate q or desorb from a site with nonzero mass with rate p. In the limit p=0 (without desorption), our model reduces to the well studied Takayasu model where the steady-state single site mass distribution has a power-law tail P(m)∼m for large mass. We show that varying the desorption rate p induces a nonequilibrium phase transition in all dimensions. For fixed q, there is a critical pc(q) such that if p<pc(q), the steady-state mass distribution, P(m)∼m for large m as in the Takayasu case. For p=pc(q), we find P(m)∼mc where τc is a new exponent, while for p>pc(q), P(m)∼exp(-m/m) for large m. The model is studied analytically within a mean-field theory and numerically in one dimension.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society .
ID Code:1403
Deposited On:05 Oct 2010 12:37
Last Modified:16 May 2016 12:32

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