Self-segregation in chemical reactions, diffusion in a catalytic environment and an ideal polymer near a defect

Datta, P. K. ; Jayannavar, A. M. (1992) Self-segregation in chemical reactions, diffusion in a catalytic environment and an ideal polymer near a defect Pramana - Journal of Physics, 38 (3). pp. 257-269. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/j_archive/pramana/38/3/257-26...

Related URL: http://dx.doi.org/10.1007/BF02875372

Abstract

We study a family of equivalent continuum models in one dimension. All these models map onto a single equation and include simple chemical reactions, diffusion in presence of a trap or a source and an ideal polymer chain near an attractive or repulsive site. We have obtained analytical results for the survival probability, total growth rate, statistical properties of nearest-neighbour distribution between a trap and unreacted particle and mean-squared displacement of the polymer chain. Our results are compared with the known asymptotic results in the theory of discrete random walks on a lattice in presence of a defect.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Diffusion; Survival Probability; Nearest-neighbour Density Distribution; Partial Trap; Self-segregation
ID Code:14880
Deposited On:12 Nov 2010 13:24
Last Modified:16 May 2016 23:51

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