Barat, K. ; Karmakar, S. N. ; Chakrabarti, B. K.
(1991)
*Self-avoiding walk connectivity constant and theta point on percolating lattices
*
Journal of Physics A: Mathematical and General, 24
(4).
pp. 851-860.
ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/24/4/017?fromS...

Related URL: http://dx.doi.org/10.1088/0305-4470/24/4/017

## Abstract

The average connectivity constant mu of self-avoiding walks (SAWs) is obtained from exact enumeration of SAWs on Monte Carlo generated percolating clusters in a randomly diluted square lattice. For averages over the (infinite) percolating cluster, mu decreases almost linearly with bond dilution (1-p), where p is the bond occupation concentration. The authors find mu (p_{c})=1.31+or−0.03 at the percolation threshold p_{c} and could not detect any significant difference between mu (p_{c}) and p_{c} mu (1). The variation of theta-point for SAWs on the same lattice with dilution is also estimated, analysing the partition function zeros. Within the limited accuracy of their analysis, its variation with dilution is observed as being quite weak and the theta-point increases somewhat (compared to pure lattice value) near p_{c}; they find a non-vanishing theta point (K_{theta} (p_{c}) equivalent to 0.59, where K_{0}=J/k theta ) on the square lattice percolation cluster at p_{c}.

Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |

ID Code: | 44840 |

Deposited On: | 23 Jun 2011 07:48 |

Last Modified: | 23 Jun 2011 07:48 |

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