Transition for Optimal Paths in Bimodal Directed Polymers

Chin. Phys. Lett.

2005, Vol. 22

Issue (12): 3144-3146 DOI:

Original Articles

Transition for Optimal Paths in Bimodal Directed Polymers

WANG Xiao-Hong

Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei 230026

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WANG Xiao-Hong 2005 Chin. Phys. Lett. 22 3144-3146

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Abstract The problem for optimal paths in bimodal directed polymers is studied. It is shown that the distribution of the thermal average position of the endpoints of the optimal paths is discontinuous below the threshold pc. The origin is that there is a finite possibility that only one endpoint takes the global minimum energy for pc. Our results suggest that the percolation threshold for directed percolation is also the critical point of the transition for the possibility that the optimal paths converge to one endpoint.

Keywords: 64.60.Ak 05.40.Fb 05.70.Fh

Published: 01 December 2005

PACS:	64.60.Ak
	05.40.Fb	(Random walks and Levy flights)
	05.70.Fh	(Phase transitions: general studies)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I12/03144

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