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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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Cite this article: |
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 p c. The origin is that there is a finite possibility that only one endpoint takes the global minimum energy for p c. 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.
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Keywords:
64.60.Ak
05.40.Fb
05.70.Fh
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Published: 01 December 2005
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