scholarly journals Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

2018 ◽  
Vol 397 ◽  
pp. 1-64 ◽  
Author(s):  
Yan V. Fyodorov ◽  
Pierre Le Doussal ◽  
Alberto Rosso ◽  
Christophe Texier
Keyword(s):  
Random Potential ◽  
Directed Polymer ◽  
Number Of Equilibria

ON THE MEAN FIELD THEORY OF RANDOM HETEROPOLYMERS

1992 ◽  
Vol 03 (supp01) ◽  
pp. 195-200 ◽  
Author(s):  
SILVIO FRANZ ◽  
MARC MÉZARD ◽  
GIORGIO PARISI
Keyword(s):  
Field Theory ◽  
Numerical Simulations ◽  
Random Potential ◽  
Mean Field Theory ◽  
Mean Field ◽  
Directed Polymers ◽  
Directed Polymer ◽  
Replica Symmetry ◽  
The Mean

We discuss some of the problems appearing in the Mean Field Theory of Random Heteropolymers. We show how an hypothesis of replica symmetry maps this problem onto a directed polymer in a random potential, and explain how this hypothesis can be checked through numerical simulations on directed polymers. The approach of Shaknovitch and Gutin is also reviewed in light of these findings.

On the propagator related to an electron in a random potential

1988 ◽  
Vol 21 (8) ◽  
pp. L451-L454
Author(s):  
A B Nassar ◽  
J M F Bassalo ◽  
H S Antunes Neto ◽  
P T S Alencar
Keyword(s):  
Random Potential
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