scholarly journals Limiting Results for the Free Energy of Directed Polymers in Random Environment with Unbounded Jumps

2015 ◽  
Vol 161 (3) ◽  
pp. 577-597 ◽  
Author(s):  
Francis Comets ◽  
Ryoki Fukushima ◽  
Shuta Nakajima ◽  
Nobuo Yoshida
Keyword(s):  
Free Energy ◽  
Random Environment ◽  
Directed Polymers

scholarly journals Directed polymers in a random environment: path localization and strong disorder

Bernoulli ◽  
2003 ◽  
Vol 9 (4) ◽  
pp. 705-723 ◽  
Author(s):  
Francis Comets ◽  
Tokuzo Shiga ◽  
Nobuo Yoshida
Keyword(s):  
Random Environment ◽  
Directed Polymers ◽  
Strong Disorder

scholarly journals Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension

2014 ◽  
Vol 67 (7) ◽  
pp. 1129-1214 ◽  
Author(s):  
Alexei Borodin ◽  
Ivan Corwin ◽  
Patrik Ferrari
Keyword(s):  
Free Energy ◽  
Random Media ◽  
Directed Polymers

scholarly journals Directed Polymers and Interfaces in Disordered Media

Polymers ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 1066
Author(s):  
Róbinson J. Acosta Diaz ◽  
Christian D. Rodríguez-Camargo ◽  
Nami F. Svaiter
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Partition Function ◽  
Saddle Point ◽  
Finite Temperature ◽  
Series Representation ◽  
Replica Method ◽  
Quenched Disorder ◽  
Directed Polymers ◽  
Disordered Media

We consider field theory formulation for directed polymers and interfaces in the presence of quenched disorder. We write a series representation for the averaged free energy, where all the integer moments of the partition function of the model contribute. The structure of field space is analysed for polymers and interfaces at finite temperature using the saddle-point equations derived from each integer moments of the partition function. For the case of an interface we obtain the wandering exponent ξ = ( 4 − d ) / 2 , also obtained by the conventional replica method for the replica symmetric scenario.

Brownian Directed Polymers in Random Environment

2004 ◽  
Vol 254 (2) ◽  
pp. 257-287 ◽  
Author(s):  
Francis Comets ◽  
Nobuo Yoshida
Keyword(s):  
Random Environment ◽  
Directed Polymers
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