Directed Polymers and Interfaces in Disordered Media

Polymers

NamiF. Svaiter¹  ChristianD. Rodríguez-Camargo²  RóbinsonJ. Acosta Diaz³ 

[1] Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro 22290-180, Brazil;Departamento de Ingeniería Industrial, Corporación Universitaria Minuto de Dios, Carrera 73A No. 81B-70, Bogotá 111021, Colombia;Instituto de Física, Universidade Federal do Rio de Janeiro, Av. Athos da Silveira Ramos 149, Rio de Janeiro 21941-972, Brazil;

关键词: disordered systems;    free energy;    wandering exponent;   

DOI  :  10.3390/polym12051066

来源: DOAJ

【 摘 要 】

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 $\xi =(4-d)/2$ , also obtained by the conventional replica method for the replica symmetric scenario.

【 授权许可】

Unknown