Correlation Functions for an Elastic String in a Random Potential: Instanton Approach

Details Correlation Functions for an Elastic String in a Random Potential: Instanton Approach Correlation Functions for an Elastic String in a Random Potential: Instanton Approach

2001-12-06

arxiv.org/abs/cond-mat/0112101v1

Phys. Rev. B 66, 132101 (2002)

Physics

Condensed Matter

Soft Condensed Matter

5 pages; 1 .eps figure included

Scientific paper

10.1103/PhysRevB.66.132101

We develop an instanton technique for calculations of correlation functions characterizing statistical behavior of the elastic string in disordered media and apply the proposed approach to correlations of string free energies corresponding to different low-lying metastable positions. We find high-energy tails of correlation functions for the case of long-range disorder (the disorder correlation length well exceeds the characteristic distance between the sequential string positions) and short-range disorder with the correlation length much smaller then the characteristic string displacements. The former case refers to energy distributions and correlations on the distances below the Larkin correlation length, while the latter describes correlations on the large spatial scales relevant for the creep dynamics.

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