Doctoral thesis
Open access

Temperature-dependence of a 1D interface fluctuations: role of a finite disorder correlation length

Defense date2013-07-01

Experimental realizations of a one-dimensional (1D) interface always exhibit a finite microscopic width and/or a disorder correlation length. We study analytically and numerically the geometrical fluctuations of a static 1D interface with a short-range elasticity, submitted to a quenched random-bond Gaussian disorder of finite disorder correlation length, and at finite temperature. Using the exact mapping from the static 1D interface to the 1+1 Directed Polymer (DP) growing in a continuous space, we predict the existence of two temperature regimes : the influence of the disorder correlation length is erased by the thermal fluctuations at sufficiently high temperature, but turns out to be a crucial ingredient for the description of the interface fluctuations below a characteristic temperature Tc>0. Finally, we discuss the consequences of the low-temperature regime for two prototypal experimental realizations of 1D interfaces: ferromagnetic domain walls in ultrathin Pt/Co/Pt films, and interfaces in nematic liquid crystals.

  • Classical statistical physics
  • Disordered elastic systems
  • 1D interfaces
  • Directed Polymer
  • Ferromagnetic domain walls
Research group
Citation (ISO format)
AGORITSAS, Elisabeth. Temperature-dependence of a 1D interface fluctuations: role of a finite disorder correlation length. 2013. doi: 10.13097/archive-ouverte/unige:30031
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Creation09/27/2013 5:38:00 PM
First validation09/27/2013 5:38:00 PM
Update time03/14/2023 8:31:23 PM
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