Joint ICTP/SISSA STAT_PHYS Seminar on 24 January 2012

[ivanisse]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR


Tuesday, 24 January 2012  -   11:30 a.m.

Luigi Stasi Seminar Room - ICTP Leonardo Bldg. - 1st floor


A. Taloni (IENI, Milano)

" Fractional Langevin Equation and its application to linear stochastic 
models "


Abstract:

The Generalized Elastic Model accounts for the dynamics of several 
physical systems, such as polymers, fluctuating interfaces, growing 
surfaces, membranes, proteins and file systems among others. We derive 
the  fractional stochastic  equation governing the motion   of a probe 
particle (tracer) in such kind of  systems. This Langevin equation 
involves the use of fractional derivative in time and satisfies the 
Fluctuation-Dissipation relation, it goes under the name of Fractional 
Langevin Equation. Within this framework the spatial   correlations 
appearing in the Generalized Elastic Model  are translated into  time 
correlations described by the fractional derivative together with  the 
space-time correlations of the fractional Gaussian noise. We derive the 
exact scaling analytical form of several physical observables such as 
structure factors, roughness and mean square displacement. Special 
attention will be devoted to the dependence on initial conditions and 
linear-response relations in the case of an applied potential.