Universality and nonuniversality of mobility in heterogeneous singlefile systems and Rouse chains
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Abstract
We study analytically the tracer particle mobility in singlefile systems with distributed friction constants. Our system serves as a prototype for nonequilibrium, heterogeneous, strongly interacting Brownian systems. The long time dynamics for such a singlefile setup belongs to the same universality class as the Rouse model with dissimilar beads. The friction constants are drawn from a density rho(xi), and we derive an asymptotically exact solution for the mobility distribution P[mu(0)(s)], where mu(0)(s) is the Laplacespace mobility. If rho is light tailed (first moment exists), we find a selfaveraging behavior: P[mu(0)(s)] = delta[mu(0)(s)  mu(s)], with mu(s) alpha s(1/2). When rho(xi) is heavy tailed, rho(xi) similar or equal to xi(1alpha) (0 < alpha < 1) for large xi, we obtain moments <[mu(s)(0)(n)]> alpha s(beta n), where beta = 1/(1 + alpha) and there is no selfaveraging. The results are corroborated by simulations.
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Research areas and keywords  Subject classification (UKÄ) – MANDATORY

Original language  English 

Article number  032101 
Journal  Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 
Volume  89 
Issue number  3 
Publication status  Published  2014 
Publication category  Research 
Peerreviewed  Yes 