Scientific Results

Role of quenching on superdiffusive transport in two-dimensional random media

Year: 2010

Authors: Barthelemy P., Bertolotti J., Vynck K., Lepri S., Wiersma D.

Autors Affiliation: LENS, I-50019 Florence, Italy; CNR Istituto Nazionale di Ottica, I-50019 Florence, Italy; CNR, Ist Sistemi Complessi, I-50019 Florence, Italy

Abstract: Transport in random media is known to be affected by quenched disorder. From the point of view of random walks, quenching induces correlations between steps that may alter the dynamical properties of the medium. This paper is intended to provide more insight into the role of quenched disorder on superdiffusive transport in two-dimensional random media. The systems under consideration are disordered materials called Levy glasses that exhibit large spatial fluctuations in the density of scattering elements. We show that in an ideal Levy glass the influence of quenching can be neglected, in the sense that transport follows to very good approximation that of a standard Levy walk. We also show that, by changing sample parameters, quenching effects can be increased intentionally, thereby making it possible to investigate systematically diverse regimes of transport. In particular, we find that strong quenching induces local trapping effects which slow down superdiffusion and lead to a transient subdiffusivelike transport regime close to the truncation time of the system.


Volume: 82 (1)      Pages from: 011101  to: 011101

More Information: We wish to acknowledge R. Burioni, A. Vezzani, R. Livi, and the entire Optics of Complex Systems Group at LENS for fruitful discussions. This work was financially supported by Ente Cassa di Risparmio, the European Network of Excellence \”Nanophotonics for Energy Efficiency,\” and the MIUR PRIN project \” Non-linearity and disorder in classical and quantum transport processes.\”
DOI: 10.1103/PhysRevE.82.011101

Citations: 22
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