Velocity distribution functions and intermittency in onedimensional randomly forced Burgers turbulence
Abstract
The problem of onedimensional randomly forced Burgers turbulence is considered in terms of directed polymers. In the limit of strong turbulence (which corresponds to the zero temperature limit for a directed polymer system), a general explicit expression for the joint distribution function of two velocities separated by a finite distance is derived using the replica technique. In particular, it is shown that at length scales much smaller than the injection length of the Burgers random force, the moments of the velocity increment exhibit typical strong intermittency behavior.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 August 2018
 DOI:
 10.1088/17425468/aad6c8
 arXiv:
 arXiv:1804.08294
 Bibcode:
 2018JSMTE..08.3302D
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 21 pages, 4 figures