CMSP Journal Club
Breakdown of Kolmogorov Scaling in Aggregation Models
by Ms. Himani Sachdeva (TIFR)
Wednesday, June 27, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( A304 )
at Colaba Campus ( A304 )
Description |
The authors study a model with diffusing and aggregating particles in the presence of a source of monomers, which provides an example of an analytically tractable turbulent system. The steady state is characterized by a constant mass flux from small masses to large. Thus it can be studied using a phenomenological theory, inspired by Kolmogorov’s 1941 theory, which assumes constant flux and self-similarity. In dimensions less than or equal to two, this self similarity is violated. By constructing a statistical field theory and using renormalization group techniques, the authors show that the multipoint correlation functions exhibit a non-trivial multiscaling. References: [1] C. Connaughton, R. Rajesh, O. Zaboronski, Phys. Rev. Lett. 94, 194503 (2005) [2] C. Connaughton, R. Rajesh, O. Zaboronski, Physica D 222, 97 (2006) |