| 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)
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