Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gibbs-like measure for single-time, multi-scale energy transfer in
  stochastic signals and Shell Model of turbulence   A Gibbs-like approach for simultaneous multi-scale correlation functions in
random, time-dependent, multiplicative processes for the turbulent energy
cascade is investigated. We study the optimal log-normal Gibbs-like
distribution able to describe the subtle effects induced by non-trivial time
dependency on both single-scale (structure functions) and multi-scale
correlation functions. We provide analytical expression for the general
multi-scale correlation functions in terms of the two-point correlations
between multipliers and we show that the log-normal distribution is already
accurate enough to reproduce quantitatively many of the observed behavior. The
main result is that non-trivial time effects renormalize the Gibbs-like
effective potential necessary to describe single-time statistics. We also
present a generalization of this approach to more general, non log-normal,
potential. In the latter case one obtains a formal expansion of both structure
functions and multi-scale correlations in terms of cumulants of all orders.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas