Abstract
An exact asymptotic analysis is performed for the two-point correlation function C(r,t) in dissipative Burgers turbulence with bounded initial data, in arbitrary spatial dimension d. Contrary to the usual scaling hypothesis of a single dynamic length scale, it is found that C contains two dynamic scales: a diffusive scale lD~t1/2 for very large r and a superdiffusive scale L(t)~ta for r«lD, where a=(d+1)/(d+2). The consequences for conventional scaling theory are discussed. Finally, some simple scaling arguments are presented within the ``toy model'' of disordered systems theory, which may be exactly mapped onto the current problem.
Original language | English |
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Pages (from-to) | 6989-6999 |
Number of pages | 11 |
Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
Volume | 55 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jun 1997 |