TY - JOUR

T1 - Dynamical scaling in dissipative Burgers turbulence

AU - Newman, T. J.

PY - 1997/6

Y1 - 1997/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=5244293949&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.55.6989

DO - 10.1103/PhysRevE.55.6989

M3 - Article

AN - SCOPUS:5244293949

SN - 1550-2376

VL - 55

SP - 6989

EP - 6999

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 6

ER -