TY - JOUR
T1 - Interface growth and Burgers turbulence
T2 - the problem of random initial conditions
AU - Esipov, Sergei E.
AU - Newman, T. J.
PY - 1993/8
Y1 - 1993/8
N2 - We study the relaxational dynamics of the deterministic Burgers equation, with random initial conditions, in an arbitrary spatial dimension d. In this paper we concentrate mainly on initial distributions relevant to interface growth rather than Burgers turbulence (although we shall present results for this system in d=1). By using an analytic approach, we are able to calculate both the short- and long-time forms for the kinetic energy of the fluid (or equivalently the roughness of the interface.) We find exponents describing the early-time behavior of the system.
AB - We study the relaxational dynamics of the deterministic Burgers equation, with random initial conditions, in an arbitrary spatial dimension d. In this paper we concentrate mainly on initial distributions relevant to interface growth rather than Burgers turbulence (although we shall present results for this system in d=1). By using an analytic approach, we are able to calculate both the short- and long-time forms for the kinetic energy of the fluid (or equivalently the roughness of the interface.) We find exponents describing the early-time behavior of the system.
UR - http://www.scopus.com/inward/record.url?scp=0011754967&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.48.1046
DO - 10.1103/PhysRevE.48.1046
M3 - Article
AN - SCOPUS:0011754967
SN - 1550-2376
VL - 48
SP - 1046
EP - 1050
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 - 2
ER -