Interface growth and Burgers turbulence: the problem of random initial conditions

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 - https://www.scopus.com/pages/publications/0011754967

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 -