Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature |
| |
Authors: | ET Seppälä MJ Alava |
| |
Institution: | (1) Helsinki University of Technology, Laboratory of Physics, PO Box 1100, 02015 HUT, Finland, FI |
| |
Abstract: | We study the effect of an external field on (1 + 1) and (2 + 1) dimensional elastic manifolds, at zero temperature and with
random bond disorder. Due to the glassy energy landscape the configuration of a manifold changes often in abrupt, “first order”-type
of large jumps when the field is applied. First the scaling behavior of the energy gap between the global energy minimum and
the next lowest minimum of the manifold is considered, by employing exact ground state calculations and an extreme statistics
argument. The scaling has a logarithmic prefactor originating from the number of the minima in the landscape, and reads ΔE
1∼L
θln(L
z
L
- ζ)]-1/2, where ζ is the roughness exponent and θ is the energy fluctuation exponent of the manifold, L is the linear size of the manifold, and Lz is the system height. The gap scaling is extended to the case of a finite external field and yields for the susceptibility
of the manifolds ∼L
2D + 1 - θ(1 - ζ)ln(L)]1/2. We also present a mean field argument for the finite size scaling of the first jump field, h
1∼L
d - θ. The implications to wetting in random systems, to finite-temperature behavior and the relation to Kardar-Parisi-Zhang non-equilibrium
surface growth are discussed.
Received December 2000 and Received in final form April 2001 |
| |
Keywords: | PACS 75 50 Lk Spin glasses and other random magnets – 05 70 Np Interface and surface thermodynamics – 68 08 Bc Wetting – 74 60 Ge Flux pinning flux creep and flux-line lattice dynamics |
本文献已被 SpringerLink 等数据库收录! |
|