Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature

Details Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature

2001-04-27

arxiv.org/abs/cond-mat/0104538v1

Eur. Phys. J. B 21, 407 (2001)

Physics

Condensed Matter

Statistical Mechanics

20 pages, 22 figures, accepted for publication in Eur. Phys. J. B

Scientific paper

10.1007/s100510170185

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 $\Delta E_1 \sim L^\theta [\ln(L_z L^{-\zeta})]^{-1/2}$, where $\zeta$ is the roughness exponent and $\theta$ is the energy fluctuation exponent of the manifold, $L$ is the linear size of the manifold, and $L_z$ 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 $\chi_{tot} \sim L^{2D+1-\theta} [(1-\zeta)\ln(L)]^{1/2}$. We also present a mean field argument for the finite size scaling of the first jump field, $h_1 \sim L^{d-\theta}$. The implications to wetting in random systems, to finite-temperature behavior and the relation to Kardar-Parisi-Zhang non-equilibrium surface growth are discussed.

Affiliated with

Also associated with

No associations

Rating

Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy landscapes, lowest gaps, and susceptibility of elastic manifolds at zero temperature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436757