Relaxation to steady states and dynamical exponents in deposition models

Details Relaxation to steady states and dynamical exponents in deposition models Relaxation to steady states and dynamical exponents in deposition models

2002-07-02

arxiv.org/abs/cond-mat/0207088v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures, to be published in Physica A

Scientific paper

Considering some deposition models with limited mobility, we show that the typical decay of the interface width to its saturation value is exponential, which defines the crossover or saturation time \tau. We present a method to calculate a characteristic time \tau_0 proportional to \tau and estimate the dynamical exponent z. In one dimensional substrates of lengths L <~ 2048, the method is applied to the Family model, the restricted solid-on-solid (RSOS) model and the ballistic deposition. Effective exponents z_L converge to asymptotic values consistent with the corresponding continuum theories. For the two-dimensional Family model, the expected dynamic scaling hypothesis suggests a particular definition of \tau_0 that leads to z=2, improving previous calculations based on data collapse methods. For the two-dimensional RSOS model, we obtain z ~ 1.6 and \alpha < 0.4, in agreement with recent large scale simulations.

Affiliated with

Also associated with

No associations

Rating

Relaxation to steady states and dynamical exponents in deposition models 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 Relaxation to steady states and dynamical exponents in deposition models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relaxation to steady states and dynamical exponents in deposition models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525943