Non-universal finite size scaling of rough surfaces

Details Non-universal finite size scaling of rough surfaces Non-universal finite size scaling of rough surfaces

2009-11-24

arxiv.org/abs/0911.4618v1

J. Phys. A: Math. Theor. 42 (2009) 485004

Physics

Condensed Matter

Statistical Mechanics

15 pages, 10 figures

Scientific paper

10.1088/1751-8113/42/48/485004

We demonstrate the non-universal behavior of finite size scaling in (1+1) dimension of a nonlinear discrete growth model involving extended particles in generalized point of view. In particular, we show the violation of the universal nature of the scaling function corresponding to the height fluctuation in (1+1) dimension. The 2nd order moment of the height fluctuation shows three distinct crossover regions separated by two crossover time scales namely, tx1 and tx2. Each regime has different scaling property. The overall scaling behavior is postulated with a new scaling relation represented as the linear sum of two scaling functions valid for each scaling regime. Besides, we notice the dependence of the roughness exponents on the finite size of the system. The roughness exponents corresponding to the rough surface is compared with the growth rate or the velocity of the surface.

Affiliated with

Also associated with

No associations

Rating

Non-universal finite size scaling of rough surfaces 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 Non-universal finite size scaling of rough surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-universal finite size scaling of rough surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280007