Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations

Details Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations

2003-07-17

arxiv.org/abs/cond-mat/0307411v2

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 4 figures. New results on fourth order equations added. One argument is replaced

Scientific paper

Growth of interfaces during vapor deposition are analyzed on a discrete lattice. Foe a rough surface, relation between the roughness exponent alpha, and corresponding step-step (slope-slope) couplings is obtained in (1+1) and (2+1) dimensions. From the discrete form and the symmetries of the growth problem, the step -step couplings can be determined. Thus alpha can be obtained. The method is applied to Edward-Wilkinson type and Kardar- Parisi -Zhang equations in all the dimensions to obtain exact values of alpha. It is further applied to the fourth order linear and non linear terms. Exact values of roughness coefficients in these cases are obtained. The method is thus applicable to any linear or nonlinear stochastic equation with non conserved noise for obtaining the exact asymptoic exponents.

Affiliated with

Also associated with

No associations

Rating

Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations 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 Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-151654