Multicritical and crossover phenomena in surface growth
- 5 November 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (19) , 2422-2425
- https://doi.org/10.1103/physrevlett.65.2422
Abstract
Extended scaling forms are usually required to account for the complex behavior near a multicritical point. We explore their role in understanding kinetic phase transitions described by the Kardar-Parisi-Zhang equation for interface growth. For a surface of dimension d=2, an exponentially slow logarithmic-to-power-law crossover is predicted from a renormalization-group analysis and compared with numerical simulations of a deposition and evaporation model. Derivation of scaling forms associated with the kinetic roughening transition at d>2 is presented.Keywords
This publication has 18 references indexed in Scilit:
- Roughening transition and percolation in random ballistic depositionPhysical Review Letters, 1990
- Surface roughening in a hypercube-stacking modelPhysical Review Letters, 1990
- Kinetics of interface growth in driven systemsPhysical Review Letters, 1990
- Roughening phase transition in surface growthPhysical Review Letters, 1990
- Phase transition in a restricted solid-on-solid surface-growth model in 2+1 dimensionsPhysical Review Letters, 1990
- Anomalous roughening in growth processesPhysical Review Letters, 1989
- Dynamic Scaling of Growing InterfacesPhysical Review Letters, 1986
- The renormalization group in the theory of critical behaviorReviews of Modern Physics, 1974
- Tricritical Exponents and Scaling FieldsPhysical Review Letters, 1972
- Thermodynamics Near the Two-Fluid Critical Mixing Point in-Physical Review Letters, 1970