TY - JOUR
T1 - Exactly solvable model of interface growth
AU - Newman, T. J.
PY - 1994/4
Y1 - 1994/4
N2 - We propose and exactly solve a model of interface growth. The model is applicable to Kardar-Parisi-Zhang type interfaces growing into an environment whose density decreases exponentially with height. We find that the average height of the interface grows as ln(t) for all spatial dimensions d. The interface width has a much richer dependence on d, showing a nontrivial crossover behavior around d=2.
AB - We propose and exactly solve a model of interface growth. The model is applicable to Kardar-Parisi-Zhang type interfaces growing into an environment whose density decreases exponentially with height. We find that the average height of the interface grows as ln(t) for all spatial dimensions d. The interface width has a much richer dependence on d, showing a nontrivial crossover behavior around d=2.
UR - http://www.scopus.com/inward/record.url?scp=0346469679&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.49.R2525
DO - 10.1103/PhysRevE.49.R2525
M3 - Article
AN - SCOPUS:0346469679
SN - 1550-2376
VL - 49
SP - R2525-R2527
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
ER -