TY - JOUR
T1 - Exact result vs. dynamic renormalization group analysis for the non-local Kardar-Parisi-Zhang equation
AU - Katzav, Eytan
PY - 2002/6/1
Y1 - 2002/6/1
N2 - In this paper I discuss a generalization of the well-known Kardar-Parisi-Zhang (KPZ) equation that includes long-range interactions. This Non-local Kardar-Parisi-Zhang (NKPZ) equation has been suggested in the past to describe physical phenomena such as burning paper or deposition of colloids. I show that the steady state strong coupling solution for a subfamily of the NKPZ models can be solved exactly in one dimension, using the Fokker-Planck form of the equation, and yields a Gaussian distribution. This exact result does not agree with a previous result obtained by dynamic renormalization group (DRG) analysis. The reasons for this disagreement are not yet clear.
AB - In this paper I discuss a generalization of the well-known Kardar-Parisi-Zhang (KPZ) equation that includes long-range interactions. This Non-local Kardar-Parisi-Zhang (NKPZ) equation has been suggested in the past to describe physical phenomena such as burning paper or deposition of colloids. I show that the steady state strong coupling solution for a subfamily of the NKPZ models can be solved exactly in one dimension, using the Fokker-Planck form of the equation, and yields a Gaussian distribution. This exact result does not agree with a previous result obtained by dynamic renormalization group (DRG) analysis. The reasons for this disagreement are not yet clear.
KW - Exact result
KW - KPZ equation
KW - Nonlocal models
UR - http://www.scopus.com/inward/record.url?scp=0036606143&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(02)00597-6
DO - 10.1016/S0378-4371(02)00597-6
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AN - SCOPUS:0036606143
SN - 0378-4371
VL - 309
SP - 79
EP - 84
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-2
ER -