TY - JOUR
T1 - Kardar-Parisi-Zhang universality class and the anchored Toom interface
AU - Barkema, G. T.
AU - Ferrari, P. L.
AU - Lebowitz, J. L.
AU - Spohn, H.
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/10/8
Y1 - 2014/10/8
N2 - We revisit the anchored Toom interface and use Kardar-Parisi-Zhang scaling theory to argue that the interface fluctuations are governed by the Airy1 process with the role of space and time interchanged. The predictions, which contain no free parameter, are numerically well confirmed for space-time statistics in the stationary state. In particular, the spatial fluctuations of the interface computed numerically agree well with those given by the GOE edge distribution of Tracy and Widom [Commun. Math. Phys. 177, 727 (1996)CMPHAY0010-361610.1007/BF02099545].
AB - We revisit the anchored Toom interface and use Kardar-Parisi-Zhang scaling theory to argue that the interface fluctuations are governed by the Airy1 process with the role of space and time interchanged. The predictions, which contain no free parameter, are numerically well confirmed for space-time statistics in the stationary state. In particular, the spatial fluctuations of the interface computed numerically agree well with those given by the GOE edge distribution of Tracy and Widom [Commun. Math. Phys. 177, 727 (1996)CMPHAY0010-361610.1007/BF02099545].
UR - http://www.scopus.com/inward/record.url?scp=84907833625&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.90.042116
DO - 10.1103/PhysRevE.90.042116
M3 - Article
AN - SCOPUS:84907833625
SN - 1539-3755
VL - 90
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
M1 - 042116
ER -