Universität zu Köln

Saberi, Abbas Ali, Dashti-Naserabadi, Hor and Krug, Joachim ORCID: 0000-0002-2143-6490 (2019). Competing Universalities in Kardar-Parisi-Zhang Growth Models. Phys. Rev. Lett., 122 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We report on the universality of height fluctuations at the crossing point of two interacting (1 + 1)-dimensional Kardar-Parisi-Zhang interfaces with curved and flat initial conditions. We introduce a control parameter p as the probability for the initially flat geometry to be chosen and compute the phase diagram as a function of p. We find that the distribution of the fluctuations converges to the Gaussian orthogonal ensemble Tracy-Widom distribution for p < 0.5, and to the Gaussian unitary ensemble Tracy-Widom distribution for p > 0.5. For p = 0.5 where the two geometries are equally weighted, the behavior is governed by an emergent Gaussian statistics in the universality class of Brownian motion. We propose a phenomenological theory to explain our findings and discuss possible applications in nonequilibrium transport and traffic flow.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Saberi, Abbas Ali UNSPECIFIED UNSPECIFIED UNSPECIFIED Dashti-Naserabadi, Hor UNSPECIFIED UNSPECIFIED UNSPECIFIED Krug, Joachim UNSPECIFIED orcid.org/0000-0002-2143-6490 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-158798
DOI:	10.1103/PhysRevLett.122.040605
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	122
Number:	4
Date:	2019
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institut für Biologische Physik
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SIMPLE EXCLUSION PROCESS; BALLISTIC DEPOSITION; DIRECTED POLYMERS; FLUCTUATIONS; INTERFACES Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15879