Soluble Infinite-Range Model of Kinetic Roughening
M. Marsili, A. J. Bray
TL;DR
This paper introduces an exactly solvable infinite-range KPZ model revealing a noise-dependent transition between weak and strong coupling regimes, with distinct stationary and nonstationary behaviors.
Contribution
It presents a modified KPZ equation solved exactly in the infinite-range limit, highlighting a novel weak-to-strong coupling transition influenced by noise.
Findings
Weak-to-strong coupling transition observed
Double-peaked height distribution in stationary state
Distinct nonstationary dynamics
Abstract
A modified Kardar-Parisi-Zhang (KPZ) equation is introduced, and solved exactly in the infinite-range limit. In the low-noise limit the system exhibits a weak-to-strong coupling transition, rounded for non-zero noise, as a function of the KPZ non-linearity. The strong-coupling regime is characterised by a double-peaked height distribution in the stationary state. The nonstationary dynamics is quite different from that of the stationary state.
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