# Vortex dynamics in a compact Kardar-Parisi-Zhang system

Source: [Vortex dynamics in a compact Kardar-Parisi-Zhang system](<https://www.sota2.com/research/paper/68fa3dc61e209131ce8e321d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T01:42:00.132Z

Authors: A. Zamora, N. Lad, M. H. Szymanska

Published: 2020-03-03T19:06:59.000Z

## Abstract

We study the dynamics of vortices in a two-dimensional, non-equilibrium system, described by the compact Kardar-Parisi-Zhang equation, after a sudden quench across the critical region. Our exact numerical solution of the phase-ordering kinetics shows that the unique interplay between non-equilibrium and the variable degree of spatial anisotropy leads to different critical regimes. We provide an analytical expression for the vortex evolution, based on scaling arguments, which is in agreement with the numerical results, and confirms the form of the interaction potential between vortices in this system.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2003.01743>)

[PDF](<https://arxiv.org/pdf/2003.01743.pdf>)