Approach to zigzag and checkerboard patterns in spatially extended systems

Manoj C. Warambhe and Prashant M. Gade

Chaos, Solitons & Fractals, 2023, vol. 172, issue C

Abstract: Zigzag patterns in one dimension or checkerboard patterns in two dimensions occur in a variety of pattern-forming systems. We introduce an order parameter ‘phase defect’ to identify this transition and help to recognize the associated universality class on a discrete lattice. In one dimension, if xi(t) is a variable value at site i at time t. We assign spin si(t)=1 for xi(t)>xi−1(t), si(t)=−1 if xi(t)Keywords: Coupled map lattice; Zigzag/ checkerboard pattern; Non-equilibrium phase transition; Self-organized criticality; Persistence (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004113

DOI: 10.1016/j.chaos.2023.113510

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