Patterns of Polar Domains in a Spatiotemporal Model of Interacting Polarities

Aliee M, Boudaoud A (2019)


Publication Type: Journal article

Publication year: 2019

Journal

Book Volume: 123

Journal Issue: 2

DOI: 10.1103/PhysRevLett.123.028101

Abstract

Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical model that generalizes classical spin models on a lattice by incorporating effective transport of polarity molecules between neighboring sites. We account for an external field and for ferromagnetic interactions between sites and prescribe the time evolution of the system using two distinct dissipative classes for nonconserved and conserved variables representing polarity orientation and magnitude, respectively. We observe two main types of steady-state configurations-disordered configurations and patterns of highly polar spots surrounded by regions with low polarity-and we characterize patterns and transitions between configurations. Our results may provide alternative pattern-generating mechanisms for materials endowed with polarity fields.

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APA:

Aliee, M., & Boudaoud, A. (2019). Patterns of Polar Domains in a Spatiotemporal Model of Interacting Polarities. Physical Review Letters, 123(2). https://dx.doi.org/10.1103/PhysRevLett.123.028101

MLA:

Aliee, Maryam, and Arezki Boudaoud. "Patterns of Polar Domains in a Spatiotemporal Model of Interacting Polarities." Physical Review Letters 123.2 (2019).

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