Work

Long-range interactions and disorder facilitate pattern formation in spatial complex systems

Year: 2023

Type: preprint

Abstract: Complex systems with global interactions tend to be stable if interactions between components are sufficiently homogeneous. In biological systems, which often have small copy numbers and interactions mediated by diffusing agents, noise and non-locality may affect stability. Here, we derive stability criteria for spatial complex systems with local and non-local interactions from a coarse-grained field theory with multiplicative noise. We show that long-range interactions give rise to a transition between regimes exhibiting giant density fluctuations and pattern formation. This instability is suppressed by non-reciprocity in interactions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2303.12611

Authors: Olmeda, Fabrizio, Rulands, Steffen

Institutions: Max Planck Institute for the Physics of Complex Systems, Ludwig-Maximilians-Universität München

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Awards: G2163666726, G434337789

OpenAlex ID: W4360835733

Cites:

Cited by: 1

Related to: 10