Rewiring driven evolution of quenched frustrated signed network

Kožić, Sven Benjamin; Giampaolo, Salvatore Marco; Zlatić, Vinko (2024) Rewiring driven evolution of quenched frustrated signed network. Journal of Physics: Complexity, 5 (1). ISSN 2632-072X

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Abstract

A framework for studying the behavior of a classically frustrated signed network in the process of random rewiring is developed. We describe jump probabilities for change in frustration and formulate a theoretical estimate in terms of the master equation. Stationary thermodynamic distribution and moments are derived from the master equation and compared to numerical simulations. Furthermore, an exact solution of the probability distribution is provided through suitable mapping of rewiring dynamic to birth and death processes with quadratic asymptotically symmetric transition rates.

Item Type:	Article
Uncontrolled Keywords:	networks dynamics; rewiring; master equation
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Frustrirani kompleksni sustavi-FCS Salvatore Marco Giampaolo; Tena Dubček IP-2019-04-3321 HRZZ Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri-QuantiXLie Hrvoje Buljan; Pavle Pandžić; Vit Tuček; Tomislav Marketin KK.01.1.1.01.0004 EK
Depositing User:	Ivana Vuglec
Date Deposited:	25 Mar 2026 09:26
URI:	http://fulir.irb.hr/id/eprint/11418
DOI:	10.1088/2632-072X/ad1a1a

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