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UMR 5672

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Vous êtes ici : Accueil / Séminaires / Experimental physics and modelling / Socioeconomic agents as active matter and nucleation paths in active field theories

Socioeconomic agents as active matter and nucleation paths in active field theories

Ruben Zakine (LadHyX Ecole polytechnique)
Quand ? Le 09/01/2024,
de 11:00 à 12:00
Où ? Salle des thèses
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Participants Ruben Zakine
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In this seminar, we will tackle two subjects whose common thread is active matter. In a first part, I will focus on a socio-economic occupation model in the spirit of the Sakoda-Schelling model, historically introduced to shed light on segregation dynamics among human groups. For a large class of decision rules that drive the system out of equilibrium, we recover an equilibrium-like phase separation phenomenology (liquid-gas). Within the mean-field approximation I will show how the model can be mapped, to some extent, onto an active matter field description, paving the way for a unifying framework which considers population and price dynamics within a field theoretic approach. In a second part, using the nucleation-induced active phase separation as a starting observation, I will ask a general question: How can one predict the final phase of a nonequilibrium system where several phases compete? Since resorting to the free energy minimization is impossible, the transition depends crucially on the system’s dynamics. By using a minimum action method, I will pinpoint the first-order phase transition in some spatially-extended nonequilibrium systems. I will focus on the nonequilibrium extension of the Cahn-Hilliard dynamics (or Active Model B), commonly used to describe active liquid-gas phase separation. The paths of the transitions and their critical nuclei are notably identified.

Socioeconomic agents as active matter in nonequilibrium Sakoda-Schelling models
R Zakine, J Garnier-Brun, AC Becharat, M Benzaquen

Minimum Action Method for Nonequilibrium Phase Transitions
R Zakine, E Vanden-Eijnden

Unveiling the Phase Diagram and Reaction Paths of the Active Model B with the Deep Minimum Action Method
R Zakine, E Simonnet, E Vanden-Eijnden