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Zakine R, Garnier-Brun J, Becharat AC, Benzaquen M. Socioeconomic agents as active matter in nonequilibrium Sakoda-Schelling models. Phys Rev E 2024; 109:044310. [PMID: 38755798 DOI: 10.1103/physreve.109.044310] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2023] [Accepted: 03/07/2024] [Indexed: 05/18/2024]
Abstract
How robust are socioeconomic agent-based models with respect to the details of the agents' decision rule? We tackle this question by considering an 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 utility functions and decision rules, we pinpoint the nonequilibrium nature of the agent dynamics, while recovering an equilibrium-like phase separation phenomenology. Within the mean-field approximation we show how the model can be mapped, to some extent, onto an active matter field description. Finally, we consider nonreciprocal interactions between two populations and show how they can lead to nonsteady macroscopic behavior. We believe our approach provides a unifying framework to further study geography-dependent agent-based models, notably paving the way for joint consideration of population and price dynamics within a field theoretic approach.
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Affiliation(s)
- Ruben Zakine
- Chair of Econophysics and Complex Systems, École polytechnique, 91128 Palaiseau Cedex, France
- LadHyX, CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
| | - Jérôme Garnier-Brun
- Chair of Econophysics and Complex Systems, École polytechnique, 91128 Palaiseau Cedex, France
- LadHyX, CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
| | - Antoine-Cyrus Becharat
- Chair of Econophysics and Complex Systems, École polytechnique, 91128 Palaiseau Cedex, France
- LadHyX, CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
| | - Michael Benzaquen
- Chair of Econophysics and Complex Systems, École polytechnique, 91128 Palaiseau Cedex, France
- LadHyX, CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
- Capital Fund Management, 23 Rue de l'Université, 75007 Paris, France
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Ridgway WJM, Dalwadi MP, Pearce P, Chapman SJ. Motility-Induced Phase Separation Mediated by Bacterial Quorum Sensing. PHYSICAL REVIEW LETTERS 2023; 131:228302. [PMID: 38101339 DOI: 10.1103/physrevlett.131.228302] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/03/2023] [Accepted: 10/09/2023] [Indexed: 12/17/2023]
Abstract
We study motility-induced phase separation (MIPS) in living active matter, in which cells interact through chemical signaling, or quorum sensing. In contrast to previous theories of MIPS, our multiscale continuum model accounts explicitly for genetic regulation of signal production and motility. Through analysis and simulations, we derive a new criterion for the onset of MIPS that depends on features of the genetic network. Furthermore, we identify and characterize a new type of oscillatory instability that occurs when gene regulation inside cells promotes motility in higher signal concentrations.
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Affiliation(s)
- Wesley J M Ridgway
- Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
| | - Mohit P Dalwadi
- Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
- Department of Mathematics, University College London, London WC1H 0AY, United Kingdom
- Institute for the Physics of Living Systems, University College London, London, United Kingdom
| | - Philip Pearce
- Department of Mathematics, University College London, London WC1H 0AY, United Kingdom
- Institute for the Physics of Living Systems, University College London, London, United Kingdom
| | - S Jonathan Chapman
- Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
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Dittrich F, Midya J, Virnau P, Das SK. Growth and aging in a few phase-separating active matter systems. Phys Rev E 2023; 108:024609. [PMID: 37723674 DOI: 10.1103/physreve.108.024609] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/12/2022] [Accepted: 07/22/2023] [Indexed: 09/20/2023]
Abstract
Via computer simulations we study evolution dynamics in systems of continuously moving active Brownian particles. The obtained results are discussed against those from the passive 2D Ising case. Following sudden quenches of random configurations to state points lying within the miscibility gaps and to the critical points, we investigate the far-from-steady-state dynamics by calculating quantities associated with structure and characteristic length scales. We also study aging for quenches into the miscibility gap and provide a quantitative picture for the scaling behavior of the two-time order-parameter correlation function. The overall structure and dynamics are consistent with expectations from the Ising model. This remains true for certain active lattice models as well, for which we present results for quenches to the critical points.
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Affiliation(s)
- Florian Dittrich
- Institute of Physics, Johannes Gutenberg University Mainz, 55128 Mainz, Germany
| | - Jiarul Midya
- Theoretical Physics of Living Matter, Forschungszentrum Jülich, 52425 Jülich, Germany
- School of Basic Sciences, Indian Institute of Technology, Bhubaneswar 752050, India
| | - Peter Virnau
- Institute of Physics, Johannes Gutenberg University Mainz, 55128 Mainz, Germany
| | - Subir K Das
- Theoretical Sciences Unit and School of Advanced Materials, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P.O., Bangalore 560064, India
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Besse M, Fausti G, Cates ME, Delamotte B, Nardini C. Interface Roughening in Nonequilibrium Phase-Separated Systems. PHYSICAL REVIEW LETTERS 2023; 130:187102. [PMID: 37204903 DOI: 10.1103/physrevlett.130.187102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/13/2022] [Accepted: 04/10/2023] [Indexed: 05/21/2023]
Abstract
Interfaces of phase-separated systems roughen in time due to capillary waves. Because of fluxes in the bulk, their dynamics is nonlocal in real space and is not described by the Edwards-Wilkinson or Kardar-Parisi-Zhang (KPZ) equations, nor their conserved counterparts. We show that, in the absence of detailed balance, the phase-separated interface is described by a new universality class that we term |q|KPZ. We compute the associated scaling exponents via one-loop renormalization group and corroborate the results by numerical integration of the |q|KPZ equation. Deriving the effective interface dynamics from a minimal field theory of active phase separation, we finally argue that the |q|KPZ universality class generically describes liquid-vapor interfaces in two- and three-dimensional active systems.
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Affiliation(s)
- M Besse
- Service de Physique de l'Etat Condensé, CEA, CNRS Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France
- CNRS, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Université, 75005 Paris, France
| | - G Fausti
- Service de Physique de l'Etat Condensé, CEA, CNRS Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France
- Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
| | - M E Cates
- DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
| | - B Delamotte
- CNRS, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Université, 75005 Paris, France
| | - C Nardini
- Service de Physique de l'Etat Condensé, CEA, CNRS Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France
- CNRS, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Université, 75005 Paris, France
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