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2-TIPS (Two Temperature induced phase separation) refers to the phase separation phenomenon observed in mixtures of active and passive particles which are modelled using scalar activity. The active particles are connected to a thermostat at…

Soft Condensed Matter · Physics 2023-11-07 Nayana Venkatareddy , Jaydeep Mandal , Prabal K. Maiti

The dynamics of network formation are generally very complex, making the study of distributions over the space of networks often intractable. Under a condition called conservativeness, I show that the stationary distribution of a network…

Theoretical Economics · Economics 2025-04-15 Jose M. Betancourt

Repulsive self-propelled particles tend to cluster, leading to Motility-Induced Phase Separation (MIPS). By analogy with equilibrium phase separation, the onset of MIPS has been associated with a transition to effective attraction between…

Statistical Mechanics · Physics 2026-05-05 Rosalba Garcia-Millan , Luca Cocconi , Ziluo Zhang , Marius Bothe , Letian Chen , Zigan Zhen , Gunnar Pruessner

Observing spontaneous velocity ordering or flocking during motility induced phase separation (MIPS) in a system of spherical active Brownian particles without alignment interaction is challenging. We take up this problem by performing…

Soft Condensed Matter · Physics 2024-02-08 Subhajit Paul , Suman Majumder , Wolfhard Janke

We examine run and tumble disks in two-dimensional systems where the particles also have a Magnus component to their dynamics. For increased activity, we find that the system forms a motility-induced phase-separated (MIPS) state with chiral…

Soft Condensed Matter · Physics 2023-10-27 B. Adorjani , A. Libal , C. Reichhardt , C. J. O. Reichhardt

Active Brownian particles (ABPs) with pure repulsion is an ideal model to understand the effect of nonequilibrium on collective behaviors. It has long been established that activity can create effective attractions leading to…

Soft Condensed Matter · Physics 2022-04-01 Jie Su , Mengkai Feng , Huijun Jiang , Zhonghuai Hou

To mimic the complex transport-like collective phenomena in a man-made or natural system, we study an open network junction model of totally asymmetric simple exclusion process with bulk particle attachment and detachment. The stationary…

Statistical Mechanics · Physics 2022-02-23 Ankita Gupta , Arvind Kumar Gupta

The structure of a network has a major effect on dynamical processes on that network. Many studies of the interplay between network structure and dynamics have focused on models of phenomena such as disease spread, opinion formation and…

Dynamical Systems · Mathematics 2025-10-21 Lucas Böttcher , Mason A. Porter

We provide a detailed multiscale analysis of a system of particles interacting through a dynamical network of links. Starting from a microscopic model, via the mean field limit, we formally derive coupled kinetic equations for the particle…

Analysis of PDEs · Mathematics 2016-07-14 Julien Barré , Pierre Degond , Ewelina Zatorska

Demixing of multicomponent biomolecular systems via liquid-liquid phase separation (LLPS) has emerged as a potentially unifying mechanism governing the formation of several membrane-less intracellular organelles ("condensates"), both in the…

Soft Condensed Matter · Physics 2022-10-04 Pierre Ronceray , Sheng Mao , Andrej Košmrlj , Mikko P. Haataja

Biological networks have been recently found to exhibit many topological properties of the so-called complex networks. It has been reported that they are, in general, both highly skewed and directed. In this paper, we report on the dynamics…

Molecular Networks · Quantitative Biology 2007-05-23 Jesus Gomez-Gardenes , Yamir Moreno , Luis M. Floria

Mixtures of microtubules and molecular motors form active materials with diverse dynamical behaviors that vary based on their constituents' molecular properties. We map the non-equilibrium phase diagram of microtubules and tip-accumulating…

Soft Condensed Matter · Physics 2021-08-04 Bezia Lemma , Noah P. Mitchell , Radhika Subramanian , Daniel J. Needleman , Zvonimir Dogic

Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time…

Physics and Society · Physics 2016-01-11 Giuseppe Jurman

We consider a continuum model for motility-induced phase separation (MIPS) of active Brownian particles [J. Chem. Phys. 142, 224149 (2015)]. Using a recently introduced perturbative analysis [Phys. Rev. E 98, 020604(R) (2018)], we show that…

Soft Condensed Matter · Physics 2019-07-02 Lisa Rapp , Fabian Bergmann , Walter Zimmermann

We present a thermodynamically consistent model describing the dynamics of a multi-component mixture where one enzyme component catalyzes a reaction between other components. We find that the catalytic activity alone can induce phase…

Biological Physics · Physics 2022-10-05 Matthew W. Cotton , Ramin Golestanian , Jaime Agudo-Canalejo

Identifying the universality class of critical active phase transitions has been the subject of recent interest and controversy. Resolving these controversies will require robust numerical investigations to determine whether active critical…

Statistical Mechanics · Physics 2025-11-14 Jiechao Feng , Daniel Evans , Ahmad K. Omar

We show that systematic particle rotations in a fluid composed of disk-shaped spinners can spontaneously lead to phase separation. The phenomenon arises out of a homogeneous and hydrostatic stationary state, due to a pressure feedback…

Soft Condensed Matter · Physics 2026-05-28 Pasquale Digregorio , Ignacio Pagonabarraga , Francisco Vega Reyes

Adding a small amount of passive (Brownian) particles to a two-dimensional dense suspension of repulsive active Brownian particles does not affect the appearance of a motility-induced phase separation into a dense and a dilute phase, caused…

Soft Condensed Matter · Physics 2025-08-11 Rodrigo Fernández-Quevedo García , Enrique Chacón , Pedro Tarazona , Chantal Valeriani

We develop a continuum limit and mean-field theory for interacting particle systems (IPS) on self-similar networks, a new class of discrete models whose large-scale behavior gives rise to nonlocal evolution equations on fractal domains.…

Dynamical Systems · Mathematics 2026-02-02 Georgi S. Medvedev

We present a simple mathematical framework for the description of the dynamics of glassy systems in terms of a random walk in a complex energy landscape pictured as a network of minima. We show how to use the tools developed for the study…

Statistical Mechanics · Physics 2015-03-17 Paolo Moretti , Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras