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Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

Statistical Mechanics · Physics 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

A variety of computational models have been developed to describe active matter at different length and time scales. The diversity of the methods and the challenges in modeling active matter---ranging from molecular motors and cytoskeletal…

Soft Condensed Matter · Physics 2020-04-21 M Reza Shaebani , Adam Wysocki , Roland G Winkler , Gerhard Gompper , Heiko Rieger

Active fluids exhibit spontaneous flows with complex spatiotemporal structure, which have been observed in bacterial suspensions, sperm cells, cytoskeletal suspensions, self-propelled colloids, and cell tissues. Despite occurring in the…

Soft Condensed Matter · Physics 2022-10-05 Ricard Alert , Jaume Casademunt , Jean-François Joanny

Active matter has played a pivotal role in advancing our understanding of non-equilibrium systems, leading to a fundamental shift in the study of biophysical phenomena. The foundation of active matter research is built on assumptions…

Soft Condensed Matter · Physics 2025-06-09 Varun Venkatesh , Niels de Graaf Sousa , Amin Doostmohammadi

In this perspective article, we discuss bacterial populations as a model system of active matter. It allows for the exploration and characterization of various phases of active matter and brings rich implications for both physics and…

Soft Condensed Matter · Physics 2026-04-16 Kazumasa A. Takeuchi , Daiki Nishiguchi

The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

We investigate the physical properties of steady flows in a holographic first-order phase transition model, extending from the thermodynamics at equilibrium to the real-time dynamics far from equilibrium. Through spinodal decomposition or…

High Energy Physics - Theory · Physics 2025-01-24 Qian Chen , Yuxuan Liu , Yu Tian , Xiaoning Wu , Hongbao Zhang

Chemically-active droplets exhibit complex avoiding trajectories. While heterogeneity is inevitable in active matter experiments, it is mostly overlooked in their modelling. Exploiting its geometric simplicity, we fully-resolve the head-on…

Fluid Dynamics · Physics 2020-03-11 Kevin Lippera , Michael Benzaquen , Sebastien Michelin

Spontaneous emergence of organized states in materials driven by non-equilibrium conditions is of significant fundamental and technological interest. In many cases, the organized states are complex, hence, with some well-studied exceptions,…

Soft Condensed Matter · Physics 2021-09-17 Geet Raju , Nikos Kyriakopoulos , Jaakko V. I. Timonen

Driven particle transport in crowded and confining environments is fundamental to diverse phenomena across physics, chemistry, and biology. A main objective in studying such systems is to identify novel emergent states and phases of…

Statistical Mechanics · Physics 2026-02-23 Annika Vonhusen , Sören Schweers , Artem Ryabov , Philipp Maass

We propose a simple deterministic dynamic equation and reveal the mechanism of large-scale endless evolvement of spatial density inhomogeneity in active nematic. We determine the phase regions analytically. The interplay of density,…

Statistical Mechanics · Physics 2010-11-25 Xia-qing Shi , Yu-qiang Ma

Living materials such as membranes, cytoskeletal assemblies, cell collectives and tissues can often be described as active solids -- materials that are energized from within, with elastic response about a well defined reference…

Soft Condensed Matter · Physics 2025-12-15 Yuan Zhou , Lazaros Tsaloukidis , Jack Binysh , Yuchao Chen , Nikta Fakhri , Corentin Coulais , Piotr Surówka

We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations…

Statistical Mechanics · Physics 2015-03-19 Richard L. C. Vink , A. J. Archer

Active matter systems are inherently out of equilibrium and break the detailed balance (DB) at the microscopic scale, exhibiting vital collective phenomena such as motility-induced phase separation (MIPS). Here, we introduce a…

Soft Condensed Matter · Physics 2022-11-30 Jie Su , Zhiyu Cao , Jin Wang , Huijun Jiang , Zhonghuai Hou

Using an activation mechanism reproducing facilitation, a dynamic phase transition triggered by a few active molecules was recently found in a supercooled model liquid. Prompted by this finding we investigate the presence of a similar…

Soft Condensed Matter · Physics 2025-11-14 Quoc Tuan Truong , Victor Teboul

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

We present an overview of phase field modeling of active matter systems as a tool for capturing various aspects of complex and active interfaces. We first describe how interfaces between different phases are characterized in phase field…

Soft Condensed Matter · Physics 2021-02-26 Romain Mueller , Amin Doostmohammadi

Many biological systems consist of self-motile and passive agents both of which contribute to overall functionality. However, there are very few studies of the properties of such mixtures. Here we formulate a model for mixtures of…

Soft Condensed Matter · Physics 2015-05-25 Denis F. Hinz , Alexander Panchenko , Tae-Yeon Kim , Eliot Fried

Achieving a coherent understanding of the many thermodynamic and dynamic anomalies of water is among the most important unsolved puzzles in physics, chemistry, and biology. One hypothesized explanation imagines the existence of a line of…

Statistical Mechanics · Physics 2012-06-01 Tobias Kesselring , Giancarlo Franzese , Sergey Buldyrev , Hans Herrmann , H. Eugene Stanley

Active constituents burn fuel to sustain individual motion, giving rise to collective effects that are not seen in systems at thermal equilibrium, such as phase separation with purely repulsive interactions. There is a great potential in…

Statistical Mechanics · Physics 2024-02-16 Luke K. Davis , Karel Proesmans , Étienne Fodor
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