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We show that the flocking transition in the Vicsek model is best understood as a liquid-gas transition, rather than an order-disorder one. The full phase separation observed in flocking models with Z2 rotational symmetry is, however,…

Statistical Mechanics · Physics 2015-04-03 Alexandre P. Solon , Hugues Chaté , Julien Tailleur

We introduce a systematic classification method for the analogs of phase transitions in finite systems. This completely general analysis, which is applicable to any physical system and extends towards the thermodynamic limit, is based on…

Statistical Mechanics · Physics 2015-05-28 Stefan Schnabel , Daniel T. Seaton , David P. Landau , Michael Bachmann

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

Statistical Mechanics · Physics 2007-11-06 Ajay Patwardhan

We investigate the behavior of entanglement entropy in the holographic QCD model proposed by Gubser et al. By choosing suitable parameters of the scalar self-interaction potential, this model can exhibit various types of phase structures:…

High Energy Physics - Theory · Physics 2017-01-31 Shao-Jun Zhang

We propose a method to identify the order of a Quantum Phase Transition by using area measures of the ground state in phase space. We illustrate our proposal by analyzing the well known example of the Quantum Cusp, and four different…

Quantum Physics · Physics 2016-10-13 O. Castaños , M. Calixto , F. Pérez-Bernal , E. Romera

We investigate the effects of long-range social interactions in flocking dynamics by studying the dynamics of a scalar model of collective motion embedded in a complex network representing a pattern of social interactions, as observed in…

Physics and Society · Physics 2019-10-23 M. Carmen Miguel , Romualdo Pastor-Satorras

The pattern of isentropes in the vicinity of a first-order phase transition is proposed as a key for a sub-classification. While the confinement--deconfinement transition, conjectured to set in beyond a critical end point in the QCD phase…

High Energy Physics - Phenomenology · Physics 2016-05-25 Falk Wunderlich , Roman Yaresko , Burkhard Kampfer

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

Statistical Mechanics · Physics 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

It is frequent for active or living entities to find themselves embedded in a surrounding medium. Resulting composite systems are usually classified as either active fluids or active solids. Yet, in reality, particularly in the biological…

Soft Condensed Matter · Physics 2025-11-07 Henning Reinken , Andreas M. Menzel

We propose a general statistical mechanics framework for the collective motion of animals. The framework considers the principle of maximum entropy, the interaction, boundary, and desire effects, as well as the time-delay effect. These…

Biological Physics · Physics 2022-01-03 Jiacheng Cai , Jianlong Zhang , Xuan Chen , Cai Wang

We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates the parameter…

Molecular Networks · Quantitative Biology 2013-05-24 G. Menichetti , G. Bianconi , E. Giampieri , G. Castellani , D. Remondini

Biomolecular condensates are essential for cellular organization and result from phase separation in systems far from thermodynamic equilibrium. Among various models, chemically active droplets play a significant role, consisting of…

Soft Condensed Matter · Physics 2025-05-19 Jacques Fries , Roxanne Berthin , Chengjie Luo , Marie Jardat , David Zwicker , Vincent Dahirel , Pierre Illien

The goal of animal movement analysis is to understand how organisms explore and exploit the complex and varying environment. Animals usually exhibit varied and complicated movements, from apparently deterministic behaviors to highly random…

Quantitative Methods · Quantitative Biology 2014-01-17 Xiaofeng Liu , Ning Xu , Aimin Jiang

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

The evolution of non-interacting bosons in the presence of repeated projective measurements is studied. Following the established approach, this monitored evolution is characterized by the first detected return and the first detected…

Quantum Physics · Physics 2024-08-09 Quancheng Liu , Klaus Ziegler

Active matter has been intensely studied for its wealth of intriguing properties such as collective motion, motility-induced phase separation (MIPS), and giant fluctuations away from criticality. However, the precise connection of active…

Statistical Mechanics · Physics 2019-04-17 Juliane U. Klamser , Sebastian C. Kapfer , Werner Krauth

Active matter consumes energy from the environment and transforms it into mechanical work. Notable examples from biology include cell division, bacterial swarms, and muscle contraction. In this work, we investigate the nature of active…

Soft Condensed Matter · Physics 2023-09-28 Michael J. Landry

Group-based reinforcement can induce discontinuous transitions from inactive to active phases in higher-order contagion models. However, these results are typically obtained on static interaction structures or within mean-field…

Liquid-liquid phase separation is important across biology, physics, and materials science. Although usually studied at equilibrium, active components - such as motor proteins, enzymes, and synthetic microswimmers - are increasingly…

Soft Condensed Matter · Physics 2026-01-06 Kan Chang , Yulin Li , Ming Yuan , Masaki Sano , Zhihong You , H. P. Zhang

We compare two calculations of the particle density in the superfluid phase of the classical XY model with a chemical potential $\mu$ in 1+1 dimensions.The first relies on exact blocking formulas from the Tensor Renormalization Group (TRG)…

Statistical Mechanics · Physics 2016-01-26 Li-Ping Yang , Yuzhi Liu , Haiyuan Zou , Z. Y. Xie , Y. Meurice