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Self-propelled particles undergoing persistent motion can accumulate either through excluded-volume interactions or through quorum sensing, where self-propulsion decreases at high local density. Using kinetic balance theory and simulations,…

Soft Condensed Matter · Physics 2025-12-03 L. de Souza , E. F. Teixeira , G. M. Viswanathan , P. Sollich , P. de Castro

We study an array of coupled optical cavities in presence of two-photon driving and dissipation. The system displays a critical behavior similar to that of a quantum Ising model at finite temperature. Using the corner-space renormalization…

Quantum Physics · Physics 2019-03-22 Riccardo Rota , Fabrizio Minganti , Cristiano Ciuti , Vincenzo Savona

We consider the critical behavior of two-dimensional layered Ising models where the exchange couplings between neighboring layers follow hierarchical sequences. The perturbation caused by the non-periodicity could be irrelevant, relevant or…

Condensed Matter · Physics 2009-10-28 Ferenc Igloi , Peter Lajko , Ferenc Szalma

A prototypical model of symmetry-broken active matter -- biased quorum-sensing active particles (bQSAPs) -- is used to extend notions of dynamic critical phenomena to the paradigmatic setting of driven transport, where characteristic…

Statistical Mechanics · Physics 2025-06-26 Richard E. Spinney , Richard G. Morris

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

In this work we studied the critical behavior of the critical point as function of the number of nearest neighbors on two dimensional regular lattices. We performed numerical simulations on triangular, hexagonal and bilayer square lattices.…

Statistical Mechanics · Physics 2014-05-12 A. L. Acuña-Lara , F. Sastre , J. R. Vargas-Arriola

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, $O(2)$ or $O(4)$ spin models, the critical behavior of…

Statistical Mechanics · Physics 2015-06-16 Xue Pan , Lizhu Chen , X. S. Chen , Yuanfang Wu

A central quantity of importance for ultracold atoms is contact, which measures two-body correlations at short distances in dilute systems. It appears in universal relations among thermodynamic quantities, such as large momentum tails,…

Quantum Gases · Physics 2015-06-19 Y. -Y. Chen , Y. -Z. Jiang , X. -W. Guan , Qi Zhou

Activated Random Walk is a system of interacting particles which presents a phase transition and a conjectured phenomenon of self-organized criticality. In this note, we prove that, in dimension 1, in the supercritical case, when a segment…

Probability · Mathematics 2025-03-28 Nicolas Forien

Critical properties of the dynamical phase transition in the quenched generalized Bose-Anderson impurity model are studied in the mean-field limit of an infinite number of channels. The transition separates the evolution toward ground state…

Quantum Gases · Physics 2017-05-24 Dmitry V. Chichinadze , Alexey N. Rubtsov

We analyze the critical gas-liquid phase behavior of arbitrary fluid mixtures in their coexistence region. We focus on the setting relevant for polydisperse colloids, where the overall density and composition of the system are being…

Soft Condensed Matter · Physics 2019-11-22 Pablo de Castro , Peter Sollich

Universality classes encompass the analogous thermodynamic behavior of unlike physical systems, at different spatial dimensions $d$, in the vicinity of their critical point. Critical exponents define these classes, with the Ising model…

Statistical Mechanics · Physics 2026-02-06 D. Olascoaga-Rodríguez , F. Sastre , V. Romero-Rochín

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles…

Statistical Mechanics · Physics 2017-01-18 Daniel Hexner , Dov Levine

We study the critical behavior of a general contagion model where nodes are either active (e.g. with opinion A, or functioning) or inactive (e.g. with opinion B, or damaged). The transitions between these two states are determined by (i)…

Physics and Society · Physics 2017-02-24 Lucas Böttcher , Jan Nagler , Hans J. Herrmann

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

Properties of nanoparticles have been studied within the framework of Ising model and the method of random-field interactions: the average magnetic moment and position of critical points of the magnetic and the concentration phase…

Mesoscale and Nanoscale Physics · Physics 2014-02-21 Yury Kirienko , Leonid Afremov

We develop a dynamic mean-field theory for polar active particles that interact through a self-generated field, in particular one generated through emitting a chemical signal. While being a form of chemotactic response, it is different from…

Statistical Mechanics · Physics 2020-01-15 Andreas Fischer , Friederike Schmid , Thomas Speck

Self-propulsion in run-and-tumble particles (RTPs) generates effective attractive interactions that can drive motility-induced phase separation (MIPS), a phenomenon absent in passive systems. Here, we investigate RTPs in the presence of…

Statistical Mechanics · Physics 2025-10-22 Abir Bhowmick , Sayantan Mitra , P. K. Mohanty

We study in detail the active Ising model, a stochastic lattice gas where collective motion emerges from the spontaneous breaking of a discrete symmetry. On a 2d lattice, active particles undergo a diffusion biased in one of two possible…

Statistical Mechanics · Physics 2015-10-12 A. P. Solon , J. Tailleur