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We show that phase separation in ordered polar active fluids belongs to a new universality class. This describes large collections of self-propelled entities (``flocks"), all spontaneously moving in the same direction, in which attractive…

Soft Condensed Matter · Physics 2024-01-12 Maxx Miller , John Toner

We calculate the bulk-diffusion coefficient and the conductivity in a broad class of conserved-mass aggregation processes on a ring of discrete sites. These processes involve chipping and fragmentation of masses, which diffuse around and…

Statistical Mechanics · Physics 2021-05-12 Subhadip Chakraborti , Tanmoy Chakraborty , Arghya Das , Rahul Dandekar , Punyabrata Pradhan

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

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

Phase transitions occur when a macroscopic number of local degrees of freedom coherently change their behavior. In ground states of quantum many-body systems, phase transitions due to quantum fluctuations are observed as non-analytic…

Statistical Mechanics · Physics 2026-02-03 István Csépányi , Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Márton Kormos

We introduce two models of biological aggregation, based on randomly moving particles with individual stochasticity depending on the perceived average population density in their neighbourhood. In the first-order model the location of each…

Dynamical Systems · Mathematics 2012-02-22 Martin Burger , Jan Haskovec , Marie-Therese Wolfram

Flocking systems are known to be strongly out of equilibrium. Energy input occurs at the individual level to ensure self-propulsion, and the individual motility in turn contributes to ordering, enhancing information propagation and…

Statistical Mechanics · Physics 2024-05-22 Federica Ferretti , Irene Giardina , Tomas Grigera , Giulia Pisegna , Mario Veca

We find that in generic field theories the combined effect of fluctuations and interactions leads to a probability distribution function which describes fractional Brownian Motion (fBM) and ``complex behavior''. To show this we use the…

Statistical Mechanics · Physics 2009-11-07 David Hochberg , Juan Pérez-Mercader

Motivated by uncertainty quantification in natural transport systems, we investigate an individual-based transport process involving particles undergoing a random walk along a line of point sinks whose strengths are themselves independent…

Statistical Mechanics · Physics 2016-10-26 Matthew J. Russell , Oliver E. Jensen , Tobias Galla

We provide a covariant and gauge-invariant approach to the question of how a first order pressure can be incorporated self-consistently in a cosmological scenario. The approximation is relevant, in the linear regime, to weakly…

Astrophysics · Physics 2009-10-31 D. R. Matravers , J. Triginer

We study random copolymers consisted of two kinds of monomers with attraction between similar kinds. The mean field analysis of this system indicates a continuous phase transition into a phase with periodic microdomain structure. It is…

Condensed Matter · Physics 2009-10-22 A. M. Gutin , C. D. Sfatos , E. I. Shakhnovich

The long timescale evolution of a self-gravitating system is generically driven by two-body encounters. In many cases, the motion of the particles is primarily governed by the mean field potential. When this potential is integrable,…

Astrophysics of Galaxies · Physics 2018-09-26 Jean-Baptiste Fouvry , Ben Bar-Or

We study a two-dimensional crystal composed of active units governed by self-alignment. This mechanism induces a torque that aligns a particle's orientation with its velocity and leads to a phase transition from a disordered to a flocking…

Soft Condensed Matter · Physics 2025-06-17 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

Computational models of collective behavior in birds has allowed us to infer interaction rules directly from experimental data. Using a generic form of these rules we explore the collective behavior and emergent dynamics of a simulated…

Adaptation and Self-Organizing Systems · Physics 2012-07-24 Michael Small , Xiaoke Xu

We analyze quantum fluctuation effects at the onset of charge or spin density wave order in two-dimensional metals with an incommensurate $2k_F$ wave vector connecting a single pair of hot spots on the Fermi surface. We compute the momentum…

Strongly Correlated Electrons · Physics 2018-11-15 Jáchym Sýkora , Tobias Holder , Walter Metzner

We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under…

chao-dyn · Physics 2009-10-28 Shin-ichi Sasa

A single mechanism, endemic to the standard model of physics, is proposed to explain wavefunction collapse, classical motion, dissipation, equilibration, and the transition from pure quantum mechanics through open system decoherence to the…

General Physics · Physics 2024-09-23 J. H. Brownell

A model of the premelting fluctuations is proposed, based on the Landau mean field theory applied to a first-order phase transition. Using the thermodynamic potential, the nonlinear Langevin equation for the order parameter is formulated,…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Pavel Golovinski

Collective actuation in active solids, the spontaneous condensation of the dynamics on a few elastic modes, takes place whenever the deformations of the structure reorient the forces exerted by the active units composing, or embedded in,…

Soft Condensed Matter · Physics 2025-11-21 Paul Baconnier , Vincent Démery , Olivier Dauchot

Collective actuation in active solids - the spontaneous coherent excitation of a few vibrational modes - emerges from a feedback between structural deformations and the orientation of active forces. It is an excellent candidate as a basic…

Soft Condensed Matter · Physics 2025-11-21 Paul Baconnier , Mathéo Aksil , Vincent Démery , Olivier Dauchot