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Related papers: Scalar Active Mixtures: The Non-Reciprocal Cahn-Hi…

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We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual-based model reveal at least three distinct large-scale…

We study travelling-wave spatially periodic solutions of a forced Cahn-Hilliard equation. This is a model for phase separation of a binary mixture, subject to external forcing. We look at arbitrary values of the mean mixture concentration,…

Dynamical Systems · Mathematics 2018-08-31 Lennon O'Naraigh

We present a non-standard Hubbard model applicable to arbitrary single-particle potential profiles and inter-particle interactions. Our approach involves a novel treatment of Wannier functions, free from the ambiguities of conventional…

Strongly Correlated Electrons · Physics 2024-05-14 M. Zendra , F. Borgonovi , G. L. Celardo , S. Gurvitz

A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the configurations of locked solutions (equilibria) and how the…

Chaotic Dynamics · Physics 2025-04-16 Matheus Jean Lazarotto , Iberê Luiz Caldas , Yves Elskens

Certain types of active systems can be treated as an equilibrium system with excess non-conservative forces driving some of the microscopic degrees of freedom. We derive results for how many particles interacting with each other with both…

Statistical Mechanics · Physics 2021-02-24 Dino Osmanovic

Interaction quenches in strongly correlated electron systems provide a powerful route to probe nonequilibrium many-body dynamics. For the Hubbard model, nonequilibrium dynamical mean-field theory has revealed coherent post-quench…

Strongly Correlated Electrons · Physics 2026-01-30 Sankha Subhra Bakshi , Gia-Wei Chern

We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic properties and a liquid phase. The model is formulated in the…

Analysis of PDEs · Mathematics 2022-04-12 Abramo Agosti , Pierluigi Colli , Harald Garcke , Elisabetta Rocca

The heliosphere is predominantly a partially ionized plasma that consists of electrons, ions and significant neutral atoms. Nonlinear interactions amongst these species take place through direct collision or charge exchange processes. These…

Space Physics · Physics 2015-05-20 M. E. Kellum , Dastgeer Shaikh

We study a new type of 2D active material that exhibits macroscopic phases with two emergent broken symmetries: self-propelled achiral particles that form dense hexatic clusters, which spontaneously rotate. We experimentally realise active…

We investigate active particles that exhibit long-range interactions only restricted by a field of view, which is characterized by an angle $\beta$. We show that constraining attractive interactions to a field of view leads to the emergence…

Biological Physics · Physics 2026-04-03 Edgardo Brigatti , Fernando Peruani

Phase-separating active systems can display phenomenology that is impossible in equilibrium. The binodal densities are not solely determined by a bulk (effective) free energy, but also affected by gradient terms, while capillary waves and…

Statistical Mechanics · Physics 2026-01-26 Sumeja Bureković , Filippo De Luca , Michael E. Cates , Cesare Nardini

We develop a mesoscopic field theory for the collective nonequilibrium dynamics of multicomponent mixtures of interacting active (i.e., motile) and passive (i.e., nonmotile) colloidal particles with isometric shape in two spatial…

Soft Condensed Matter · Physics 2018-02-12 Raphael Wittkowski , Joakim Stenhammar , Michael E. Cates

Starting from the kinetic approach for a mixture of reacting gases whose particles interact through elastic scattering and a bimolecular reversible chemical reaction, the equations that govern the dynamics of the system are obtained by…

Soft Condensed Matter · Physics 2009-11-10 A. Rossani , A. M. Scarfone

We derive a non-linear sigma-model for the transport of light (classical waves) through a disordered medium. We compare this extension of the model with the well-established non-linear sigma-model for the transport of electrons…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

We consider a system of N non-relativistic spinless quantum particles (``electrons'') interacting with a quantized scalar Bose field (whose excitations we call ``photons''). We examine the case when the velocity v of the electrons is small…

Mathematical Physics · Physics 2008-11-26 L. Tenuta , S. Teufel

In a bilayered system of particles with wake-mediated interactions, the action-reaction symmetry for the effective forces between particles of different layers is broken. Under quite general conditions we show that, if the interaction…

Statistical Mechanics · Physics 2016-06-22 Jörg Bartnick , Andreas Kaiser , Hartmut Löwen , Alexei Ivlev

We report the results of a numerical study of nonequilibrium steady states for a class of Hamiltonian models. In these models of coupled matter-energy transport, particles exchange energy through collisions with pinned-down rotating disks.…

Statistical Mechanics · Physics 2015-05-18 Kevin K. Lin , Lai-Sang Young

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

Soft Condensed Matter · Physics 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier

In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially…

Pattern Formation and Solitons · Physics 2022-02-22 Frederik J. Thomsen , Lisa Rapp , Fabian Bergmann , Walter Zimmermann

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting…

Statistical Mechanics · Physics 2025-05-16 Abhishek Raj , Vadim Oganesyan , Antonello Scardicchio