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Correlations between electrons and the effective dimensionality are crucial factors that shape the properties of an interacting electron system. For example, the onsite Coulomb repulsion, U, may inhibit, or completely block the intersite…

Strongly Correlated Electrons · Physics 2007-05-23 T. Valla , P. D. Johnson , Z. Yusof , B. Wells , Q. Li , S. M. Loureiro , R. J. Cava , M. Mikami , Y. Mori , M. Yoshimura , T. Sasaki

High dimensional dynamics play a vital role in brain function, ecological systems, and neuro-inspired machine learning. Where and how these dynamics are confined in the phase space remains challenging to solve. Here, we provide an analytic…

Neurons and Cognition · Quantitative Biology 2024-10-28 Shishe Wang , Haiping Huang

We numerically study the Heisenberg models on triangular lattices by extending it from the simplest equilateral lattice with only the nearest-neighbor exchange interaction. We show that, by including an additional weak next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2021-07-26 Ryui Kaneko , Satoshi Morita , Masatoshi Imada

We study the binary phase separation in active model B, on a two-dimensional substrate with inhomogeneous activity. The activity was introduced with a maximum value at the center of the box and spread as a Bivariate-Gaussian distribution as…

Soft Condensed Matter · Physics 2021-05-24 Ajeya Krishna , Shradha Mishra

We study the dynamics of multipulse solutions in mode-locked lasers in presence of time-delayed feedback stemming, e.g., from reflections upon optical elements, and carrier dynamics. We demonstrate that the dynamics of such a high…

Pattern Formation and Solitons · Physics 2025-03-21 Thomas G. Seidel , Julien Javaloyes , Svetlana V. Gurevich

The structural and dynamical properties of suspensions of self-propelled Brownian particles of spherical shape are investigated in three spatial dimensions. Our simulations reveal a phase separation into a dilute and a dense phase, above a…

Soft Condensed Matter · Physics 2015-05-12 Adam Wysocki , Roland G. Winkler , Gerhard Gompper

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in…

Materials Science · Physics 2009-11-13 Akira Onuki , Akihiko Minami

We show that dense active fluids comprising interacting particles with persistent self-propulsion are driven to a non-equilibrium steady state consisting of co-moving particles with co-aligned active forces. This velocity and force sorting…

Soft Condensed Matter · Physics 2025-09-03 Suman Dutta , Pinaki Chaudhuri , Madan Rao , Chandan Dasgupta

We investigate the emergence of a myriad of phases in the strong coupling regime of the dipolar Hubbard model in two dimensions. By using a combination of numerically unbiased methods in finite systems with analytical perturbative…

Strongly Correlated Electrons · Physics 2019-03-05 Tiago Mendes-Santos , Rubem Mondaini , Thereza Paiva , Raimundo R. dos Santos

We investigate vapor-liquid phase separation of an active near critical Lennard-Jones fluid confined within a cylindrical pore using molecular dynamics simulations. Activity is introduced via Vicsek-type alignment interactions, enabling a…

Soft Condensed Matter · Physics 2026-01-15 Parameshwaran A , Bhaskar Sen Gupta

It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators display low dimensional dynamics. In particular, we derive an explicit finite set of nonlinear ordinary differential equations for the…

Chaotic Dynamics · Physics 2009-11-13 Edward Ott , Thomas M. Antonsen

We numerically examine mixtures of circularly moving and passive disks as a function of density and active orbit radius. For low or intermediate densities and/or small orbit radii, the system can organize into a reversible partially phase…

Soft Condensed Matter · Physics 2019-09-13 C. Reichhardt , C. J. O. Reichhardt

Dynamical systems associated with a q-deformed two dimensional phase space are studied as effective dynamical systems described by ordinary variables. In quantum theory, the momentum operator in such a deformed phase space becomes a…

Mathematical Physics · Physics 2011-03-15 S. Naka , H. Toyoda , T. Takanashi

In our work we have studied a two-dimensional suspension of finite-size Vicsek hard-disks, whose time evolution follows an event-driven dynamics between subsequent time steps. Having compared its collective behaviour with the one expected…

Soft Condensed Matter · Physics 2019-11-26 Raul Martinez , Francisco Alarcon , Diego Rogel Rodriguez , Juan Luis Aragones , Chantal Valeriani

Alignment interactions in active matter are typically modeled as relaxational dynamics toward local consensus. In unbounded systems, this makes alignment effectively decoupled from local density and therefore unable to sustain self-confined…

Soft Condensed Matter · Physics 2026-04-10 Julian Giraldo-Barreto , Viktor Holubec

In ABP systems, phase separation is accompanied by the emergence of vapor bubbles within liquid domains. Using large-scale particle-based simulations, we study the stochastic dynamics of these bubbles and find that most nucleate, grow, and…

Soft Condensed Matter · Physics 2025-01-22 Mingqi Yan , Erwin Frey , Marcus Müller , Stefan Klumpp

The phase behavior of liquids confined in a slit geometry does not reveal a crossover from a three to a two-dimensional behavior as the gap size decreases. Indeed, the prototypical two-dimensional hexatic phase only occurs in liquids…

Soft Condensed Matter · Physics 2021-07-27 Jing Yang , Yan-Wei Li , Massimo Pica Ciamarra

We study one-dimensional exclusion processes in two coupled closed rings consisting of a common diffusive channel and two parallel active (driven) channels. Our model displays bulk-driven phase transition and phase coexistence in the form…

Statistical Mechanics · Physics 2013-03-27 Rakesh Chatterjee , Anjan Kumar Chandra , Abhik Basu

We present experimental and theoretical results on formation of quantum vortices in a laser beam propagating in a nonlinear medium. Topological constrains richer than the mere conservation of vorticity impose an elaborate dynamical behavior…

Optics · Physics 2024-01-22 Thibault Congy , Pierre Azam , Robin Kaiser , Nicolas Pavloff

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles. We have evaluated state diagrams at several concentrations of the passive components finding that,…

Soft Condensed Matter · Physics 2025-11-12 Diego Rogel Rodriguez , Francisco Alarcon , Raul Martinez , Jorge Ramirez , Chantal Valeriani