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Pattern formation in the classical and fractional Schnakenberg equations is studied to understand the nonlocal effects of anomalous diffusion. Starting with linear stability analysis, we find that if the activator and inhibitor have the…

Pattern Formation and Solitons · Physics 2021-06-21 Hatim Khudhair , Yanzhi Zhang , Nobuyuki Fukawa

Water is an unique material with a long list of thermodynamic, dynamic and structural anomalies, which are usually attributed to the competition between two characteristic length scales in the intermolecular interaction. It has been argued…

Statistical Mechanics · Physics 2021-06-25 Murilo S. Marques , Vinicius Fonseca Hernandes , Enrique Lomba , J. Rafael Bordin

We investigate the phase structure of an asymmetric fermion superfluid with inter- and intra-species pairings. The introduction of the intra-species pairing mechanism in canonical ensemble changes significantly the phase diagram and brings…

Superconductivity · Physics 2009-11-11 Xuguang Huang , Xuewen Hao , Pengfei Zhuang

We study the properties of spin systems realized by cold polar molecules interacting via dipole-dipole interactions in two dimensions. Using a spin wave theory, that allows for the full treatment of the characteristic long-distance tail of…

Quantum Gases · Physics 2012-07-12 David Peter , Steffen Müller , Stefan Wessel , Hans Peter Büchler

We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analyzing the stationary distribution of their separation, we demonstrate…

Statistical Mechanics · Physics 2025-10-08 Ritwick Sarkar , Sreya Chatterjee , Urna Basu

The dynamics of a coupled two-component nonequilibrium system is examined by means of continuum field theory representing the corresponding master equation. Particles of species A may perform hopping processes only when particles of…

Statistical Mechanics · Physics 2009-10-31 S. Trimper , U. C. Taeuber , G. M. Schuetz

We consider the phase behavior of two-dimensional ($2D$)system of particles with an isotropic core-softened potential introduced in our previous publications. As one can expect from the qualitative consideration for the three dimensional…

Soft Condensed Matter · Physics 2015-06-18 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

Systems of active particles can show a large variety of collective behavior. In theory, two aspects determine the collective behavior: the model at the particle level and the parameter regime. While many studies consider a single model and…

Soft Condensed Matter · Physics 2025-11-17 Colin-Marius Koch , Michael Wilczek

We consider the driven dynamics of a probe particle moving through an assembly of particles with competing long-range repulsive and short-range attractive interactions, which form crystal, stripe, labyrinth, and bubble states as the ratio…

Soft Condensed Matter · Physics 2025-01-10 C. Reichhardt , C. J. O. Reichhardt

Sub-diffusion in biological systems is conventionally treated as anomalous, requiring fractional derivatives, heavy-tailed waiting times, or fitted memory kernels. We argue that this anomaly is an artifact of an incomplete phase space.…

Statistical Mechanics · Physics 2026-05-19 Patrick BarAvi

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

Using molecular dynamic simulations we study a waterlike model confined between two fixed hydrophobic plates. The system is tested for density, diffusion and structural anomalous behavior and compared with the bulk results. Within the range…

Chemical Physics · Physics 2013-03-06 Leandro Batirolla Krott , Marcia Cristina Bernardes Barbosa

Phase separation is a fairly common physical phenomenon with examples including the formation of water droplets from humid air (fog, rain), the separation of a crystalline structure from an isotropic material such as a liquid or even the…

Probability · Mathematics 2007-05-23 Ágoston Pisztora

Tetrahedral interactions describe the behaviour of the most abundant and technologically important materials on Earth, such as water, silicon, carbon, germanium, and countless others. Despite their differences, these materials share unique…

Soft Condensed Matter · Physics 2018-04-13 John Russo , Kenji Akahane , Hajime Tanaka

Compared to pure fluids, binary mixtures display a very diverse phase behavior, which depends sensitively on the parameters of the microscopic potential. Here we investigate the phase diagrams of simple model mixtures by use of a…

Soft Condensed Matter · Physics 2009-11-07 A. Parola , D. Pini , L. Reatto , M. Tau

Patchy colloidal model with three and four equivalent patches, confined in the attractive random porous media, undergo re-entrant gas-liquid phase separation with the possibility for the liquid phase density to approach zero. This unusual…

Soft Condensed Matter · Physics 2022-05-11 Taras Hvozd , Yurij V. Kalyuzhnyi , Vojko Vlachy , Peter T. Cummings

We propose a computational method to simulate anomalous self-diffusion in a simple liquid. The method is based on a molecular dynamics simulation on which we impose the following two conditions: firstly, the inter-particle interaction is…

Statistical Mechanics · Physics 2010-04-07 Simon Standaert , Jan Ryckebusch , Lesley De Cruz

We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a theoretical ground for our findings, we exploit mean-field…

Statistical Mechanics · Physics 2021-08-04 Akriti Jindal , Arvind Kumar Gupta

There are many examples of driven and active matter systems containing particles that exhibit circular motion with different chiralities, such as swimming bacteria near surfaces or certain types of self-driven colloidal particles. Circular…

Statistical Mechanics · Physics 2015-06-16 C. Reichhardt , C. J. Olson Reichhardt
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