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We study the out-of-equilibrium time evolution after a local quench connecting two anisotropic spin-1/2 XXZ Heisenberg open chains via an impurity bond. The dynamics is obtained by means of the adaptive time-dependent density-matrix…

Statistical Mechanics · Physics 2013-04-11 Mario Collura , Pasquale Calabrese

The effect of the anisotropy in the exchange interaction on the phase diagrams and magnetization behavior of the Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling…

Statistical Mechanics · Physics 2015-06-17 Ümit Akıncı

We consider anisotropic colloidal particles immersed in a solution of long, flexible, and nonadsorbing polymers. For the dumbbell shapes of recently synthesized particles consisting of two intersecting spheres and for lens-shaped particles…

Statistical Mechanics · Physics 2009-11-11 E. Eisenriegler , A. Bringer

We investigate the time dynamics of quantum correlations of the anisotropic Heisenberg model in a time-dependent magnetic field, in one-dimensional, ladder, and two-dimensional lattices. We find that quantum correlation measures in the…

Quantum Physics · Physics 2013-06-03 Utkarsh Mishra , R. Prabhu , Aditi Sen De , Ujjwal Sen

The theory of phase transitions is based on the consideration of "idealized" models, such as the Ising model: a system of magnetic moments living on a cubic lattice and having only two accessible states. For simplicity the interaction is…

Statistical Mechanics · Physics 2011-12-22 H Chamati , S Romano

Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scaling hypothesis, we derive from the microscopic model a…

Analysis of PDEs · Mathematics 2019-06-04 J. Barré , P. Degond , D. Peurichard , E. Zatorska

In this paper, we have studied an interacting dark energy model. We have assumed the gravitational interaction between the matter fields i.e. between barotropic fluid and the dark energy. The dark energy evolution within the framework of…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Keshav Ram Mishra , Shibesh Kumar Jas Pacif , Rajesh Kumar , Kazuharu Bamba

We show that interfacial nonreciprocity transforms defect dynamics in conserved scalar fields within the framework of the Nonreciprocal Cahn-Hilliard model. Nonreciprocal surface tension alone produces intermittently stable defects:…

Soft Condensed Matter · Physics 2026-05-25 Laya Parkavousi , Suropriya Saha

We introduce a simple spherical model whose structural properties are similar to the ones generated by models with directional interactions, by employing a binary mixture of large and small hard spheres, with a square-well attraction acting…

Disordered Systems and Neural Networks · Physics 2009-11-13 Emanuela Zaccarelli , Francesco Sciortino , Piero Tartaglia

We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modelled by limited sensorial perception of individuals, that depends on their current direction of motion.…

Classical Analysis and ODEs · Mathematics 2014-06-05 Joep H. M. Evers , Razvan C. Fetecau , Lenya Ryzhik

The scattering formulation of characteristic mode decomposition is utilized to extend modal analysis to lossless scatterers breaking time-reversal symmetry. This enables characteristic modes analysis on devices containing gyrotropic or…

Nonlinear models for pattern evolution by ion beam sputtering on a material surface present an ongoing opportunity for new numerical simulations. A numerical analysis of the evolution of preexisting patterns is proposed to investigate…

Materials Science · Physics 2021-04-30 E. Vitral , D. Walgraef , J. Pontes , G. R. Anjos , N. Mangiavacchi

Weakly nonlinear amplitude equations are derived for the onset of spatially extended patterns on a general class of n-component bulk-surface reaction-diffusion systems in a ball, under the assumption of linear kinetics in the bulk and…

Pattern Formation and Solitons · Physics 2025-05-27 Edgardo Villar-Sepúlveda , Alan R. Champneys , Davide Cusseddu , Anotida Madzvamuse

We propose a decomposition of constitutive relations into crack-driving and persistent portions, specifically designed for materials with anisotropic/orthotropic behavior in the phase field approach to fracture to account for the…

Numerical Analysis · Mathematics 2022-12-28 Vahid Ziaei-Rad , Mostafa Mollaali , Thomas Nagel , Olaf Kolditz , Keita Yoshioka

This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy…

Analysis of PDEs · Mathematics 2011-07-27 Dominique Blanchard , Georges Griso

A generalized notion of a nonlocal tensor order parameter is introduced within the framework of the phenomenological approach. This parameter has the form of a traceless tensor correlation function or a tensor integral operator. Based on…

Soft Condensed Matter · Physics 2017-07-14 Alexey N. Kudryavtsev , Petr A. Purtov , Sergey I. Trashkeev

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

We investigate the behaviour of the skewness parameters for an anisotropic universe in the framework of General Relativity. Non interacting dark energy is considered in presence of electromagnetic field. A time varying deceleration…

General Physics · Physics 2022-07-19 B. Mishra , Pratik P Ray , S. K. Tripathy , Kazuharu Bamba

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

Soft Condensed Matter · Physics 2025-10-07 Ana M. Montero

We explore the formation of one-dimensional two-component quantum droplets with intercomponent particle imbalance using an ab-initio many-body method. It is shown that for moderate particle imbalance each component maintains its droplet…

Quantum Gases · Physics 2024-09-02 I. A. Englezos , P. Schmelcher , S. I. Mistakidis