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Fluids with competing short-range attractions and long-range repulsions mimic dispersions of charge-stabilized colloids that can display equilibrium structures with intermediate range order (IRO), including particle clusters. Using…

Soft Condensed Matter · Physics 2015-05-01 Ryan B. Jadrich , Jonathan A. Bollinger , Keith P. Johnston , Thomas M. Truskett

We study the phase diagram of two different Hamiltonians with competiting local, nearest-neighbour, and mean-field couplings. The first example corresponds to the HMF Hamiltonian with an additional short-range interaction. The second…

Statistical Mechanics · Physics 2010-06-17 Thierry Dauxois , Pierre de Buyl , Leonardo Lori , Stefano Ruffo

We study closed liquid membranes that segregate into three phases due to differences in the chemical and physical properties of its components. The shape and in-plane membrane arrangement of the phases are coupled through phase-specific…

Soft Condensed Matter · Physics 2012-08-17 Matthew F. Demers , Rastko Sknepnek , Monica Olvera de la Cruz

We introduce a new coarse grain model capable of describing the phase behavior of two dimensional ferromagnetic systems with competing exchange and dipolar interactions, as well as an external magnetic field. An improved expression for the…

Statistical Mechanics · Physics 2016-10-20 Alejandro Mendoza-Coto , Orlando V. Billoni , Sergio A. Cannas , Daniel A. Stariolo

A site-site interaction model is proposed for water in two-dimension, as an alternative to the traditional Mercedes-Benz model. In MB model, water molecules are modeled as 2-dimensional Lennard-Jones disks with three hydrogen bonding arms…

Chemical Physics · Physics 2023-06-02 Tangi Baré , Maxime Besserve , Tomaz Urbic , Aurélien Perera

Using Monte Carlo Simulation and fundamental measure theory we study the phase diagram of a two-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearest neighbors finite repulsive interaction. The…

Soft Condensed Matter · Physics 2012-02-02 Noe G. Almarza , Jose A. Capitan , Jose A. Cuesta , Enrique Lomba

We investigate the canonical equilibrium of systems with long-range forces in competition. These forces create a modulation in the interaction potential and modulated phases appear at the system scale. The structure of these phases…

Statistical Mechanics · Physics 2015-06-12 Romain Bachelard , F. Staniscia

Patterned vegetation is a characteristic feature of many dryland ecosystems. While plant densities on the ecosystem-wide scale are typically low, a spatial self-organisation principle leads to the occurrence of alternating patches of high…

Populations and Evolution · Quantitative Biology 2020-05-05 Lukas Eigentler

To investigate novel aspects of pattern formation in spin systems, we use a mapping between reactive concentrations in a reaction-diffusion system and spin orientations in a dynamic multiple-spin Ising model. While pattern formation in…

Adaptation and Self-Organizing Systems · Physics 2019-10-15 Mélody Merle , Laura Messio , Julien Mozziconacci

Dipolar interactions govern the structure and dynamics of many soft-matter systems, from molecular to colloids assemblies. When dipole moments are induced by an external field, mutual interactions lead to a many-body magnetization response…

Soft Condensed Matter · Physics 2026-01-30 Lucas H. P. Cunha

One of the classical models in mathematical biology is the Lotka-Volterra competition model, describing the dynamics of two populations competing for resources. Two possible regimes in this system are given by their coexistence or…

Analysis of PDEs · Mathematics 2024-11-04 Valentina Bucur , Dr Bakhtier Vasiev

Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim…

Fluid Dynamics · Physics 2019-03-11 Mustapha Amaouche , Giuseppe Di Labbio

We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by…

patt-sol · Physics 2009-10-31 Andrey Maimistov , Boris Malomed , Anton Desyatnikov

I show that a model for the interaction of magnetic domains that includes a short range ferromagnetic and a long range dipolar anti-ferromagnetic interaction reproduces very well many characteristic features of two-dimensional magnetic…

Statistical Mechanics · Physics 2009-11-10 E. A. Jagla

We use molecular simulations to demonstrate the connection between transverse water-water correlations and wetting phenomena for a range of hydrophobic to hydrophilic solid surfaces.Near superhydrophobic surfaces, the correlations are long…

Soft Condensed Matter · Physics 2014-09-10 Rahul Godawat , Sumanth N. Jamadagni , Vasudevan Venkateshwaran , Shekhar Garde

The effects of mid-range repulsion in Lattice Boltzmann models on the coalescence/breakup behaviour of single-component, non-ideal fluids are investigated. It is found that mid-range repulsive interactions allow the formation of spray-like,…

Fluid Dynamics · Physics 2015-05-19 S. Chibbaro , G. Falcucci , G. Chiatti , H. Chen , X. Shan , S. Succi

Fluid-structure interaction models involve parameters that describe the solid and the fluid behavior. In simulations, there often is a need to vary these parameters to examine the behavior of a fluid-structure interaction model for…

Numerical Analysis · Mathematics 2020-04-24 Roman Weinhandl , Peter Benner , Thomas Richter

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

Interference patterns associated with soliton-soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics. The period of the spatial interference…

Pattern Formation and Solitons · Physics 2017-02-20 Li-Chen Zhao , Liming Ling , Zhan-Ying Yang , Jie Liu

It is proposed that the spatial (and temporal) patterns spontaneously appearing in dissipative systems maximize the energy flow through the pattern forming interface. In other words - the patterns maximize the entropy growth rate in an…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kestutis Staliunas