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Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their vision of…

Pattern Formation and Solitons · Physics 2023-07-07 Thomas Jun Jewell , Andrew L. Krause , Philip K. Maini , Eamonn A. Gaffney

The effects of an externally applied one-dimensional periodic potential on the freezing/melting behaviour of two-dimensional systems of colloidal particles with a short-range attractive interaction are studied using Monte Carlo simulations.…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Chinmay Das , Chandan Dasgupta , H. R. Krishnamurthy , A. K. Sood

The structure of a nonuniform Lennard-Jones (LJ) liquid near a hard wall is approximated by that of a reference fluid with repulsive intermolecular forces in a self-consistently determined external mean field incorporating the effects of…

Statistical Mechanics · Physics 2009-10-31 John D. Weeks , Kirill Katsov , Katharina Vollmayr

The equilibrium behavior of binary mixtures can be understood through the competition of energy scales, which classifies their corresponding phase diagrams into distinct topological regimes (Types I-IV). However, in many soft-matter…

We report results of a Wang-Landau study of the random bond square Ising model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic interactions. We consider the case $R=J_{nn}/J_{nnn}=1$ for which the…

Statistical Mechanics · Physics 2008-07-24 N. G. Fytas , A. Malakis , I. Georgiou

We consider fluids where the attractive interaction at distances slightly larger than the particle size is dominated at larger distances by a repulsive contribution. A previous investigation of the effects of the competition between…

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

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

A $d$-dimensional branching diffusion, $Z$, is investigated, where the linear attraction or repulsion between particles is competing with an Ornstein-Uhlenbeck drift, with parameter $b$ (we take $b>0$ for inward O-U and $b<0$ for outward…

Probability · Mathematics 2016-10-10 Janos Englander , Liang Zhang

We present new method for studying the equilibrium properties of interacting fluids in an arbitrary external filed. The method is valid in any dimension and it yields an exact results in one dimension. Using this approach, we derive a…

Soft Condensed Matter · Physics 2017-02-17 Benaoumeur Bakhti

We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves. We find that, while the basic…

Pattern Formation and Solitons · Physics 2015-05-19 C. Wang , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

A mesoscopic multi-component lattice Boltzmann model with short-range repulsion between different species and short/mid-ranged attractive/repulsive interactions between like-molecules is introduced. The interplay between these composite…

Soft Condensed Matter · Physics 2010-09-14 Roberto Benzi , Sergio Chibbaro , Sauro Succi

Two important classes of spatio-temporal patterns, namely, spatio-temporal chaos and self-replicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with diffusion has been studied. The…

chao-dyn · Physics 2015-06-24 Nita Parekh , V. Ravi Kumar , B. D. Kulkarni

Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopf bifurcations is studied in a reaction-diffusion equation. The time delay changes remarkably the oscillation frequency, the intrinsic…

Pattern Formation and Solitons · Physics 2015-05-30 Huijuan Wang , Zhi Ren

A simple Lennard-Jones fluid confined in a slit nanopore with hard walls is studied on the basis of a multilayer structured model. Each layer is homogeneous and parallel to the walls of the pore. The Helmholtz energy of this system is…

Mesoscale and Nanoscale Physics · Physics 2010-03-17 G. J. Zarragoicoechea , A. G. Meyra , V. A. Kuz

The May--Leonard model was introduced to examine the behavior of three competing populations where rich dynamics, such as limit cycles and nonperiodic cyclic solutions, arise. In this work, we perturb the system by adding the capability of…

Dynamical Systems · Mathematics 2023-06-21 Gabriela Jaramillo , Lidia Mrad , Tracy L. Stepien

We investigate the attractive Hubbard model in infinite spatial dimensions by combining dynamical mean-field theory with a strong-coupling continuous-time quantum Monte Carlo method. By calculating the superfluid order parameter and the…

Quantum Gases · Physics 2011-09-30 Akihisa Koga , Philipp Werner

Vapor-liquid menisci of the truncated and shifted Lennard-Jones fluid between parallel planar walls are investigated by molecular dynamics simulation. Thereby, the characteristic energy of the unlike dispersive interaction between fluid…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Martin Horsch , Martina Heitzig , Calin Dan , Jens Harting , Hans Hasse , Jadran Vrabec

A theory for chemical reaction dynamics in condensed phase systems based on the generalized Langevin formalism of Grote and Hynes is presented. A microscopic approach to calculate the dynamic friction is developed within the framework of a…

Statistical Mechanics · Physics 2009-11-10 Nurit Shental , Eran Rabani

The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with membrane receptors by homogenizing the cell membrane and…

Quantitative Methods · Quantitative Biology 2025-01-24 Anil Cengiz , Sean D Lawley

We present a comparative modelling study of fluid-structure interactions in microchannels. Through a mathematical analysis based on plate theory and the lubrication approximation for low-Reynolds-number flow, we derive models for the flow…

Fluid Dynamics · Physics 2020-07-10 Tanmay C. Shidhore , Ivan C. Christov
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