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We investigate by means of a number of different dynamical Monte Carlo simulation methods the self-assembly of equilibrium polymers in dilute, semidilute and concentrated solutions under good-solvent conditions. In our simulations, both…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , P. van der Schoot , A. Milchev , J. -L. Barrat

A polymer chain tethered to a surface may be compact or extended, adsorbed or desorbed, depending on interactions with the surface and the surrounding solvent. This leads to a rich phase diagram with a variety of transitions. To investigate…

Soft Condensed Matter · Physics 2009-11-13 Jutta Luettmer-Strathmann , Federica Rampf , Wolfgang Paul , Kurt Binder

We consider the numerical approximation of the filtering problem in high dimensions, that is, when the hidden state lies in $\mathbb{R}^d$ with $d$ large. For low dimensional problems, one of the most popular numerical procedures for…

Computation · Statistics 2014-12-12 Alex Beskos , Dan Crisan , Ajay Jasra , Kengo Kamatani , Yan Zhou

We investigate the behavior of a mixture of asymmetric colloidal dumbbells and emulsion droplets by means of kinetic Monte Carlo simulations. The evaporation of the droplets and the competition between droplet-colloid attraction and…

Soft Condensed Matter · Physics 2016-05-24 Hai Pham Van , Andrea Fortini , Matthias Schmidt

We model the (holographic) QCD Pomeron as a long and stretched (fixed impact parameter) transverse quantum string in flat $D_\perp=3$ dimensions. After discretizing the string in $N$ string bits, we analyze its length, mass and spatial…

High Energy Physics - Phenomenology · Physics 2021-02-12 Yachao Qian , Ismail Zahed

An efficient Path Integral Monte Carlo procedure is proposed to simulate the behavior of quantum many-body dissipative systems described within the framework of the influence functional. Thermodynamic observables are obtained by Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

Using Monte Carlo techniques, we study a simple model which exhibits a competition between superconductivity and other types of order in two dimensions. The model is a site-diluted XY model, in which the XY spins are mobile, and also…

Superconductivity · Physics 2009-11-11 Daniel Valdez-Balderas , David Stroud

We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean…

High Energy Physics - Lattice · Physics 2011-04-20 S. Catterall , J. Kogut , R. Renken

We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Matteo Palassini , Sergio Caracciolo

We simulated random walk of rectangular particles on a square lattice with periodic boundary conditions. Two kind of particles were investigated, viz., so-called `blind' and `myopic' particles. We found that steady state patterns occurred…

Statistical Mechanics · Physics 2019-03-27 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Valentina V. Chirkova , Valeria A. Goltseva

Colloidal particles self assemble into a wide range of structures under external AC electric fields due to induced dipolar interactions [Yethiraj and Van Blaaderen Nature 421 513 (2003)]. As a result of these dipolar interactions, at low…

Soft Condensed Matter · Physics 2025-01-29 Xiaoyue Wu , Fiona C. Meldrum , Katherine Skipper , Yushi Yang , C. Patrick Royall

We calculate the configurational entropy of colloidal particles in a confined geometry interacting as hard disks using Monte Carlo integration method. In particular, we consider systems with three kinds of boundary conditions: hard,…

Soft Condensed Matter · Physics 2023-01-23 Duanduan Wan

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

Multiblock copolymer chains in implicit nonselective solvents are studied by Monte Carlo method which employs a parallel tempering algorithm. Chains consisting of 120 $A$ and 120 $B$ monomers, arranged in three distinct microarchitectures:…

Soft Condensed Matter · Physics 2014-10-20 Krzysztof Lewandowski , Michal Banaszak

Anomalous short- and long-time self-diffusion of non-overlapping fractal particles on a percolation cluster with spreading dimension $1.67(2)$ is studied by dynamic Monte Carlo simulations. As reported in Phys. Rev. Lett. 115, 097801…

Computational Physics · Physics 2020-10-08 Marco Heinen

We study the self-assembly behaviour of patchy particles with `protein-like' interactions that can be considered as a minimal model for the assembly of viral capsids and other shell-like protein complexes. We thoroughly explore the…

Soft Condensed Matter · Physics 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Anna C. F. Lewis

Colloidal systems find important applications ranging from fabrication of photonic crystals to direct probing of phenomena typically encountered in atomic crystals and glasses. New applications - such as nanoantennas, plasmonic sensors, and…

Soft Condensed Matter · Physics 2016-12-30 Rahul P. Trivedi , Ivan I. Klevets , Bohdan Senyuk , Taewoo Lee , Ivan I. Smalyukh

Bending of worm-like polymers carries an energy penalty which results in the appearance of a persistence length l such that the polymer is straight on length scales smaller than l and bends only on length scales larger than this length.…

Soft Condensed Matter · Physics 2008-01-22 S. M. Rappaport , S. Medalion , Y. Rabin

We perform Monte Carlo simulation of the thermodynamic and structural properties of Hard-, Square-Well, and Square-Shoulder Disks in narrow channels. For the thermodynamics we study the internal energy per particle and the longitudinal and…

Statistical Mechanics · Physics 2024-04-15 Riccardo Fantoni

The wavelength of a periodic spatial structure of Turing type is an intrinsic property of the considered reaction-diffusion dynamics and we address the question of its control at the microscopic scale for given dynamical parameters. The…

Pattern Formation and Solitons · Physics 2018-09-26 Gabriel Morgado , Bogdan Nowakowski , Annie Lemarchand