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Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

Statistical Mechanics · Physics 2007-05-23 A. Brandt , V. Ilyin

We present a multilevel Monte Carlo simulation method for analysing multi-scale physical systems via a hierarchy of coarse-grained representations, to obtain numerically-exact results, at the most detailed level. We apply the method to a…

Statistical Mechanics · Physics 2022-10-04 Paul B. Rohrbach , Hideki Kobayashi , Robert Scheichl , Nigel B. Wilding , Robert L. Jack

Monte Carlo computer simulations are used to study transient cavities and the solvation of hard-spheroid solutes in dipolar hard sphere solvents. The probability distribution of spheroidal cavities in the solvent is shown to be well…

Statistical Mechanics · Physics 2007-05-23 Philip J. Camp

The phase behavior of a single type of colloid C suspended in near-critical solvents is known to be very rich. Motivated in part by recent experiments we consider a mixture of two colloidal types C1 and C2 in a binary solvent close to its…

Soft Condensed Matter · Physics 2026-03-23 Nima Farahmand Bafi , Robert Evans , Anna Maciolek

We investigate the phase behavior of symmetric AB diblock copolymers confined into a thin film. The film boundaries are parallel, impenetrable and attract the A component of the diblock copolymer. Using a self-consistent field technique…

Statistical Mechanics · Physics 2009-10-31 Thorsten Geisinger , Marcus Mueller , Kurt Binder

We use dissipative particle dynamics (DPD) simulations to study the effect of shear on domain morphology and kinetics of microphase separating critical diblock copolymer (BCP) bulk melts. The melt is confined within two parallel solid walls…

Soft Condensed Matter · Physics 2022-09-21 Ashish Kumar Singh , Awaneesh Singh

It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality class, in which the cluster size is finite even at the critical…

Standard Markov chain Monte Carlo (MCMC) admits three fundamental control parameters: the number of chains, the length of the warmup phase, and the length of the sampling phase. These control parameters play a large role in determining the…

Computation · Statistics 2024-02-13 Charles C. Margossian , Andrew Gelman

The phase behavior is investigated for systems composed of a large number of macromolecular components N, with N greater or equal to 2. Liquid-liquid phase separation is modelled using a virial expansion up to the second order of the…

Soft Condensed Matter · Physics 2024-05-29 Arjen Bot , Erik van der Linden , Paul Venema

Lateral microsegregation in a monolayer of a binary mixture of particles or macromolecules is studied by MD simulations in a generic model with the interacting potentials inspired by effective interactions in biological or soft-matter…

Soft Condensed Matter · Physics 2025-05-26 M. Litniewski , W. T. Gozdz nd A. Ciach

We study the effects of chirality at the segment scale on the thermodynamics of block copolymer melts using self consistent field theory. In linear diblock melts where segments of one block prefer a twisted, or cholesteric, texture, we show…

Soft Condensed Matter · Physics 2015-06-11 Wei Zhao , Thomas P. Russell , Gregory M. Grason

In conflict with standard notions of thermodynamics, mesoscopically-sized inclusions (``clusters'') of a solute-rich liquid have been observed in equilibrated solutions of proteins and other molecules. According to a complexation scenario…

Soft Condensed Matter · Physics 2025-09-11 Ilya Davydov , Vassiliy Lubchenko

We study structural phase transition of polymer-grafted colloidal particles by Monte Carlo simulations on hard spherical particles. The interaction potential, which has a weak repulsive step outside the hard core, was validated with use of…

Soft Condensed Matter · Physics 2007-05-23 Yuki Norizoe , Toshihiro Kawakatsu

A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

Soft Condensed Matter · Physics 2021-09-07 E. Bildanau , V. Vikhrenko

In many real-world engineering systems, the performance or reliability of the system is characterised by a scalar parameter. The distribution of this performance parameter is important in many uncertainty quantification problems, ranging…

Methodology · Statistics 2022-10-03 Robert Millar , Jinglai Li , Hui Li

One of the challenges of self-assembling finite-sized colloidal aggregates with a sought morphology is the necessity of precisely sorting the position of the colloids at the microscopic scale to avoid the formation of off-target structures.…

Soft Condensed Matter · Physics 2020-01-31 Pritam Kumar Jana , Bortolo Matteo Mognetti

Microcapsules allow for the controlled containment, transport, and release of cargoes ranging from pharmaceuticals to fragrances. Given the interest from a variety of industries in microcapsules and other core-shell structures, a multitude…

Soft Condensed Matter · Physics 2021-08-04 Steven Dang , John Brady , Ryle Rel , Sreenidhi Surineni , Conor O'Shaughnessy , Ryan McGorty

Multilevel sampling methods, such as multilevel and multifidelity Monte Carlo, multilevel stochastic collocation, or delayed acceptance Markov chain Monte Carlo, have become standard uncertainty quantification (UQ) tools for a wide class of…

Numerical Analysis · Mathematics 2025-10-01 Josef Martínek , Erin Carson , Robert Scheichl

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

In critical lattice models, distance ($r$) dependent correlation functions contain power laws $r^{-2\Delta}$ governed by scaling dimensions $\Delta$ of an underlying continuum field theory. In Monte Carlo simulations, the leading dimensions…

Statistical Mechanics · Physics 2025-04-15 Anders W. Sandvik
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