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The advances in materials and biological sciences have necessitated the use of molecular simulations to study polymers. The Markov chain Monte Carlo simulations enable the sampling of relevant microstates of polymeric systems by traversing…

Soft Condensed Matter · Physics 2023-07-24 Monika Angwani , Tushar Mahendrakar , Kaustubh Rane

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

Multivalent particles have the ability to form multiple bonds to a substrate. Hence, a multivalent interaction can be strong, even if the individual bonds are weak. However, much more interestingly, multivalency greatly increases the…

Soft Condensed Matter · Physics 2017-04-04 Tine Curk , Jure Dobnikar , Daan Frenkel

Many problems in materials science and biology involve particles interacting with strong, short-ranged bonds, that can break and form on experimental timescales. Treating such bonds as constraints can significantly speed up sampling their…

Numerical Analysis · Mathematics 2020-12-02 Miranda Holmes-Cerfon

Cell dynamics simulation is used to investigate the phase behavior of block copolymer/homopolymer mixture subjected to a steady shear flow. Phase transitions occur from transverse to parallel and then to perpendicular lamellar structure…

Soft Condensed Matter · Physics 2015-06-29 Y. Guo , J. Zhang , B. Wang , H. Wu , M. Sun , J. Pan

Microgels are soft colloidal particles that, when dispersed in a solvent, swell and deswell in response to changes in environmental conditions, such as temperature, concentration, and $p$H. Using Monte Carlo simulation, we model bulk…

Soft Condensed Matter · Physics 2016-11-10 Matthew Urich , Alan R. Denton

Monte Carlo simulation on the crystallization of double crystalline diblock copolymer unravels an intrinsic relationship between block asymmetry and crystallization behaviour. We model crystalline A-B diblock copolymer, wherein the melting…

Soft Condensed Matter · Physics 2015-06-19 Chitrita Kundu , Ashok Kumar Dasmahapatra

We develop a lattice-based Monte Carlo simulation method for charged mixtures capable of treating dielectric heterogeneities. Using this method, we study oil-water mixtures containing an antagonistic salt, with hydrophilic cations and…

Soft Condensed Matter · Physics 2017-11-29 Nikos Tasios , Sela Samin , René van Roij , Marjolein Dijkstra

We report grand canonical Monte Carlo simulations of the critical point properties of homopolymers within the Bond Fluctuation model. By employing Configurational Bias Monte Carlo methods, chain lengths of up to N=60 monomers could be…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , M. Mueller , K. Binder

Using a minimal model of active Brownian discs, we study the effect of a crucial parameter, namely the softness of the inter-particle repulsion, on motility-induced phase separation. We show that an increase in particle softness reduces the…

Soft Condensed Matter · Physics 2021-05-19 Monika Sanoria , Raghunath Chelakkot , Amitabha Nandi

Ionic-liquid based acidic aqueous biphasic solutions (AcABS) recently offered a breakthrough in the field of metal recycling. Indeed, the mixture of tributyltetradecylphosphonium chloride (P$_{44414}$Cl) and acid with water content larger…

In a cluster crystal, each lattice site is occupied by multiple soft-core particles. As the number density is increased at zero temperature, a `cascade' of isostructural phase transitions can occur between states whose site occupancy…

Soft Condensed Matter · Physics 2015-06-22 Nigel B. Wilding , Peter Sollich

Using grand canonical Monte Carlo simulations, we investigate the percolation behavior of a square well fluid with an ultra-short range of attraction in three dimension (3D) and in confined geometry. The latter is defined through two…

Soft Condensed Matter · Physics 2012-11-07 Helge Neitsch , Sabine H. L. Klapp

We have recently developed a simulation approach to calculate the equilibrium phase diagram of particle-based microphase formers. Here, this approach is used to calculate the phase behavior of the square-well linear model for different…

Soft Condensed Matter · Physics 2016-08-02 Yuan Zhuang , Patrick Charbonneau

The scaling properties of the cluster size distribution of a system of diffusing clusters is studied in terms of a simple kinetic mean field model. It is shown that a one parameter family of mathematically valid scaling solutions exists.…

Statistical Mechanics · Physics 2009-10-31 Daniel Kandel

Separability of multivariate functions alleviates the difficulty in finding a minimum or maximum value of a function such that an optimal solution can be searched by solving several disjoint problems with lower dimensionalities. In most of…

Numerical Analysis · Mathematics 2019-12-09 Takashi Goda

In molecular simulations, efficient methods for investigating equilibration and slow relaxation in dense systems are crucial yet challenging. This study focuses on the diffusional characteristics of monodisperse hard disk systems at…

Soft Condensed Matter · Physics 2024-10-21 Daigo Mugita , Masaharu Isobe

We propose a Multi-Cell Monte Carlo algorithm, or (MC)^2, for predicting stable phases in chemically complex crystalline systems. Free atomic transfer among cells is achieved via the application of the lever rule, where an assigned molar…

Materials Science · Physics 2018-11-13 Changning Niu , You Rao , Wolfgang Windl , Maryam Ghazisaeidi

We report results of extensive Dynamical Monte Carlo investigations on self-assembled Equilibrium Polymers (EP) without loops in good solvent. (This is thought to provide a good model of giant surfactant micelles.) Using a novel algorithm…

Soft Condensed Matter · Physics 2009-10-31 J. P. Wittmer , A. Milchev , M. E. Cates

Multi-stage screening pipelines are ubiquitous throughout experimental and computational science. Much of the effort in developing screening pipelines focuses on improving generative methods or surrogate models in an attempt to make each…

Optimization and Control · Mathematics 2022-04-15 Kristofer G. Reyes , Jiaqian Liu , Carlos Juan Díaz Vargas