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We consider a system of spherical particles interacting by means of a pair potential equal to a finite constant for interparticle distances smaller than the sphere diameter and zero outside. The model may be a prototype for the interaction…

Statistical Mechanics · Physics 2009-10-31 C. N. Likos , M. Watzlawek , H. Loewen

We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approximately like an ideal mixture of clusters (droplets): we prove…

Mathematical Physics · Physics 2012-06-25 S. Jansen , W. König

With the increasing penetration of distributed energy resources (DERs) in distribution grids, their impact on grid operations can no longer be ignored. However, the individual control of these increasingly ubiquitous devices remains a…

Optimization and Control · Mathematics 2022-07-26 Jun-Xing Chin , Gabriela Hug

We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich

At low temperatures ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study we develop a general zero-temperature analysis fully characterizing the ground state of such models in two…

Soft Condensed Matter · Physics 2025-02-25 Matheus de Mello , Rogelio Díaz-Méndez , Alejandro Mendoza-Coto

The structural and dynamical properties of ultra-soft colloids - star polymers - exposed to a uniform external force field are analyzed applying the multiparticle collision dynamics approach, a hybrid coarse-grain mesoscale simulation…

Soft Condensed Matter · Physics 2018-03-09 Sunil P. Singh , Gerhard Gompper , Roland G. Winkler

Coarse-grained molecular dynamics often sacrifices accuracy and transferability for computational efficiency, but the use of machine learned potentials is helping coarse-grained models attain performance on par with atomistic molecular…

Chemical Physics · Physics 2026-02-17 Abigail Park , Shriram Chennakesavalu , Grant M. Rotskoff

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

The use of molecular dynamics (MD) simulations has led to promising results to unravel the atomistic origins of adhesive wear, and in particular for the onset of wear at nanoscale surface asperities. However, MD simulations come with a high…

Soft Condensed Matter · Physics 2022-06-29 Son Pham-Ba , Jean-François Molinari

Soft materials, such as colloidal suspensions, polymer solutions, and biological systems, are typically multicomponent mixtures of macromolecules and simpler components (e.g., microions, monomers, solvent) that can assemble into complex…

Soft Condensed Matter · Physics 2015-05-13 Alan R. Denton

Starting from a microscopic lattice model, we investigate clustering, micellization and micelle ordering in semi-dilute solutions of AB diblock copolymers in a selective solvent. To bridge the gap in length scales, from monomers to ordered…

Soft Condensed Matter · Physics 2009-11-11 Carlo Pierleoni , Chris Addison , Jean-Pierre Hansen , Vincent Krakoviack

We review some recent coarse-graining and multi-scale methods, but also put forward some new ideas for addressing such issues. We find that, if one is guided by nonequilibrium statistical mechanics and thermodynamics, it is possible to…

Soft Condensed Matter · Physics 2009-11-06 Patrick Ilg , Vlasis Mavrantzas , Hans Christian Öttinger

Density-potential functional theory (DPFT) is an alternative formulation of orbital-free density functional theory that may be suitable for modeling the electronic structure of large systems. To date, DPFT has been applied mainly to quantum…

Materials Science · Physics 2023-04-21 Martin-Isbjörn Trappe , William C. Witt , Sergei Manzhos

The design of complex materials and the formation of specific patterns often arise from the properties of the individual building blocks. In this respect, colloidal systems offer a unique opportunity because nowadays they can be synthesized…

Soft Condensed Matter · Physics 2022-03-01 Fabrizio Camerin , Emanuela Zaccarelli

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

Soft Condensed Matter · Physics 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

We study numerically the effective pair potential between star polymers with equal arm lengths and equal number $f$ of arms. The simulations were done for the soft core Domb-Joyce model on the simple cubic lattice, to minimize corrections…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

Soft particles display highly versatile properties with respect to hard colloids, even more so at fluid-fluid interfaces. In particular, microgels, consisting of a cross-linked polymer network, are able to deform and flatten upon adsorption…

Steady-state pair correlations between inelastic granular beads in a vertically shaken, quasi two-dimensional cell can be mapped onto the particle correlations in a truly two-dimensional reference fluid in thermodynamic equilibrium. Using…

Soft Condensed Matter · Physics 2019-06-12 Gustavo M. Rodríguez-Liñán , Marco Heinen

Reducing the complexity of cross-linked polymer networks by preserving their main macroscale properties, is key to understanding them, and a crucial issue is to relate individual properties of the polymer constituents to those of the…

Soft Condensed Matter · Physics 2018-03-21 Salim R. Maduar , Taras Y. Molotilin , Olga I. Vinogradova
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