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The influence of quadrupolar interactions on the structure of small clusters is investigated by adding a point quadrupole of variable strength to the Lennard-Jones potential. Competition arises between sheet-like arrangements of the…

Soft Condensed Matter · Physics 2009-11-13 Mark A. Miller , James J. Shepherd , David J. Wales

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

Entropy-driven equilibrium phase behaviour of hard particle dispersions can be understood from excluded volume arguments only. While monodisperse hard spheres only exhibit a fluid-solid phase transition, anisotropic hard particles such as…

Soft Condensed Matter · Physics 2017-12-07 Á. González García , H. H. Wensink , H. N. W. Lekkerkerker , R. Tuinier

Instead of the homogeneous ordered particle distributions characteristic to equilibrium systems a self-organizing polydomain structure is found to be stable at low temperatures in a square lattice-gas model with repulsive nearest neighbor…

Condensed Matter · Physics 2009-10-28 Gyorgy Szabo , Attila Szolnoki , Tibor Antal , Istvan Borsos

We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium…

Disordered Systems and Neural Networks · Physics 2009-08-31 Omar Osenda , Francisco A. Tamarit , Sergio A. Cannas

If particles interact according to isotropic pair potentials that favor multiple length scales, in principle a large variety of different complex structures can be achieved by self-assembly. We present, motivate, and discuss a conjecture…

Soft Condensed Matter · Physics 2018-11-07 Erdal C. Oğuz , Aleksandar Mijailović , Michael Schmiedeberg

We study the formation and growth of equilibrium clusters in a suspension of weakly-charged colloidal particles and small non-adsorbing polymers. The effective potential is characterised by a short-range attraction and a long-range…

Soft Condensed Matter · Physics 2009-11-11 Rodrigo Sanchez , Paul Bartlett

A broad class of blocked or jammed configurations of particles on the one-dimensional lattice can be characterized in terms of local rules involving only the lengths of clusters of particles (occupied sites) and of holes (empty sites).…

Statistical Mechanics · Physics 2024-05-22 Jean-Marc Luck

Simple models based on isotropic interparticle attractions often fail to capture experimentally observed structures of colloidal gels formed through spinodal decomposition and subsequent arrest: the resulting gels are typically denser and…

Soft Condensed Matter · Physics 2021-08-27 Jasper N. Immink , J. J. Erik Maris , Peter Schurtenberger , Joakim Stenhammar

Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and…

Physics and Society · Physics 2017-11-15 Milovan Suvakov , Miroslav Andjelkovic , Bosiljka Tadic

Achieving the formation of target open crystalline lattices from colloidal particles is of paramount importance for their potential application in photonics. Examples of such desired structures are the diamond, tetrastack, and pyrochlore…

Soft Condensed Matter · Physics 2024-05-17 Łukasz Baran , Dariusz Tarasewicz , Daniel M. Kamiński , Andrzej Patrykiejew , Wojciech Rżysko

We study a system of particles in two dimensions interacting via a dipolar long-range potential $D/r^3$ and subject to a square-lattice substrate potential $V({\bf r})$ with amplitude $V$ and lattice constant $b$. The isotropic interaction…

Statistical Mechanics · Physics 2016-08-24 Barbara Gränz , Sergey E. Koshunov , Vadim B. Geshkenbein , Gianni Blatter

We systematically study the design of simple patchy sphere models that reversibly self-assemble into monodisperse icosahedral clusters. We find that the optimal patch width is a compromise between structural specificity (the patches must be…

Soft Condensed Matter · Physics 2007-09-03 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Eva G. Noya , Mark A. Miller , Pauline Wong

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

Studying physical mechanisms and common geometric principles underlying known spherical packings is crucial for rational design of synthetic nanocontainers. Here we model the growth of small spherical shells containing n<72 identical…

Soft Condensed Matter · Physics 2026-03-16 Ivan Yu. Golushko , Olga V. Konevtsova , Daria S. Roshal , Sergei B. Rochal

Self-assembling novel ordered structures with nanoparticles has recently received much attention. Here we use computer simulations to study a two-dimensional model system characterized by a simple isotropic interaction that could be…

Soft Condensed Matter · Physics 2015-03-18 Michael Engel

In textural equilibrium, partially molten materials minimise the total surface energy bound up in grain boundaries and grain-melt interfaces. Here, numerical calculations of such textural equilibrium geometries are presented for a…

Soft Condensed Matter · Physics 2018-04-12 John F. Rudge

We investigate bulk structural properties of tetravalent associating particles within the framework of classical density functional theory, building upon Wertheim's thermodynamic perturbation theory. To this end, we calculate density…

Soft Condensed Matter · Physics 2021-12-08 Daniel Stopper , Frank Hirschmann , Martin Oettel , Roland Roth

The mechanics of the structured particles develops. The substantiation of applicability of such mechanics for the description of processes of evolution in open nonequilibrium systems is offered. The consequences following from the equations…

General Physics · Physics 2012-10-03 V. M. Somsikov

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