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Related papers: Effective interactions and melting of a one dimens…

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We demonstrate that particles confined to two dimensions (2d) and subjected to a one-dimensional (1d) periodic potential exhibit a rich phase diagram, with both ``locked floating solids'' and smectic phases. The resulting phases and phase…

Soft Condensed Matter · Physics 2009-10-31 Erwin Frey , David R. Nelson , Leo Radzihovsky

We present here exact results for a one-dimensional gas, or fluid, of hard-sphere particles with attractive boundaries. The particles, which can exchange with a bulk reservoir, mediate an interaction between the boundaries. A…

Statistical Mechanics · Physics 2015-05-14 Bartosz Rozycki , Reinhard Lipowsky , Thomas R. Weikl

We study the effects of confinement between two parallel walls on a two dimensional fluid with competing interactions which lead to the formation of particle micro-domains at the thermodynamic equilibrium (microphases or microseparation).…

Soft Condensed Matter · Physics 2009-11-13 A. Imperio , L. Reatto

We present results of Monte-Carlo simulations for finite 2D single and bilayer systems. Strong Coulomb correlations lead to arrangement of particles in configurations resembling a crystal lattice. For binary layers, there exists a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

We report the observation of the transition from an ordered solid-like phase to a disordered liquid-like phase of a lattice of spikes on a ferrofluid surface submitted to horizontal sinusoidal vibrations. The melting transition occurs for a…

Soft Condensed Matter · Physics 2010-01-05 François Boyer , Eric Falcon

The freezing of colloidal suspensions is encountered in many natural and engineering processes. It can be harnessed through a process known as ice templating, to produce porous materials and composites exhibiting unique functional…

Applied Physics · Physics 2018-04-25 Audrey Lasalle , Christian Guizard , Eric Maire , Jérôme Adrien , Sylvain Deville

Our previous molecular dynamic simulation studies of simple two-dimensional (2D) systems \cite{matt_big} suggested that both geometrical defects (localized, large-amplitude deviations from hexagonal ordering) and topological defects…

Statistical Mechanics · Physics 2007-05-23 Yves Lansac , Matthew A. Glaser , Noel A. Clark

We employ extensive NPT molecular dynamics simulations to explore the thermal transitions of two-dimensional colloidal crystals interacting via a core-softened potential with competing length scales. The system stabilizes three distinct…

Soft Condensed Matter · Physics 2025-08-20 Alexandre Vargas , Thiago Puccinelli , José Rafael Bordin

We study ground-state orderings of particles in classical lattice-gas models of adsorption on crystal surfaces. In the considered models, the energy of adsorbed particles is a sum of two components, each one representing the energy of a…

Statistical Mechanics · Physics 2009-10-31 Janusz Jedrzejewski , Jacek Miekisz

The effective interaction between charged colloidal particles confined between two planar like-charged walls is investigated using computer simulations of the primitive model describing asymmetric electrolytes. In detail, we calculate the…

Soft Condensed Matter · Physics 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

A simple criterion for melting of two-dimensional crystals with soft long-ranged interactions is proposed. It states that the ratio of the transverse sound velocity of an ideal crystalline lattice to the thermal velocity is a…

Soft Condensed Matter · Physics 2018-04-13 Sergey Khrapak

We predict the structural interaction of crystalline solid-melt interfaces using amplitude equations which are derived from classical density functional theory or phase-field-crystal modeling. The solid ordering decays exponentially on the…

Materials Science · Physics 2015-06-12 Robert Spatschek , Ari Adland , Alain Karma

Topological defects are the key feature mediating 2D phase transitions. However, both resolution and tunability have been lacking to access the dynamics of the transitions. With dynamic Kerr microscopy, we directly capture the melting of a…

We calculate Root Mean Square (RMS) deviations from equilibrium for atoms in a two dimensional crystal with local (e.g. covalent) bonding between close neighbors. Large scale Monte Carlo calculations are in good agreement with analytical…

Materials Science · Physics 2012-08-27 D. J. Priour, , James Losey

The ability to control the movement and assembly of particles in liquid crystals is not only an important route to design functional materials, but also sheds light on the mechanisms of colloidal interactions. In this study we place…

Soft Condensed Matter · Physics 2018-08-07 Yimin Luo , Francesca Serra , Kathleen J. Stebe

The best-understood crystal ordering transition is that of two-dimensional freezing, which proceeds by the rapid eradication of lattice defects as the temperature is lowered below a critical threshold. But crystals that assemble on closed…

Soft Condensed Matter · Physics 2018-02-22 Rodrigo E. Guerra , Colm P. Kelleher , Andrew D. Hollingsworth , Paul M. Chaikin

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

We calculate mean square deviations for crystals in one and two dimensions. For the two dimensional lattices, we consider several distinct geometries (i.e. square, triangular, and honeycomb), and we find the same essential phenomena for…

Materials Science · Physics 2010-04-27 D. J. Priour

A two-dimensional or quasi-two-dimensional nematic liquid crystal refers to a surface confined system. When such a system is further confined by external line boundaries or excluded from internal line boundaries, the nematic directors form…

Soft Condensed Matter · Physics 2022-04-27 Xiaomei Yao , Lei Zhang , Jeff Z. Y. Chen

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

Soft Condensed Matter · Physics 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza