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A simple d-dimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d=2 the model is shown to be…

Condensed Matter · Physics 2009-10-30 Fabio Siringo

Many physical systems involve two types of orientational order, which are coupled together. For example, ferroelectric nematic liquid crystals have coupled polar and nematic order, and tilted hexatic phases have coupled polar and hexatic…

Soft Condensed Matter · Physics 2026-03-16 Lincoln Paik , Jonathan V. Selinger

It is shown that differences observed between the ionization potentials of the molecular-doped metallic clusters and those corresponding to the bare metallic ones can be explained by a two-step approach of the classical Liquid Drop Model.…

Chemical Physics · Physics 2009-11-07 Florin Despa

Melting and freezing transitions in two dimensional systems are known to show highly unusual characteristics. Most of the earlier studies considered atomic systems; the melting behavior in two dimensional molecular solids is still largely…

Materials Science · Physics 2013-02-04 Rakesh S. Singh , Mantu Santra , Biman Bagchi

It is known that homogeneous distribution of particles in Coulomb-like systems can be unstable, and spatially inhomogeneous structures can be formed. A simple method for describing such inhomogeneous systems and obtaining spacial…

Statistical Mechanics · Physics 2015-06-16 B. I. Lev , V. P. Ostroukh , V. B. Tymchyshyn , A. G. Zagorodny

We explore phase behaviour of a binary colloidal system under external spatially periodic modulation. We perform Monte Carlo simulation on a binary mixture of big and small repulsive Lennard-Jones particles with diameter ratio 1:2. We…

Soft Condensed Matter · Physics 2023-07-31 Suravi Pal , Jaydeb Chakrabarti , Srabani Chakrabarty nee Sarkar

We report benchmark results for one-dimensional (1D) atomic and molecular systems interacting via the Coulomb operator $|x|^{-1}$. Using various wavefunction-type approaches, such as Hartree-Fock theory, second- and third-order…

Chemical Physics · Physics 2015-06-19 Pierre-François Loos , Caleb J. Ball , Peter M. W. Gill

In this article, we demonstrate a method for inducing reversible crystal-to-crystal transitions in binary mixtures of soft colloidal particles. Through a controlled decrease of salinity and increasingly dominating electrostatic…

Soft Condensed Matter · Physics 2021-08-30 Jasper N. Immink , Maxime J. Bergman , J. J. Erik Maris , Joakim Stenhammar , Peter Schurtenberger

The formation, growth, structure and cluster size distribution (CSD) properties in a two-dimensional system of particles interacting with Lennard-Jones (LJ) potential under controlled cooling condition have been studied using Monte-Carlo…

Soft Condensed Matter · Physics 2018-01-18 Barnana Pal

We consider temperature-induced melting of a Wigner solid in one dimensional (1D) and two dimensional (2D) lattices of electrons interacting via the long-range Coulomb interaction in the presence of strong disorder arising from charged…

Disordered Systems and Neural Networks · Physics 2022-09-13 DinhDuy Vu , Sankar Das Sarma

The quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coulomb $U/r$ potential. The studies of models without disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jean-Louis Pichard , Georgios Katomeris , Franck Selva

The symmetry of a crystal structure with a three-dimensional (3D) lattice can be classified by one of the 230 space group types. For some types of crystals, e.g. crystalline films, surfaces, or planar interfaces, it is more appropriate to…

We report on the results of molecular dynamics simulation (MD) studies of the classical two-dimensional electron crystal in the presence disorder. Our study is motivated by recent experiments on this system in modulation doped semiconductor…

Condensed Matter · Physics 2009-10-22 Min-Chul Cha , H. A. Fertig

We study a simple growth model for (d+1)-dimensional films of binary alloys in which atoms are allowed to interact and equilibrate at the surface, but are frozen in the bulk. The resulting crystal is highly anisotropic: Correlations…

Statistical Mechanics · Physics 2009-10-28 Barbara Drossel , Mehran Kardar

Deterministic control of the layering configuration of two-dimensional quantum materials plays a central role in studying their emergent electronic properties. Here we demonstrate in-situ control over competing stacking configurations in…

Recent experimental discoveries of novel nematic types with polar order, including ferroelectric nematic and splay nematic have brought the resurgence of the interest in polar and modulated phases. One of the most important factors that is…

Soft Condensed Matter · Physics 2023-05-18 Piotr Kubala , Michał Cieśla

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

We study the role of particle geometry in the ordering of bilayers of bent-core particles using a simplified two-dimensional model. Particles are confined to two parallel one-dimensional layers and can adopt only two discrete orientations…

Soft Condensed Matter · Physics 2025-09-29 David A. King

We simulated random walk of rectangular particles on a square lattice with periodic boundary conditions. Two kind of particles were investigated, viz., so-called `blind' and `myopic' particles. We found that steady state patterns occurred…

Statistical Mechanics · Physics 2019-03-27 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Valentina V. Chirkova , Valeria A. Goltseva

Close-packed, classical dimer models on three-dimensional, bipartite lattices harbor a Coulomb phase with power-law correlations at infinite temperature. Here, we discuss the nature of the thermal phase transition out of this Coulomb phase…

Statistical Mechanics · Physics 2009-07-17 Gang Chen , Jan Gukelberger , Simon Trebst , Fabien Alet , Leon Balents