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We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on…

Analysis of PDEs · Mathematics 2024-11-28 Riccardo Cristoferi , Gabriele Fissore

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon

The pattern development of multiple cracks in extremely anisotropic solids such as bilayer or multilayer two-dimensional (2D) crystals contains rich physics, which, however, remains largely unexplored. We studied crack interaction across…

Materials Science · Physics 2024-02-13 Shizhe Feng , Xiaodong Zheng , Pengjie Shi , Thuc Hue Ly , Jiong Zhao , Zhiping Xu

A Monte Carlo simulation study of the vacancy-assisted domain-growth in asymmetric binary alloys is presented. The system is modeled using a three-state ABV Hamiltonian which includes an asymmetry term, not considered in previous works. Our…

Condensed Matter · Physics 2009-10-31 Marcel Porta , Eduard Vives , Teresa Castan

The combination of large thickness ($>3$ $\mu$m), large--area uniformity (75 mm diameter), high growth rate (up to 0.4 $\mu$m/min) in assemblies of complex--shaped nanowires on lithographically defined patterns has been achieved for the…

The chemical ordering transition in a binary alloy is examined using classical density functional theory for a binary mixture. The ordered lattice is assumed to be obtained from the disordered lattice by a volume change only, as in L1_2…

Statistical Mechanics · Physics 2009-10-31 David L. Olmsted

We investigate two-dimensional crystal assemblies formed by a binary mixture of colloidal particles with a size ratio of 0.88 and driven by short-ranged depletion interactions. Our experiments show that the orientational order of the…

Soft Condensed Matter · Physics 2025-08-18 S. k. Tahmid Shahriar , Chris Feltman , Sean Machler , Nabila Tanjeem

Crystallization from an amorphous atomic structure is usually seen as a spontaneous process in pursuit of a lower energy state, but for alloy systems it is often hard to elucidate because of the intrinsic structural and compositional…

Materials Science · Physics 2020-04-10 Y. Huang , L. Xie , D. S. He , J. Q. He

The crystallization proceeds by the advance of the crystal faces into the disordered phase at the expense of the supersaturation which is not sustained in our model. Using a conservation constraint for the transformation ratio and a kinetic…

Materials Science · Physics 2024-03-08 V. V. Ivanov , C. Tielemann , K. Avramova , S. Reinsch , V. Tonchev

Experiments and simulations are used to study the kinetics of crystal growth in a mixture of magnetic and nonmagnetic particles suspended in ferrofluid. The growth process is quantified using both a bond order parameter and a mean domain…

Soft Condensed Matter · Physics 2017-01-11 An T. Pham , Ryohei Seto , Johannes Schonke , Daniel Y. Joh , Ashutosh Chilkoti , Eliot Fried , Benjamin B. Yellen

We investigate the structure and equilibrium linear-response dynamics of suspensions of hard colloidal dumbbells using Brownian Dynamics computer simulations. The focus lies on the dense fluid and plastic crystal states of the colloids with…

Soft Condensed Matter · Physics 2015-07-10 Nils Heptner , Joachim Dzubiella

The interfacial profile between coexisting phases of a binary mixture (A,B) in a thin film of thickness D and lateral linear dimensions L depends sensitively on both linear dimensions and on the nature of boundary conditions and statistical…

Statistical Mechanics · Physics 2009-10-30 Andreas Werner , Friederike Schmid , Marcus Mueller , Kurt Binder

The ordinary surface magnetic phase transition is studied for the exactly solvable anisotropic spherical model (ASM), which is the limit D \to \infty of the D-component uniaxially anisotropic classical vector model. The bulk limit of the…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin

The morphologies of two-dimensional (2D) crystals, nucleated, grown, and integrated within 2D elastic fluids, for instance in giant vesicle membranes, are dictated by an interplay of mechanics, permeability, and thermal contraction.…

Soft Condensed Matter · Physics 2023-07-07 Hao Wan , Geunwoong Jeon , Weiyue Xin , Gregory M. Grason , Maria M. Santore

Liquid crystals in two dimensions undergo a first-order isotropic-to-quasi-nematic transition, provided the particle interactions are sufficiently ``sharp and narrow''. This implies phase coexistence between isotropic and quasi-nematic…

Statistical Mechanics · Physics 2009-11-13 R. L. C. Vink

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

The behavior of many magnetic and dielectric solids, and the more contemporary magnetic super-lattices, is governed by dipolar interactions. They are anisotropic and long-ranged, having varied consequences ranging from ground states with…

Statistical Mechanics · Physics 2021-08-25 Shikha Kumari , Sanjay Puri , Varsha Banerjee

We study dipole-mode and scissors-mode oscillations of a harmonically-trapped dipolar supersolid, composed of dipolar droplets arranged on a one-dimensional (1D) or a two-dimensional (2D) lattice, to establish the robustness of its…

Quantum Gases · Physics 2023-05-31 Luis E. Young-S. , S. K. Adhikari

In this paper we present a generalization of a simple solid-on-solid epitaxial model of thin films growth, when surface morphology anisotropy is provoked by anisotropy in model control parameters: binding energy and/or diffusion barrier.…

Condensed Matter · Physics 2007-05-23 K. Malarz , A. Z. Maksymowicz

Interface energy and kinetic coefficient of crystal growth strongly depend on the face of the crystalline lattice. To investigate the kinetic anisotropy and velocity of different crystallographic faces we use the hyperbolic (modified) phase…

Materials Science · Physics 2020-04-03 Vladimir Ankudinov , Peter K. Galenko