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Effects of three-point direct correlation on properties of the phase field crystal (PFC) modeling are examined, for the control of various ordered and disordered phases and their coexistence in both three-dimensional and two-dimensional…

Materials Science · Physics 2022-04-15 Zi-Le Wang , Zhirong Liu , Wenhui Duan , Zhi-Feng Huang

We investigate the driven states of a two-dimensional crystal whose ground state can be tuned through a square-triangular transition. The depinning of such a system from a quenched random background potential occurs via a complex sequence…

Statistical Mechanics · Physics 2009-11-11 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

In this article, we discuss the stability of soft quasicrystalline phases in a coupled-mode Swift-Hohenberg model for three-component systems, where the characteristic length scales are governed by the positive-definite gradient terms.…

Soft Condensed Matter · Physics 2016-04-20 Kai Jiang , Jiajun Tong , Pingwen Zhang

In a recent class of phase field crystal (PFC) models, the density order parameter is coupled to powers of its mean field. This effectively introduces a phenomenology of higher-order direct correlation functions acting on long wavelengths,…

Materials Science · Physics 2024-08-21 Daniel L. Coelho , Duncan Burns , Emily Wilson , Nikolas Provatas

We report the observation of the homogenous nucleation of crystals in a dense layer of steel spheres confined between two horizontal plates vibrated vertically. Above a critical vibration amplitude, two-layer crystals with square symmetry…

Soft Condensed Matter · Physics 2009-11-10 Alexis Prevost , Paul Melby , David A. Egolf , Jeffrey S. Urbach

The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential equation, has generated considerable interest as a possible solution to problems arising in molecular dynamics. This is because the phase-field…

Mathematical Physics · Physics 2015-07-29 Philippe Vignal , Lisandro Dalcin , Donald L. Brown , Nathan Collier , Victor M. Calo

The phase-field-crystal model is used to access the structure and thermodynamics of interfaces between two coexisting liquid crystalline phases in two spatial dimensions. Depending on the model parameters there is a variety of possible…

Soft Condensed Matter · Physics 2014-01-28 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

Determining fluid-crystal phase boundaries via direct-coexistence methods can be challenging due to the fact that the simulation box can introduce crystal strain. Recently, a direct-coexistence approach was developed which allows one to…

Soft Condensed Matter · Physics 2026-04-21 Rinske M. Alkemade , Alessandro Salo , Laura Filion , Frank Smallenburg

The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate…

Soft Condensed Matter · Physics 2015-11-04 Kai Jiang , Jiajun Tong , Pingwen Zhang , An-Chang Shi

Pure liquids in thermodynamic equilibrium are structurally homogeneous. In liquid crystals, flow and light pulses are used to create reconfigurable domains with polar order. Moreover, through careful engineering of concerted microfluidic…

Soft Condensed Matter · Physics 2020-01-03 Tadej Emeršič , Rui Zhang , Žiga Kos , Simon Čopar , Natan Osterman , Juan J. de Pablo , Uroš Tkalec

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

Advanced phase-field techniques have been applied to address various aspects of polycrystalline solidification including different modes of crystal nucleation. The height of the nucleation barrier has been determined by solving the…

We develop and analyze a two-mode phase-field-crystal model to describe fcc ordering. The model is formulated by coupling two different sets of crystal density waves corresponding to <111> and <200> reciprocal lattice vectors, which are…

Materials Science · Physics 2010-07-01 Kuo-An Wu , Ari Adland , Alain Karma

Atomically thin 2-dimensional heterostructures are a promising, novel class of materials with groundbreaking properties. The possiblity of choosing the many constituent components and their proportions allows optimizing these materials to…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Petri Hirvonen , Vili Heinonen , Haikuan Dong , Zheyong Fan , Ken R. Elder , Tapio Ala-Nissila

A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing.…

Soft Condensed Matter · Physics 2013-10-30 A. J. Archer , A. M. Rucklidge , E. Knobloch

The optical properties of liquid crystals serve as the basis for display, diagnostic, and sensing technologies. Such properties are generally controlled by relying on electric fields. In this work, we investigate the effects of microfluidic…

We introduce a phenomenological theory for a new class of soft active fluids, with the ability to synchronise. Our theoretical framework describes the macroscopic behaviour of a collection of interacting anisotropic elements with cyclic…

Soft Condensed Matter · Physics 2015-06-16 M. Leoni , T. B. Liverpool

We apply the phase field crystal model to study the structure and energy of symmetric tilt grain boundaries of bcc iron in 3D. The parameters for the model are obtained by using a recently developed eight-order fitting scheme [A. Jaatinen…

Materials Science · Physics 2010-06-29 A. Jaatinen , C. V. Achim , K. R. Elder , T. Ala-Nissila

We study how dispersions of colloidal particles in a cholesteric liquid crystal behave under a time-dependent electric field. By controlling the amplitude and shape of the applied field wave, we show that the system can be reproducibly…

Soft Condensed Matter · Physics 2015-05-05 Giuseppe D'Adamo , D. Marenduzzo , C. Micheletti , E. Orlandini

We test the performance of a recently proposed fundamental measure density functional of aligned hard cylinders by calculating the phase diagram of a monodisperse fluid of these particles. We consider all possible liquid crystalline…

Soft Condensed Matter · Physics 2009-11-13 Jose A. Capitan , Yuri Martinez-Raton , Jose A. Cuesta