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Liquid crystal is a typical kind of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over the last four decades, which is of great importance on both…

Numerical Analysis · Mathematics 2021-04-07 Wei Wang , Lei Zhang , Pingwen Zhang

The observation recently of 12-fold quasicrystals in polymers, nanoparticle mixture and 12-fold and 18-fold quasicrystals in colloidal solutions are important events for the study of quasicrystals. To describe the mechanical behaviour we…

Soft Condensed Matter · Physics 2012-10-08 Tian You Fan

Review of selected fundamental topics on the interaction between phase transformations, fracture, and other structural changes in inelastic materials is presented. It mostly focuses on the concepts developed in the author's group over last…

Materials Science · Physics 2021-08-24 Valery I. Levitas

Liquid crystals are the prototype of the so-called soft condensed matter. In simple terms they are "structured liquids" that historically have received a lot of interest because they help to generate new concepts and knowledge in Physics,…

Soft Condensed Matter · Physics 2024-03-11 Humberto Híjar

A new kind of aperiodic tiling is introduced. It is shown to underlie a structure obtained as a superposition of waves with incommensurate periods. Its connections to other other tilings and quasicrystals are discussed.

Other Condensed Matter · Physics 2007-11-28 A. Losev

We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo…

Statistical Mechanics · Physics 2015-05-27 David Aristoff , Charles Radin

This primer is intended as an introduction to differential forms, a central object in modern mathematical physics, for scientists and engineers.

Mathematical Physics · Physics 2012-06-18 Christian Lessig

This article provides a detailed review on the generalized dynamics of soft-matter quasicrystals developed recent years. Comparing to solid quasicrystals consisted mainly with metallic alloys, soft-matter quasicrystals have been observed in…

Soft Condensed Matter · Physics 2019-10-16 Tian-You Fan , Wenge Yang , Xiao-Hong Sun

Quantum fluid (or hydrodynamic) models provide an attractive alternative for the modeling and simulation of the electron dynamics in nano-scale objects. Compared to more standard approaches, such as density functional theory or phase-space…

Quantum Physics · Physics 2021-10-12 Giovanni Manfredi , Paul-Antoine Hervieux , Jérôme Hurst

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

The avalanche to streamer transition is studied and illustrated in a particle model. The results are similar to those of fluid models. However, when super-particles are introduced, numerical artefacts become visible. This underscores the…

Plasma Physics · Physics 2009-11-13 Chao Li , Ute Ebert , W. J. M. Brok

The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For the…

Mathematical Physics · Physics 2007-05-23 Edita Pelantová , Zuzana Masáková

Various phase transitions could have taken place in the early Universe, and may occur in the course of heavy-ion collisions and supernova explosions, in proto-neutron stars, cold compact stars, and in the condensed matter at terrestrial…

Nuclear Theory · Physics 2020-01-30 D. N. Voskresensky

Quasicrystals and their periodic approximants are complex phases, which have by now been observed in many metallic alloys, soft matter systems, and particle simulations. In recent experiments of thin-film perovskites on solid substrates,…

Soft Condensed Matter · Physics 2024-08-07 Nydia Roxana Varela-Rosales , Michael Engel

Clarifying the factors that control the contact angle of a liquid on a solid substrate is a long-standing scientific problem pertinent across physics, chemistry and materials science. Progress has been hampered by the lack of a…

Statistical Mechanics · Physics 2019-11-11 Robert Evans , Maria C. Stewart , Nigel B. Wilding

Quasicrystals are characterized by quasi-periodic arrangements of atoms. The description of their mechanics involves deformation and a (so called phason) vector field accounting at macroscopic scale of local phase changes, due to atomic…

Mathematical Physics · Physics 2015-11-23 Luca Bisconti , Paolo Maria Mariano

This review presents a survey of, and guide to, New Materials Physics research. It begins with an overview of the goals of New Materials Physics and then presents important ideas and techniques for the design and growth of new materials. An…

Materials Science · Physics 2020-01-08 Paul C. Canfield

This article embraces a theoretical description of the first order phase transition in liquid metals with application of a cell fluid model. The results are obtained through calculation of the grand partition function without usage of…

Statistical Mechanics · Physics 2017-08-29 M. P. Kozlovskii , O. A. Dobush , I. V. Pylyuk

This paper aims to provide an introduction to a basic form of the ${\bf Q}$-tensor approach to modelling liquid crystals, which has seen increased interest in recent years. The increase in interest in this type of modelling approach has…

Soft Condensed Matter · Physics 2014-09-15 Nigel J. Mottram , Christopher J. P. Newton

Liquids with quasi - chemical bonding between molecules are described in terms of vertex model. It is shown that this bonding results in liquid - liquid phase transition, which occurs between phases with different mean density of…

Statistical Mechanics · Physics 2007-05-23 L. Son , R. Ryltcev
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