Related papers: Mathematics and liquid crystals
We review the special theory of relativity kinematics and dynamics as well as the general theory of relativity under the aspect of logic.
We survey some of the connections linking complex dynamics to other fields of mathematics and science. We hope to show that complex dynamics is not just interesting on its own but also has value as an applicable theory.
The paper is concerned with various issues surrounding the mathematical description of defects in models of liquid crystals, drawing on experience from solid mechanics. The roles played by a suitable choice of function space and by the…
Some speculative preliminary ideas relating matrix theory and cosmology are discussed.
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…
A brief introduction and overview of the astrochemistry of dust, ice and gas and their interplay is presented, aimed at non-specialists. The importance of basic chemical physics studies of critical reactions is illustrated through a number…
A review article on the physics of beam-beam interactions in circular colliders.
Lattice results for matrix elements of light quark operators are reviewed. The discussion is focused on recent theoretical progress and new numerical calculations which appeared after the Lattice 2000 Conference.
Liquid crystals are phases of matter intermediate between crystals and liquids. Whereas classical liquid crystals have been known for a long time and are used in electro-optical displays, much less is known about their quantum counterparts.…
Review of the author's data, partly still unpublished, on studying of liquid tellurium and cesium are given. No proofs indicating phase transitions in liquids were found. New developments in studying the liquid-liquid phase transition are…
These informal notes deal with a number of questions related to sums and integrals in analysis.
This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micro-macro (or multiscale) models. Some elements of mathematical and numerical analysis are provided. These notes closely follow the lectures…
In the article the problems of the systems of computer mathematics use as a tool for the students learning and research activities support are investigated. The promising ways of providing access to the mathematical software in the…
A brief review of the Standard Model of particle physics is presented.
The goal of this Section is to formulate some of the basic results on the theory of integral equations and mention some of its applications. The literature of this subject is very large. Proofs are not given due to the space restriction.…
This work presents a tentative discussion of certain aspects of energy behavior in the context of mathematical fluid dynamics. While some observations are made regarding certain patterns in energy behavior under particular conditions, the…
A discussion of different criteria of consistency of quantum field theory from the point of view of physics and mathematics.
I discuss some compelling suggestions about particles which could be the dark matter in the universe, with special attention to experimental searches for them.
A Compact Introduction to Fractional Calculus is presented including basic definitions, fractional differential equations and special functions.
A review of recent developments in the analyses of supersymmetric dark matter is given.