The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [ I , II , IV ] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the...

The use of thin magnetic film memories for high speed computers has been well established. More recently, efforts have been made to adapt thin-film memory elements for operation in a phase script mode by using drive fields at two different frequencies to switch and read the state of the memory element. The resulting memory system is uniquely suited for operation in a parametron computer where i...

A kinematic theory of reflection high energy electron diffraction ~RHEED! is presented for textured polycrystalline thin films. RHEED patterns are calculated for arbitrary texture situations and for any general crystallographic orientation that may be encountered in thin-film growth. It is shown that the RHEED pattern can be used as a fast and convenient tool for in situ texture characterizatio...

In lock-in thermography the thermal diffusivity can be obtained from the slope of the linear relation between the phase of the surface temperature and the distance to the heating spot. However, in the case of thin samples, the linearity is not found. In this work we identify heat conduction to the surrounding gas as the mechanism responsible for the lost of linearity. Accordingly accurate measu...

The skin is a barrier membrane that separates environments with profoundly different water contents. The barrier properties are assured by the outer layer of the skin, the stratum corneum (SC), which controls the transepidermal water loss. The SC acts as a responding membrane, since its hydration and permeability vary with the boundary condition, which is the activity of water at the outer surf...

Recently, it has been shown that the size quantization of itinerant electrons in an ultra thin metal film plays an important role in the early formation stages and kinetic stabiliy of thin films. This Quantum Size Effect(QSE) also brings about a lot of new interesting physical and chemical properties of thin film. In this paper, I will give a brief introduction to the mechanism of QSE and talk ...

A curvilinear thin film model is used to simulate the motion of droplets on a virtual leaf surface, with a view to better understand the retention of agricultural sprays on plants. The governing model, adapted from Roy et al. (2002 J. Fluid Mech. 454, 235-261 (doi:10.1017/S0022112001007133)) with the addition of a disjoining pressure term, describes the gravity- and curvature-driven flow of a s...

Introduction Lecture 1. Algebraic properties of correlators in 2D topological field theory. Moduli of a 2D TFT and WDVV equations of associativity. Lecture 2. Equations of associativity and Frobenius manifolds. Deformed flat connection and its monodromy at the origin. Lecture 3. Semisimplicity and canonical coordinates. Lecture 4. Classification of semisimple Frobenius manifolds. Lecture 5. Mon...