Rist Operating Diagram (II)

Black Holes and the SYM diagram. II

Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry

Presented in this paper are algorithms to compute the positions of vertices and equations of edges of the Voronoi diagram of a circle set on a plane, where the radii of the circles are not necessarily equal and the circles are not necessarily disjoint. The algorithms correctly and efficiently work in conjunction with the first paper of the series dealing with the construction of the correct top...

Black Holes and the SYM Phase Diagram . II

The complete phase diagram of objects in M-theory compactified on tori T p, p = 1, 2, 3, is elaborated. Phase transitions occur when the object localizes on cycle(s) (the Gregory-Laflamme transition), or when the area of the localized part of the horizon becomes one in string units (the Horowitz-Polchinski correspondence point). The lowenergy, near-horizon geometry that governs a given phase ca...

Systems of Diagram Categories and K-theory Ii

The additivity theorem for comlicial dérivateurs is proved. Also, to any exact category in the sense of Quillen a K-theory space is associated. This K-theory is shown to satisfy the additivity, approximation and resolution theorems. CONTENTS 1. Introduzione 1 2. Chain complexes, homotopies, derived categories 3 2.1. Definition of the derived category 3 2.2. Homotopy pullbacks and homotopy pusho...

Phase diagram of vortex matter of type-II superconductors

We propose a model to construct the phase diagram for type-II superconductors through molecular-dynamics simulation. In this model, the Abrikosov vortices interact with long-range repulsion and short-range attraction. We are able to obtain the phase diagrams consisting of the vortex lattice, the intermediate-mixed phase (IMP), and the disordered vortex phase in the B-T , B-κ, and B-q planes, wh...