Computational Physics Group

Computational Problems in Physics 2005 Group Reports

This report contains the sub-reports of the working groups of the CPiP 2005 workshop held in Helsinki, Finland, May 23rd 27th, 2005. The sub-reports are: Group 1: Propagators for Quantum Systems, Group 2: Multiscale Modeling of Epitaxial Growth, Group 3: Markov Chains and Monte Carlo Simulations Without Detailed Balance, Group 4: Electrohydrodynamic Stability Analysis of Two-Phase Flows in Conf...

Computational Physics

Computational Physics

An automaton group: a computational case study

We introduce a two generated weakly branch contracting automaton group $G$ which is generated by a two state automaton on a three letter alphabet. Using its branch structure and the finiteness nature of a sequence of its factor groups we compute the order of some of these factors. Furthermore some algebraic properties of $G$ are detected .

Statistical and Computational Physics

(1) Exact universal amplitude ratios for two-dimensional Ising model and a quantum spin chain. (2) Critical behaviour of semi-infinite quenched dilute Ising-like systems in three dimensions: Ordinary transition. (3) Universal scaling functions for bond percolation on planar random and square lattices with multiple percolating clusters. (4) Polydispersity effect and universality of finite-size s...