Scaling properties of the relaxation time near the mean-field spinodal

We study the relaxation processes of the infinitely long-range interaction model (the Husimi-Temperley model) near the spinodal point. We propose a unified finite-size scaling function near the spinodal point, including the metastable region, the spinodal point, and the unstable region. We explicitly adopt the Glauber dynamics, derive a master equation for the probability distribution of the total magnetization, and perform the so-called van Kampen Omega expansion (an expansion in terms of the inverse of the systems size), which leads to a Fokker-Planck equation. We analyze the scaling properties of the Fokker-Planck equation and confirm the obtained scaling plot by direct numerical solution of the original master equation, and by kinetic Monte Carlo simulation of the stochastic decay process.Comment: 9 pages, 3 figure

A human-machine interface for manipulating a virtual 3-D object using natural hand gestures

In this paper, we propose a new human-machine interface for manipulating 3-D contents in a display. Motions of a hand or both hands of a user are taken images by a simple USB camera. The motions are recognized by a PC and transformed into corresponding instructions such as translation, rotation and scaling. In addition, unintentional movement and unconscious movement are eliminated in the method and smoother operation is realized. The result of the manipulation is displayed in the screen. Experiments were performed using Google Earth and 3-D CG contents, and the proposed system successfully manipulated its rotation and scaling by some hand motions of the user.本文データは学協会の許諾に基づきCiNiiから複製したものであ