- Assume you have a particular choice with .
- Remember is a tiny
number (as
**H**is energy of full system is approximately the number of objects in system) and more importantly, varies rapidly. - Thus, we cannot choose points ``uniformly''.
- Rather, we assume point ``near''
. So that only
changes a little. This can be achieved by only changing one of the
spins at a time, i.e., we move and
unchanged.
- Typically, this produces a change as
**kT**is energy per site (up to numerical constants). - Remember classical result of energy of per degree of
freedom.
- So change in is roughly (i.e., modest).
- Thus, we will not move off ``peak'' of integrand.

Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu