From e6f638a736629a97f210b856fcded51a7ef09813 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 25 Sep 2018 16:43:58 -0400 Subject: clarification to discussion of former work on SOS algorithms --- monte-carlo.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) (limited to 'monte-carlo.tex') diff --git a/monte-carlo.tex b/monte-carlo.tex index 57f3859..4b9ba61 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -434,8 +434,9 @@ $s_i\cdot j=-i-j$. The elements of order two are reflections $s_i$, whose action on $\Z$ is transitive. The coupling can be any function of the absolute difference $|i-j|$. Because random choice of reflection will almost always result in energy changes so large that the whole system is flipped, it is -better to select random reflections about integers close to the average state +better to select random reflections about integers or half-integers close to the average state of the system. A variant of the algorithm has been applied without a field +whose success relies both on this and on using nonzero $q$ \cite{evertz_stochastic_1991}. \section{Performance} -- cgit v1.2.3-54-g00ecf