Glauber Dynamics On The Cycle Is Monotone

Details Glauber Dynamics On The Cycle Is Monotone Glauber Dynamics On The Cycle Is Monotone

2003-05-03

arxiv.org/abs/math/0305056v1

Mathematics

Probability

Scientific paper

We study heat-bath Glauber dynamics for the ferromagnetic Ising model on a
finite cycle (a graph where every vertex has degree two). We prove that the
relaxation time $\tau_2$ is an increasing function of any of the couplings
$J_{xy}$. We also prove some further inequalities, and obtain exact asymptotics
for $\tau_2$ at low temperatures.

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