We compare the performance of the Kramers equation Monte Carlo (KMC) a
lgorithm with that of the Hybrid Monte Carlo (HMC) algorithm for numer
ical simulations with dynamical Kogut-Susskind fermions. Using the lat
tice Gross-Neveu model in 2 space-time dimensions, we calculate the in
tegrated autocorrelation time of different observables at a number of
couplings in the scaling region on 16(2) and 32(2) lattices while vary
ing the parameters of the algorithms for optimal performance. In our i
nvestigation the performance of KMC is always significantly below than
that of HMC for the observables used. We also stress the importance o
f having a large number of configurations for the accurate estimation
of the integrated autocorrelation time. (C) 1998 Published by Elsevier
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