Recent work has shown that direct Urca processes can occur in the inte
riors of neutron stars that are sufficiently massive. Direct Urca proc
esses considerably speed up the cooling of neutron stars, thereby acce
lerating the decay of the magnetic field in their cores. We included t
he latter effect in calculations of the evolution of magnetic fields o
f neutron stars. It is shown that the decay timescale reduces consider
ably and becomes on the order of 10(4) to 10(5) years. Thus, all neutr
on stars can be separated into two populations. The more massive ones
cool quickly and their magnetic fields decay rapidly, whereas these pr
ocesses proceed more slowly in the less massive stars.