At present , J1819–1458 is the only rotating radio transient ( RRAT ) detected in X-rays .
We have studied the long-term evolution of this source in the fallback disc model .
The model can reproduce the period , period derivative and X-ray luminosity of J1819–1458 simultaneously in the accretion phase at ages \sim 2 \times 10 ^ { 5 } yr. We obtained reasonable model curves with a magnetic dipole field strength B _ { 0 } \sim 5 \times 10 ^ { 11 } G on the pole of the neutron star , which is much weaker than the field inferred from the dipole-torque formula .
With this B _ { 0 } and the measured period , we find J1819–1458 below and close to the radio pulsar death line .
Our results are not sensitive to initial period , and the source properties can be produced with a large range of disc masses .
Our simulations indicate that J1819–1458 is evolving towards the properties of dim isolated neutron stars at later phases of evolution .
This implies a close evolutionary link between RRATs and dim isolated neutron stars .
For other RRATs with measured period derivatives and unknown X-ray luminosities , we have estimated the lower limits on the B _ { 0 } values in the fallback disc model .
These limits allow a dipole field distribution for RRATs that could fill the B _ { 0 } gap between the estimated B _ { 0 } ranges of dim thermal isolated neutron stars and central compact objects in the same model .