The critical behaviour of a one-dimensional generalized quantum hard-rods model in a longitudinal magnetic field is studied by finite-size scaling using the Lanczos algorithm. The maximal lattice in our calculation is L=20.

We propose a one-dimensional rice-pile model which connects the 1D BTW sandpile model (Phys. Rev. A 38 (1988) 364) and the Oslo rice-pile model (Phys. Rev. Lett. 77 (1997) 107) in a continuous manner. We found that for a sufficiently large system, there is a sharp transition between the trivial...