The complete phase diagrams of the antiferromagnetic spin-2 Blume-Capel Ising system is studied on the Bethe lattice by the use of exact recursion relations. In order to specify the states of the system, i.e. the different spin configurations, the ground state phase diagram is obtained on the...

The non-equilibrium dynamics of the kinetic spherical model with a non-conserved order-parameter, quenched to T≤T<Subscript>c</Subscript> from a fully disordered initial state, is studied at its upper critical dimension d=d<Superscript>*</Superscript>=4. In the scaling limit where both the waiting time s and the observation time t are large...</superscript></subscript>