Magnetocaloric effect and frustrations in one-dimensional magnets
  In this paper, we investigated the magnetocaloric effect (MCE) in one-dimensional magnets with different types of ordering in the Ising model, Heisenberg, XY-model, the standard, planar, and modified Potts models. Exact analytical solutions to MCE as functions of exchange parameters, temperature, values and directions of an external magnetic field are obtained. The temperature and magnetic field dependences of MCE in the presence of frustrations in the system in a magnetic field are numerically computed in detail. 
A. V. Zarubin and F. A. Kassan-Ogly and M. V. Medvedev and A. I.   Proshkin
cond-mat.str-el cond-mat.stat-mech