  The stochastic Landau-Lifshitz-Bloch equation in dimensions 1; 2; and 3
perturbed by pure jump noise is considered in the Marcus canonical form. A
proof for existence of a martingale solution is given. The proof uses the
Faedo-Galerkin approximation; which is followed by compactness and tightness
arguments. This is followed by use of the Jakubowski's version of the Skorohod
Theorem. Pathwise uniqueness and the theory of Yamada and Watanabe give the
existence of a strong solution for dimensions 1 and 2. A weak convergence
method is later used to establish a Wentzell-Freidlin type large deviation
principle for the small noise asymptotic of solutions for dimensions 1 and 2.
