A large deviation system is established for the empirical processes of a mean-field interacting particle system with unbounded jump rates under assumptions that are satisfied by many interesting models including the first and the second Schlogl models. The action functional obtained has a form that is very useful for applications.
"Large Deviations for Empirical Process of Mean-Field Interacting Particle System with Unbounded Jumps." Ann. Probab. 22 (4) 2122 - 2151, October, 1994. https://doi.org/10.1214/aop/1176988496