QUASI-LOCAL THERMODYNAMICS OF 2-DIMENSIONAL BLACK-HOLES

We present a formalism for analyzing the thermodynamics of two-dimensi onal black holes in finite-sized systems. The thermodynamic variables are defined on a quasilocal surface and are obtained for a general cla ss of dilaton theories of two-dimensional gravity. We also consider th e effects of electromagnetic and Liouville matter fields. We illustrat e the formalism by computing the thermodynamic properties of two black hole solutions: one obtained from a string-inspired theory and the ot her being a black hole in the ''R=T'' theory with a Liouville field.