07-25U

Within the two-particle cluster approximation and in the framework of the replica symmetric approach we study a proton glass model with essential competing short-range and weak long-range interactions. Influence of random internal fields and long-range interactions on the order parameters of proton glass, static susceptibility, and phase diagram of the model is explored. Within the Glauber approach we obtain an expression for the linear dynamic susceptibility of the model. It is shown that the imaginary part of the susceptibility exhibits a low-temperature peak which corresponds to the system transition to a non-ergodic state. We discuss a possibility to apply the present theory to description of the proton glasses of the $Rb_{1 - x} (NH_4 )_x H_2 PO_4 $ type.