An analytical description of rate effects in timing RPCs

An analytical framework for describing the RPC behavior under high irradiation is proposed, including the effect of the fluctuations of the field. The description is compared with an equivalent MC and data for timing RPCs, showing good agreement. Moreover, the formalism allows to clearly identify the main variables ruling the process.By using the DC electric properties of the plates, the MC allows to reproduce the charging-up process in a dynamic situation, revealing that it takes place at the scale of the relaxation time, varying with the primary rate.