  Study of canonical entropy in electron-proton interactions at $\sqrt{s}$ =
300 GeV is presented. The precision data collected by the H1 experiment at the
HERA in different ranges of invariant hadronic mass $W$ and the squared
four-momentum exchange $Q^{2}$ in $ep$ interactions have been analyzed in the
ensemble theory approach. The canonical partition function relates to the
multiplicity distribution which is often studied in collider experiments. We
use the canonical ensemble partition function to explore the dynamics of hadron
production in $ep$ interactions by devising different methods to find the
entropic parameter and the collision temperature. The inverse slope of the
transverse momentum spectrum of produced hadrons also relates to the
temperature. In the recent past, the CMS, ATLAS and ALICE experiments at the
LHC have studied the charged hadron transverse momentum and particle
distributions in proton-proton and proton-nucleus interactions by using the
Tsallis function within this approach. A detailed investigation into the role
of the system volume and relation amongst different dynamical parameters
reveals interesting results.
