  A Majorana fermion is the single fermionic particle that is its own
antiparticle. Its dynamics is determined by the Majorana equation, where the
spinor field is by definition equal to its charge-conjugate field. In this
paper, we investigated Shannon's entropy of linear Majorana fermions to
understand how this quantity is modified due to an external potential of the
linear type linear. Subsequently, we turn our attention to the construction of
an ensemble of these Majorana particles to study the thermodynamic properties
of the model. Finally, we show how Shannon's entropy and thermodynamic
properties are modified under the linear potential action.
