  In this paper, we discuss remnants of the Bardeen regular black hole
motivated by using the concept of thermal fluctuations. First, we derive the
equilibrium values of various thermodynamic quantities like entropy, Hawking
temperature, pressure, internal energy, Helmholtz free energy and Gibbs free
energy in the non-extended phase space. We then discuss geometrothermodynamics
(GTD) of Bardeen black hole to study its stability. Next, we estimate the size
of black hole remnant in terms of some known parameters of the black hole
solution. Motivated by the fact that estimation of size, characteristics and
stability of remnants of black holes could further increase our understanding
of binary collisions, information loss paradox and dark energy, the black hole
remnant, which gives an idea about stable mass left over after evaporation of
black hole, is seen to owe its presence due to thermal fluctuations. We see
that the thermal fluctuations bring an overall increase in entropy curve.
However, in presence of thermal fluctuations, a positive kink, which signifies
a maximum increase in the value of entropy, occurs at a certain value of
horizon, which is exactly equal to the remnant radius. We observe that the
thermal fluctuations, which are characteristics of quantum gravity, lead to
stable values of thermodynamic quantities near the remnant radius. In presence
of thermal fluctuations, we then derive various corrected thermodynamic
potentials and also discuss the validity of first law of black hole
thermodynamics for Bardeen black hole.
