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The study of thermodynamics of topological defects is an important challengeto understand their underlying physics. Among them, magnetic skyrmions have aleading role for their physical properties and potential applications instorage and neuromorphic computing. In this paper, the thermodynamic statisticsof magnetic skyrmions is derived. It is shown that the skyrmion free energy canbe modelled via a parabolic function and the diameters statistics obeys theMaxwell-Boltzmann distribution. This allows for making an analogy between thebehavior of the distribution of skyrmion diameters statistics and the dilutedgas Maxwell-Boltzmann molecules distribution at thermodynamical equilibrium.The calculation of the skyrmion configurational entropy, due tothermally-induced changes of size and shape of the skyrmion, is essential forthe determination of thermal fluctuations of the skyrmion energy around itsaverage value. These results can be employed to advance the field ofskyrmionics.

Configurational entropy of magnetic skyrmions as an ideal gas