The effect of modulating potential of the nanotube surface on heat capacity of degenerate and nondegenerate
electron gas in a longitudinal magnetic field is considered. This thermodynamic value is represented by oscillating and monotonic terms. The heat capacity of degenerate electron gas exhibits de Haase–van Alphen type oscillations dependent on density of electrons and Aharonov–Bohm type ones dependent on intensity of magnetic flux through the nanotube crosssection. As for nondegenerate electron gas there occur
only Aharonov–Bohm type oscillations. Investigation into heat capacity makes it possible to follow the transition from the localized condition of electrons in
modulating potential wells to their free motion along the tube. The limiting transition to a two-dimensional superlattice gas is considered.
PACS: 73.63.Fg Nanotubes; PACS: 65.80.+n Thermal properties of small particles, nanocrystals and nanotubes; PACS: 65.40.Ba Heat capacity; PACS: 74.78.Fk Multilayers, superlattices, heterostructures.
Key words: nanotube, superlattice, degenerate and nondegenerate electron gas, heat capacity, magnetic field.