  For the ideal Fermi gas that fills the space inside a cylindrical tube, there
are calculated the thermodynamic characteristics in general form for arbitrary
temperatures, namely: the thermodynamic potential, energy, entropy, equations
of state, heat capacities and compressibilities. All these quantities are
expressed through the introduced standard functions and their derivatives. The
radius of the tube is considered as an additional thermodynamic variable. It is
shown that at low temperatures in the quasi-one-dimensional case the
temperature dependencies of the entropy and heat capacities remain linear. The
dependencies of the entropy and heat capacities on the chemical potential have
sharp maximums at the points where the filling of a new discrete level begins.
The character of dependencies of thermodynamic quantities on the tube radius
proves to be qualitatively different in the cases of fixed linear and fixed
total density. At the fixed linear density these dependencies are monotonous
and at the fixed total density they have an oscillating character. Key words:
Fermi particle, nanotube, thermodynamic functions, low-dimensional systems,
equation of state, heat capacity, compressibility
