Novel Approach for Determination of Entropy and Compactivity of Granular Matter in Tube

Granular matter in a tube is studied in this work. For this purpose, we consider identical disks confined in a tube that has one open and one closed end whereby all surfaces are assumed to be hard and frictionless. Thus, a one-dimensional system is considered. Jamming occurs due to the local pressure in a uniform gravitational field parallel to the tube and rotation. The framework of the configurational statistics with a generalized Pauli principle is used, in which jammed microstates are encoded in particle configurations while macrostates are produced by uniform arbitrary agitations and described by entropy and volume. Moreover, mass density, compactivity and population correlations of quasiparticles are studied analytically.