Possible force–entropy correlation

Abstract

A statistical thermodynamic approach of moving particles forming an elastic body is presented which leads to reveal molecular–mechanical properties of classical and nonextensive dynamical systems. We derive the Boltzmann–Gibbs (BG) entropy form and relate it to Newton's law of motion in relation to a distinct tensile force acting on the systems at constant volume and number of particles. Tsallis generalization of the BG entropy is deduced assuming the thermal energy of the particles to be proportional to their energy states by the nonextensivity factor q−1.