Abstract
The generalization of the virial theorem is discussed. The case where the potential energy is a sum of homogeneous functions of various degree is investigated. If the potential energy U is composed of a gravitational (or Coulomb) energy and an energy of the short-range repulsion of particles, then virial inequalities of the form 2¯K + Ū < 0 are valid, where K is the kinetic energy. For classical systems of this type, but with a Hamiltonian relativistic in the momenta, the inequality 3Nθ < ¦Ū¦ holds, where N is the number of particles in the system, θ = kT, T is the temperature, and k is Boltzmann's constant.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
