• Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Virial theorem; Liénard-type equation; Jacobi last multiplier; symplectic form; Banach manifold.

    • Abstract


      A geometrical description of the virial theorem (VT) of statistical mechanics is presented using the symplectic formalism. The character of the Clausius virial function is determined for second-order differential equations of the Liénard type. The explicit dependence of the virial function on the Jacobi last multiplier is illustrated. The latter displays a dual role, namely, as a position-dependent mass term and as an appropriate measure in the geometrical context.

    • Author Affiliations


      José Cariñena1 Anindya Ghose Choudhury2 Partha Guha3

      1. Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain
      2. Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Kolkata 700 009, India
      3. S N Bose National Centre for Basic Sciences, JD Block, Sector-3, Salt Lake, Kolkata 700 098, India
    • Dates

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.