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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/084/03/0373-0385

    • 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

       
      Published
      March 2015
      Early published
      26 February 2015

  • Pramana – Journal of Physics | News

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