Generalized virial theorem for the Liénard-type systems

Pramana

José Cariñena¹  Partha Guha3³  Anindya Ghose Choudhury² 

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

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown