Generalized virial theorem for the Liénard-type systems
[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.
[发布日期] [发布机构]
[效力级别] [学科分类] 物理（综合）
[关键词] Virial theorem;Liénard-type equation;Jacobi last multiplier;symplectic form;Banach manifold. [时效性]
