本文提出了一種將非平衡熱力學的拉格朗日變分公式重新表述為度量辛幾何形式的方法,並證明了這些約束變分原理的解可以由經典泊松括號和度量辛 4-括號的總和生成,並以哈密頓量和熵作為生成元。
This article presents a novel metriplectic reformulation of the Lagrangian variational principle for non-equilibrium thermodynamics, demonstrating that the dynamics of dissipative systems can be expressed using a combination of a classic Poisson bracket and a metriplectic 4-bracket.