DYNAMIC LAW OF PHYSICAL MOTION AND POTENTIAL-DESCENDING PRINCIPLE

Tian Ma (1) , Shouhong Wang (2)

1 SCU - Sichuan University [Chengdu]
2 Indiana University [Bloomington]

The main objectives of this paper are five-fold. The first is to introduce a general dynamic law for all physical motion systems, based on a new variational principle with constraint-infinitesimals. The second is to postulate the potential-descending principle (PDP). We show that PDP is a more fundamental principle than the first and second laws in thermodynamics, and gives rise to dynamical equations for non-equilibrium systems. The third is to demonstrate that the PDP is the first principle to describe irreversibility of all thermodynamic systems, with ther-modynamic potential as the basic physical quantity, rather than entropy. The fourth objective is to examine the problems faced by the Boltzmann equation. We show that the Boltzmann is not a physical law, is created as a mathematical model to obey the entropy-increasing principle (for dilute gases), and consequently is unable to faithfully describe Nature. The fifth objective is to prove an orthogonal-decomposition theorem and a theorem on variation with constraint-infinitesimals, providing the needed mathematical foundations of the dynamical law of physical motion.

Mots clés: dynamical law of physical motion; potential-descending principle; statistical physics; thermodynamics; entropy; irreversible processes Boltzmann equation; orthogonal-decomposition theorem; variation with constraint-infinitesimals

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique Générale [physics.gen-ph]

Tian Ma, Shouhong Wang. DYNAMIC LAW OF PHYSICAL MOTION AND POTENTIAL-DESCENDING PRINCIPLE. 2017. ⟨hal-01558752⟩