An information-theoretic formulation of Newton's second law
Department of Physics and Centro de Física dos
Plasmas, Instituto Superior Técnico
Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Accepted: 31 October 2001
From the principle of maximum entropy for a closed system in thermal equilibrium, for the first instance a clear relation is shown to exist between total entropy S (in terms of arrangements of particles) and the classical expression for the force acting on a particle in a rotating frame. We determine relationships between arrangement of particles and force in the case of the gravitational and elastic forces.
PACS: 02.30.Xx – Calculus of variations / 02.50.Cw – Probability theory / 05.20.-y – Classical statistical mechanics
© EDP Sciences, 2002