148 citations · 1.1k across the 66 of their papers we have counts for
6 papers · 1 filter
Collisionless kinetic theory of rolling molecules
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
We derive a collisionless kinetic theory for an ensemble of molecules undergoing nonholonomic rolling dynamics. We demonstrate that the existence of nonholonomic constraints leads…
Euler-Poincaré formulation of hybrid plasma models
Darryl D. Holm, Cesare Tronci
Three different hybrid Vlasov-fluid systems are derived by applying reduction by symmetry to Hamilton's variational principle. In particular, the discussion focuses on the Euler-Po…
Hybrid models for complex fluids with multipolar interactions
Cesare Tronci
Multipolar order in complex fluids is described by statistical correlations. This paper presents a novel dynamical approach, which accounts for microscopic effects on the order par…
Reduction theory for symmetry breaking with applications to nematic systems
François Gay-Balmaz, Cesare Tronci
We formulate Euler-Poincaré and Lagrange-Poincaré equations for systems with broken symmetry. We specialize the general theory to present explicit equations of motion for nematic s…
Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
John Gibbons, Darryl D Holm, Cesare Tronci
The dynamics of Vlasov kinetic moments is shown to be Lie-Poisson on the dual Lie algebra of symmetric contravariant tensor fields. The corresponding Lie bracket is identified with…
Singular solutions for geodesic flows of Vlasov moments
John Gibbons, Darryl D. Holm, Cesare Tronci
The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known example of coadjoint motion. Remarkably, the prop…