Truncated Nambu-Poisson bracket and entropy formula for multiple membranes

Computations of Nambu-Poisson cohomologies

In this paper, we want to associate to a n-vector on a manifold of dimension n a cohomology which generalizes the Poisson cohomology of a 2-dimensional Poisson manifold. Two possibilities are given here. One of them, the Nambu-Poisson cohomology, seems to be the most pertinent. We study these two cohomologies locally, in the case of germs of n-vectors on Kn (K = R or C).

Dynamics of generalized Poisson and Nambu–Poisson brackets

A Survey on Nambu–Poisson Brackets

The paper provides a survey of known results on geometric aspects related to Nambu-Poisson brackets.

A Poisson Bracket on Multisymplectic Phase Space ∗

A new Poisson bracket for Hamiltonian forms on the full multisymplectic phase space is defined. At least for forms of degree n − 1, where n is the dimension of space-time, Jacobi's identity is fulfilled.

Poisson Bracket Formulation of Nematic Polymer Dynamics

We formulate the dynamical theory of nematic polymers, starting from a microscopic Poisson bracket approach. We find that the Poisson bracket between the nematic director and momentum depends on the (Maier-Saupe) order parameter of the nematic phase. We use this to derive reactive couplings of the nematic director to the strain rates. Additionally, we find that local dynamics breaks down as the...