Macroscopic Diffusive Transport in a Microscopically Integrable Hamiltonian System
نویسندگان
چکیده
منابع مشابه
Mixed heavenly equation: a new integrable multi-Hamiltonian system
Abstract In the recent paper by one of the authors (MBS) and A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries [1], mixed heavenly equation appears as one of the canonical equations admitting partner symmetries. Here for the mixed heavenly equation, formulated in a two-component form, we present a Lax pair of Olver-Ibragimov-Sha...
متن کاملNon–integrability of a Weakly Integrable Hamiltonian System
The geometric approach to mechanics based on the Jacobi metric allows to easily construct natural mechanical systems which are integrable (actually separable) at a fixed value of the energy. The aim of the present paper is to investigate the dynamics of a simple prototype system outside the zero-energy hypersurface. We find that the general situation is that in which integrability is not preser...
متن کاملChaos in a Near-integrable Hamiltonian Lattice
We study the chaotic dynamics of a near-integrable Hamiltonian Ablowitz–Ladik lattice, which is N+2-dimensional if N is even (N+1, if N is odd) and possesses, for all N , a circle of unstable equilibria at ε = 0, whose homoclinic orbits are shown to persist for ε 6= 0 on whiskered tori. The persistence of homoclinic orbits is established through Mel’nikov conditions, directly from the Hamiltoni...
متن کاملMulti-Hamiltonian Structures on Beauville’s Integrable System and Its Variant
We study Beauville’s completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
متن کاملNonlinear continuous integrable Hamiltonian couplings
Based on a kind of special non-semisimple Lie algebras, a scheme is presented for constructing nonlinear continuous integrable couplings. Variational identities over the corresponding loop algebras are used to furnish Hamiltonian structures for the resulting continuous integrable couplings. The application of the scheme is illustrated by an example of nonlinear continuous integrable Hamiltonian...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2013
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.111.040602