Generalized Gibbs Ensembles of the Classical Toda Chain
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02320-5
Abstract: The Toda chain is the prime example of a classical integrable system with strictly local conservation laws. Relying on the Dumitriu–Edelman matrix model, we obtain the generalized free energy of the Toda chain and thereby… read more here.
Keywords: ensembles classical; toda; toda chain; gibbs ensembles ... See more keywords
On a family of KP multi–line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non–periodic Toda hierarchy
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.04.005
Abstract: Abstract We continue the program started in Abenda and Grinevich (2015) of associating rational degenerations of M –curves to points in G r TNN ( k , n ) using KP theory for real finite… read more here.
Keywords: toda; rational degenerations; line solitons; family multi ... See more keywords
Elements of indigenous socio-ecological knowledge show resilience despite ecosystem changes in the forest-grassland mosaics of the Nilgiri Hills, India
Sign Up to like & getrecommendations! Published in 2018 at "Palgrave Communications"
DOI: 10.1057/s41599-018-0157-x
Abstract: The Nilgiri Hills in the Western Ghats of India constitute a region of high biological and cultural diversity, and include an endangered shola forest-grassland mosaic ecosystem. A mosaic ecosystem is one consisting of adjacent, coexisting… read more here.
Keywords: toda; nilgiri hills; forest grassland; ecosystem ... See more keywords
Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aacecf
Abstract: In 1967, Japanese physicist Morikazu Toda published a pair of seminal papers in the Journal of the Physical Society of Japan that exhibited soliton solutions to a chain of particles with nonlinear interactions between nearest… read more here.
Keywords: toda lattice; toda; geometric topological; finite nonperiodic ... See more keywords
On the connection between some nonlinear physical models
Sign Up to like & getrecommendations! Published in 2017 at "Revista Brasileira De Ensino De Fisica"
DOI: 10.1590/1806-9126-rbef-2016-0083
Abstract: Neste trabalho revisamos alguns dos sistemas não-lineares mais paradigmáticos e desvendamos algumas das suas surpreendentes interligações. Os problemas de interesse, descrito matematicamente pelas equações de sine-Gordon, Toda e KdV, generalizam modelos f́ısicos conhecidos, como o… read more here.
Keywords: physical models; sine gordon; toda; connection nonlinear ... See more keywords