@article{Arnaudon:2018:1751-8121/aabcec,
author = {Arnaudon, A},
doi = {1751-8121/aabcec},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {Structure preserving noise and dissipation in the Toda lattice},
url = {http://dx.doi.org/10.1088/1751-8121/aabcec},
volume = {51},
year = {2018}
}

Download

TY  - JOUR
AB  - In this paper, we use Flaschka's change of variables of the open Toda latticeand its interpretation in term of the group structure of the LU factorisationas a coadjoint motion on a certain dual of Lie algebra to implement a structurepreserving noise and dissipation. Both preserve the structure of coadjointorbit, that is the space of symmetric tri-diagonal matrices and arise as a newtype of multiplicative noise and nonlinear dissipation of the Toda lattice. Weinvestigate some of the properties of these deformations and in particular thecontinuum limit as a stochastic Burger equation with a nonlinear viscosity.This work is meant to be exploratory, and open more questions that we cananswer with simple mathematical tools and without numerical simulations.
AU  - Arnaudon,A
DO  - 1751-8121/aabcec
PY  - 2018///
SN  - 1751-8113
TI  - Structure preserving noise and dissipation in the Toda lattice
T2  - Journal of Physics A: Mathematical and Theoretical
UR  - http://dx.doi.org/10.1088/1751-8121/aabcec
UR  - http://arxiv.org/abs/1804.03480v1
UR  - http://hdl.handle.net/10044/1/59303
VL  - 51
ER  - 

Download