Noether's theorem in multisymplectic geometry
Sign Up to like & getrecommendations! Published in 2017 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2017.09.003
Abstract: Abstract We extend Noether's theorem to the setting of multisymplectic geometry by exhibiting a correspondence between conserved quantities and continuous symmetries on a multi-Hamiltonian system. We show that a homotopy co-momentum map interacts with this… read more here.
Keywords: multisymplectic geometry; theorem multisymplectic; geometry; noether theorem ... See more keywords
Growth and remodelling from the perspective of Noether’s theorem
Sign Up to like & getrecommendations! Published in 2019 at "Mechanics Research Communications"
DOI: 10.1016/j.mechrescom.2019.04.012
Abstract: Abstract Starting from the observation that the growth of a body breaks the time translation symmetry of the body’s dynamics, we determine a scalar field, called internal time, that defines an indicator of the intrinsic… read more here.
Keywords: remodelling perspective; time; growth; noether theorem ... See more keywords
Noether’s theorem in statistical mechanics
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DOI: 10.1038/s42005-021-00669-2
Abstract: Noether’s calculus of invariant variations yields exact identities from functional symmetries. The standard application to an action integral allows to identify conservation laws. Here we rather consider generating functionals, such as the free energy and… read more here.
Keywords: statistical mechanics; theorem statistical; noether theorem; mechanics ... See more keywords
Noether’s theorem, the Rund–Trautman function, and adiabatic invariance
Sign Up to like & getrecommendations! Published in 2021 at "European Journal of Physics"
DOI: 10.1088/1361-6404/abeaff
Abstract: This article focuses on the recognition of an important quantity that will be called the Rund–Trautman function. It already plays a central role in Noether’s theorem since its vanishing characterizes a symmetry and leads to… read more here.
Keywords: rund trautman; trautman function; noether theorem;