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Metriplectic Structure of a Radiation-Matter Interaction Toy Model [article]

Giulia Marcucci, Claudio Conti, Massimo Materassi
2018 arXiv   pre-print
A dynamical system defined by a metriplectic structure is a dissipative model characterized by a specific pair of tensors, which defines the Leibniz brackets.  ...  The metric component encodes the radiation-matter coupling, driving the system to an asymptotically stable state in which the excited level of the atom is populated due to absorption.  ...  TWO-PHOTON ABSORPTION TOY MODEL We consider a very simplified toy model for the twolevel atomic system [11, 12] .  ... 
arXiv:1804.00526v1 fatcat:xfyqij5ouzawlpnk36zbqmhdtq

Metriplectic Structure of a Radiation-Matter-Interaction Toy Model

Massimo Materassi, Giulia Marcucci, Claudio Conti
2022
A dynamical system defined by a metriplectic structure is a dissipative model characterized by a specific pair of tensors, which defines a Leibniz bracket; and a free energy, formed by a "Hamiltonian"  ...  The metric component encodes the radiation-matter coupling, driving the system to an asymptotically stable state in which the excited level of the atom is populated due to absorption, and the radiation  ...  Hence, we consider a very simplified toy model for the two-level atomic system [13, 14] .  ... 
doi:10.3390/e24040506 pmid:35455169 pmcid:PMC9030907 fatcat:tkpjzhbwbbelbfa3aqxqy24b6i

Entropy as a Metric Generator of Dissipation in Complete Metriplectic Systems

Massimo Materassi
2016 Entropy  
bracket algebra (MBA): the conservative component of the dynamics is still generated via a Poisson algebra by the total energy H, while S, the entropy of the degrees of freedom statistically encoded in  ...  Here a (necessarily partial) overview on the types of systems subject to MBA formulation is presented, and the physical meaning of the quantity S involved in each is discussed.  ...  I want also to thank very much the patience and helpfulness of P. J. Morrison, who has made me know the beautiful metriplectic formalism, and E.  ... 
doi:10.3390/e18080304 fatcat:exbaesh76bh5fppdqxztookt2y

A Gravitational Origin of the Arrows of Time [article]

Julian Barbour, Tim Koslowski, Flavio Mercati
2013 arXiv   pre-print
General Relativity shares enough architectonic structure with the N-body problem for us to prove the existence of analogous complexity arrows in the vacuum Bianchi IX model.  ...  In the absence of non-trivial solutions with matter we cannot prove that arrows of dynamical information will arise in GR, though they have in our Universe.  ...  Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation.  ... 
arXiv:1310.5167v1 fatcat:mduk27jvkngo7bsi7eevm3btfi

Dissipation-induced instabilities in finite dimensions

R. Krechetnikov, J. E. Marsden
2007 Reviews of Modern Physics  
The goal of this work is to introduce a coherent theory of the counterintuitive phenomena of dynamical destabilization under the action of dissipation.  ...  over a vast literature.  ...  toy top or a ball on their fingertip.  ... 
doi:10.1103/revmodphys.79.519 fatcat:dz6bjnoncbfenha32qvsobrtg4

Symmetry methods in the atmospheric sciences

Alexander Bihlo
2010 unpublished
This is done using both Lie and discrete point symmetries as a criterion for the selection of Fourier modes.  ...  It is proved that the Lorenz--1960 model can be systematically re-derived with the aid of point symmetries of the v [...]  ...  If one aims to use finite-mode models for physical purposes and not only as toy models, the question of structure-preserving extensions of such minimal systems of equations is of certain interest.  ... 
doi:10.25365/thesis.12087 fatcat:3jdcmdejbngm5pechm2jpzp3dy