Výsledky vyhledávání - "70 Mechanics of particles and systems::70S Classical field theories [Classificació AMS]"

More insights into symmetries in multisymplectic field theories

Autor: Arnoldo Guerra IV, Narciso Román-Roy

Publikováno v: Symmetry
Volume 15
Issue 2
Pages: 390

This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e04804df8ec35f2f7e6ac36ad5520f94
http://arxiv.org/abs/2301.01255

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Skinner–Rusk formalism for k-contact systems

Autor: Xavier Gràcia, Xavier Rivas, Narciso Román-Roy

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of $k$-contact Hamiltonian systems, which is based on the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99e99158ad2fb0d5b9e306025b125214
https://hdl.handle.net/2117/365716

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Multicontact formulation for non-conservative field theories

Autor: Manuel De Leon, Jordi Gaset, Xavier Rivas, Miguel-C. Muñoz-Lecanda, Narciso Román-Roy

A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and using the forms that define this multicontact structure

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97651bd80a9abd7c4f07421a1545c8de

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A summary on symmetries and conserved quantities of autonomous Hamiltonian systems

Autor: Narciso Román-Roy

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

A complete geometric classification of symmetries of autonomous Hamiltonian mechanical systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known results and properti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a630ed8566a1257b8378ddcb0c5e9a29
https://hdl.handle.net/2117/363198

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Constraint algorithm for singular field theories in the k-cosymplectic framework

Autor: Gràcia Sabaté, Francesc Xavier, Rivas Guijarro, Xavier, Román Roy, Narciso

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of $k$-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of $k$-precosymplectic structure,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c893fc5179892d54d50d02fb524276de
http://hdl.handle.net/2117/176508

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Griffiths Variational Multisymplectic Formulation for Lovelock Gravity

Autor: Santiago Capriotti, Jordi Gaset, Leandro Salomone, Narciso Román-Roy

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58cd694b3e6f6d110d708bfa7d051acb

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Variational principles and symmetries on fibered multisymplectic manifolds

Autor: Pedro Daniel Prieto-Martínez, Narciso Román-Roy, Jordi Gaset

Publikováno v: Communications in Mathematics, Vol 24, Iss 2, Pp 137-152 (2016)
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic structure. Then, for the corresponding variational equations, conserved quantities (or, what is equivalent, c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77d784869c11593c440bce1d50772b4f
https://doaj.org/article/6bb378af8dd7482e866fc675f3293c6b

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New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity

Autor: Jordi Gaset, Narciso Román-Roy

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We present a covariant multisymplectic formulation for the Einstein-Palatini (or Metric-Affine) model of General Relativity (without energy-matter sources). As it is described by a first-order affine Lagrangian (in the derivatives of the fields), it

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e4029f2683add3a50d113bde60bd1db

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Remarks on multisymplectic reduction

Autor: A. Echeverría-Enríquez, Miguel C. Muñoz-Lecanda, Narciso Román-Roy

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.
9 pages. The definition of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::488a12ae372c5ae2262a8a603db32144
http://arxiv.org/abs/1712.09901

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Ferroelectrics as Smart Mechanical Materials

Autor: Kumara Cordero-Edwards, Gustau Catalan, Amir Abdollahi, Neus Domingo, Jordi Sort

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname

This is the peer reviewed version of the following article: Cordero, K., Domingo Marimon, Neus, Abdollahi, A., Sort Viñas, Jordi, Catalan, G. Ferroelectrics as smart mechanical materials. "Advanced materials", 21 Juliol 2017, vol. 29, núm. 37, p. 1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e856068ba731614ce57af7f681e62342
https://pubmed.ncbi.nlm.nih.gov/28730658

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