dc.contributor.author
Oro, D.
dc.contributor.author
Alsedà, L.
dc.contributor.author
Hastings, A.
dc.contributor.author
Genovart, M.
dc.contributor.author
Sardanyés, J.
dc.date.accessioned
2023-11-27T14:09:37Z
dc.date.accessioned
2024-09-19T14:34:02Z
dc.date.available
2023-11-27T14:09:37Z
dc.date.available
2024-09-19T14:34:02Z
dc.date.issued
2023-03-06
dc.identifier.uri
http://hdl.handle.net/2072/537081
dc.description.abstract
We study spectral properties of Dirac operators on bounded domains Ω ⊂ R3 with boundary conditions of electrostatic and Lorentz scalar type and which depend on a parameter τ∈ R; the case τ= 0 corresponds to the MIT bag model. We show that the eigenvalues are parametrized as increasing functions of τ, and we exploit this monotonicity to study the limits as τ→ ± ∞. We prove that if Ω is not a ball then the first positive eigenvalue is greater than the one of a ball with the same volume for all τ large enough. Moreover, we show that the first positive eigenvalue converges to the mass of the particle as τ↓ - ∞, and we also analyze its first order asymptotics. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
eng
dc.description.sponsorship
ACKNOWLEDGMENTS. The authors thank the many fieldworkers who have contributed to data collection over the years, particularly Albert Bertolero and the technical staff of the Ebro Delta Natural Park. We also want to thank Clara Alsedà for her help in designing figures. Data collection and research have been funded by the Spanish Ministry of Science, the Spanish State Research Agency (AEI), The Fulbright Commission, and European Regional Development Fund (FEDER) [last grants: CGL2017-85210-P, PID2021-122893NB-C21, and Salvador de Madariaga-Fulbright (all to D.O.)]. This work is also supported through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) funded by (MCIN/AEI/10.13039/501100011033). We thank Centres de Recerca de Catalunya (CERCA) Programme (Generalitat de Catalunya) for institutional support. J.S. has been funded by the Ramón y Cajal grant (RYC-2017-22243 funded by MCIN/AEI/10.13039/501100011033 "European Social Fund (FSE) invests in your future"). Ll.A. has been also funded by the Spanish Ministry of Science and Innovation (grant PID2020-118281GB-C31 and MCIN/AEI/10.13039/501100011033). Two anonymous reviewers and an Associate Editor provided very helpful comments for improving the manuscript.
dc.format.extent
8 p.
cat
dc.publisher
Springer Science and Business Media Deutschland GmbH
cat
dc.relation.ispartof
Communications in Mathematical Physics
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Tipping points ; Runaway dispersal ; Nonlinear population dynamics ; Social behavior ; Feedback
cat
dc.title
Social copying drives a tipping point for nonlinear population collapse
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s00220-022-04526-3
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
