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dc.contributor.author
Plastino, Angel Ricardo  
dc.contributor.author
Tsallis, C.  
dc.date.available
2017-06-05T15:37:58Z  
dc.date.issued
2016-03  
dc.identifier.citation
Plastino, Angel Ricardo; Tsallis, C.; Dissipative effects in nonlinear Klein-Gordon dynamics; Europhysics Letters; Europhysics Letters; 113; 5; 3-2016; 1-6; 50005  
dc.identifier.issn
0295-5075  
dc.identifier.uri
http://hdl.handle.net/11336/17473  
dc.description.abstract
We consider dissipation in a recently proposed nonlinear Klein-Gordon dynamics that admits exact time-dependent solutions of the power-law form ei(kx>wt) q , involving the q-exponential function naturally arising within the nonextensive thermostatistics (ezq ≡ [1∗ (1>q)z]1/(1>q), with ez 1 < ez). These basic solutions behave like free particles, complying, for all values of q, with the de Broglie-Einstein relations p < >k, E < >> and satisfying a dispersion law corresponding to the relativistic energy-momentum relation E2 < c2p2 ∗ m2c4. The dissipative effects explored here are described by an evolution equation that can be regarded as a nonlinear generalization of the celebrated telegraph equation, unifying within one single theoretical framework the nonlinear Klein-Gordon equation, a nonlinear Schrodinger equation, and the power-law diffusion (porousmedia) equation. The associated dynamics exhibits physically appealing traveling solutions of the q-plane wave form with a complex frequency > and a q-Gaussian square modulus profile.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Europhysics Letters  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Nonlinear Klein-Gordon Equation  
dc.subject
Telegraphers Equation  
dc.subject
Dissipation  
dc.subject.classification
Otras Ciencias Físicas  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Dissipative effects in nonlinear Klein-Gordon dynamics  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-06-05T14:47:44Z  
dc.journal.volume
113  
dc.journal.number
5  
dc.journal.pagination
1-6; 50005  
dc.journal.pais
Reino Unido  
dc.description.fil
Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina  
dc.description.fil
Fil: Tsallis, C.. Centro Brasileiro de Pesquisas Fisicas; Brasil. Santa Fe Institute; Estados Unidos  
dc.journal.title
Europhysics Letters  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1209/0295-5075/113/50005  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1209/0295-5075/113/50005/meta