2026-06-28T15:23:29Zhttps://docta.ucm.es/rest/oai/request
oai:docta.ucm.es:20.500.14352/1240302025-09-17T00:10:07Zcom_20.500.14352_1col_20.500.14352_8
Docta Complutense advisor Rodríguez Plaza, María Jesús author Errasti Díez, Verónica 2025-09-16T18:36:12Z 2025-09-16T18:36:12Z 2025 https://hdl.handle.net/20.500.14352/124030 This thesis is devoted to the elucidation of the advent of Jacobi elliptic functions in the parametrization of the zero-field limit of the eight-vertex statistical mechanical model. Such a parametrization was a crucial step in the resolution of the model by Baxter, back in 1972. However, it has only been presented implicitly or partially in the literature, to the best of our knowledge. Our exposition is articulated into two parts. First, we review Jacobi elliptic functions and derive in detail their relevant identities. Then, we recount the zero-field eight-vertex model and comprehensively account for the suitability of elliptic functions in the parametrization proposed by Baxter.Esta tesis está dedicada a la elucidación de la aparición de funciones elípticas de Jacobi en la parametrización del límite de campo cero del modelo de ocho vértices en mecánica estadística. Dicha parametrización constituyó un paso clave en la resolución del modelo por parte de Baxter, en 1972. Sin embargo, esta solo se ha presentado implícita o parcialmente en la literatura, que nos conste. Nuestra exposición se articula en dos partes. En primer lugar, repasamos las funciones elípticas de Jacobi y derivamos en detalle sus identidades relevantes. Acto seguido, revisamos el modelo de ocho vértices en su límite de campo cero y explicamos exhaustivamente la idoneidad de las funciones elípticas en la parametrización propuesta por Baxter. eng Attribution-NonCommercial-NoDerivatives 4.0 International Elliptic functions: a brief introduction and advent in the zero-field eight-vertex model Breve introducción a las funciones elípticas bachelor thesis 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URL https://docta.ucm.es/bitstreams/8b5aefd4-6d6c-4e5f-9ec9-288b4f23285c/download File MD5 32f35d164d2dbbacdadb7992c5887a29 810902 application/pdf Errasti_Díez_Verónica.pdf