Simple and multiple scattering in disordered one-dimensional media: Renormalisation group approach |
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Authors: | L. S. Lucena F. D. Nobre C. Tsallis L. R. da Silva |
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Affiliation: | (1) Departamento de Fisica, Universidade Federal do Rio Grande do Norte, BR-59000, RN, Natal, Brazil;(2) Present address: Centro Brasileiro de Pesquisas Fisicas, CNPq-Rua Dr. Xavier Sigaud, 150, BR-22290 Rio de Janeiro, RJ, Brazil |
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Abstract: | The exact characteristic penetration length associated with both simple and multiple incoherent elastic scattering in semi-infinite one-dimensional disordered media is established as a function ofp (concentration of scattering centers) andf0 (transmission coefficient of a single center). Then we exhibit how these phenomena can be seen as critical ones, and the corresponding are reobtained within convenient real space renormalisation group frameworks. Finally we discuss a generalized model where the single center transmission coefficientf can randomly take two different valuesf1 andf2. |
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