Resumen: We study the random fluctuations of the transmission in disordered quasi-one-dimensional systems such as disordered waveguides and/or quantum wires whose random configurations of disorder are characterized by density distributions with a long tail known as Lévy distributions. The presence of Lévy disorder leads to large fluctuations of the transmission and anomalous localization, in relation to the standard exponential localization (Anderson localization). We calculate the complete distribution of the transmission fluctuations for a different number of transmission channels in the presence and absence of time-reversal symmetry. Significant differences in the transmission statistics between disordered systems with Anderson and anomalous localizations are revealed. The theoretical predictions are independently confirmed by tight-binding numerical simulations. Idioma: Inglés DOI: 10.1103/PhysRevE.96.062141 Año: 2017 Publicado en: Physical Review E 96, 6 (2017), 062141 [10 pp] ISSN: 2470-0045 Factor impacto JCR: 2.284 (2017) Categ. JCR: PHYSICS, MATHEMATICAL rank: 7 / 55 = 0.127 (2017) - Q1 - T1 Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 12 / 31 = 0.387 (2017) - Q2 - T2 Factor impacto SCIMAGO: 0.979 - Condensed Matter Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Statistics and Probability (Q2)