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Intermediate statistcs in the Landau Diamagnetism problem
##manager.scheduler.building##: Edificio Santa Maria
##manager.scheduler.room##: Auditorio San Agustin
Date: 2019-07-08 11:45 AM – 03:30 PM
Last modified: 2019-06-15
Abstract
The problem of diamagnetism solved by Landau continues to raise questions that are still relevant today,especially with regard to the inherent quantum nature of the problem. The role of boundary and dissipation,the meaning of the thermodynamic limits and above all mechanical mixtures classic and quantum. Diamagnetismcan be used as an illustrative phenomenon of the essential role of quantum mechanics in the surface,in the perimeter, and in the dissipation of the statistical mechanics of non-equilibrium and others. In our previous work we applied the q-deformed algebra to the Fermions statistic, and the results obtained for magnetization and magnetic susceptibility were very interesting, as they led us to associate the deformation factor q as an impurity factor (or disorder) in a superconducting where such a condition would be destroyed by modifying the pressure or temperature, for example. In this work we performed another generalizationfor fermions through intermediate statistics for anyons (Fermion-like or F-anyons) and the results as expectedwere different from the previous ones. What is relevant in this application is that regardless of the model, we note that the parameter q modifies the statistics and that at the limit of q tends to 1, we return to the standard fermionic model. As the problem of Landau is solved in the limit of high temperatures, it causes that in the first order the results are identical, being necessary to expand to a higher order.