Multiple Exclusion Statistics: adsorption of k-mers in 1D Y 2D networks

RICCARDO, JULIÁN; PASINETTI, P. M.; RAMIREZ PASTOR, A. J.; RICCARDO J. L.

Encuentro; VIII ENCUENTRO DE FÍSICA Y QUÍMICA DE SUPERFICIES; 2018

In this work we propose to better understand and develop the theoretical framework based on the extension of the formalism of Haldane Fractional Quantum Statistics1 for describe the complex phenomenon of adsorption of polyatomic molecules or in general for particle systems with geometric structure (linear chains or k-mer or exible) through a simple and manageable approach both analytically and in its practical application called Fractional Quantum Statistical Theory for Adsorption (FSTA for its acronym in English2 ). In this approach, the parameter of statistical exclusion, g (number of excluded states) by a molecule that is adsorbed) takes, in the Haldane formalism, values in the range [0, 1], where g = 0 and g = 1 the known cases of bosons and fermions, respectively. In this opportunity we approach the problem of the statistical mechanics of particles of size k (composed of k identical units) on a regular network of sites, extending the Haldane formalism for particles with g > 1. You get a generalized statistic where the value of the parameter g is related to the size and shape of the particle in the state adsorbed on network. In this way g acquires a significant physical significance and its accessible value from experiments thermodynamics.