A BAYESIAN TEMPERATURE DEPENDENT FLUCTUATION EXPRESSION IN CANONICAL ENSEMBLES
 
 

Abraham F. Jalbout
Department of Chemistry, The University of New Orleans, New Orleans, LA 70148;
Department of Physics, Dillard University, New Orleans, LA 70112;
EJMAPS Organization, 1107 Carrollton Ave, Metairie, LA 70005; Ajalbout@ejmaps.org
 

ABSTRACT
In this work, a new model for fluctuations in Canonical ensembles for which the partition function Q is independent on the number of molecules, (N), the volume component (V), and temperature (in the form of ?=(kT)-1, where T=temperature, k=Boltzman’s constant). Our model incorporates the basic form of Baye’s theorem, and will be applied to a real example for which the probability of the expected value of the energy given the temperature will be calculated. In essence an expression for the thermal energy in these fluctuations is presented.