tailieunhanh - MB distribution and its application using maximum entropy approach

Maxwell Boltzmann distribution with maximum entropy approach has been used to study the variation of political temperature and heat in a locality. We have observed that the political temperature rises without generating any political heat when political parties increase their attractiveness by intense publicity, but voters do not shift their loyalties. | Yugoslav Journal of Operations Research 26 (2016), Number 2, 189-198 DOI: MB DISTRIBUTION AND ITS APPLICATION USING MAXIMUM ENTROPY APPROACH Suman BHADRA Research Scholar Department of Mathematics IIEST, Shibpur (Formerly BESU, Shibpur) Sanat K. MAJUMDER Professor, Department of Mathematics IIEST, Shibpur (Formerly BESU, Shibpur) majumder_sk@ Received: May 2014 / Accepted: May 2015 Abstract: Maxwell Boltzmann distribution with maximum entropy approach has been used to study the variation of political temperature and heat in a locality. We have observed that the political temperature rises without generating any political heat when political parties increase their attractiveness by intense publicity, but voters do not shift their loyalties. It has also been shown that political heat is generated and political entropy increases with political temperature remaining constant when parties do not change their attractiveness, but voters shift their loyalties (to more attractive parties). Keywords: Entropy, Shannon Entropy, MB Distribution, Maximum Entropy Approach. MSC: 94A17, 82B10. 1. INTRODUCTION . Entropy in thermodynamics The first law of thermodynamics gives a generalization of the law of conservation of energy including heat energy according to which the total energy of the universe remains constant. Every system left to itself changes spontaneously at a final state of equilibrium. As a well known example is the passage of heat from a hotter region to a colder until both regions become of the same temperature, but if we think this process to occur in reverse order, it cannot happen spontaneously. Here comes the concept of the second law of thermodynamics, in addition to the first law of thermodynamics that determines the direction in which a process can take place in an isolated system, a system which is congested with inputs of both matter and energy. Two following statements form the basis of the second .