Reciprocal space statistical thermodynamics of inhomogeneous disordered systems

Statistical thermodynamics of economic systems

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic variables and their determination is reduced to the computation of the partition function, starting from an arbitrary function. Explicit hypothetical example...

Statistical Thermodynamics of Polymer Quantum Systems

Polymer quantum systems are mechanical models quantized similarly as loop quantum gravity. It is actually in quantizing gravity that the polymer term holds proper as the quantum geometry excitations yield a reminiscent of a polymer material. In such an approach both non-singular cosmological models and a microscopic basis for the entropy of some black holes have arisen. Also important physical ...

Disordered Systems in Phase Space

As a function of the disorder strength in a mesoscopic system, the electron dynamics crosses over from the ballistic through the diffusive towards the localized regime. The ballistic and the localized situation correspond to integrable or regular behavior while diffusive conductors correspond to chaotic behavior. The chaotic or regular character of single wave functions can be inferred from pha...

Statistical Properties of Disordered Quantum Systems

Augmented Space Recursion for Partially Disordered Systems. Augmented Space Recursion for Partially Disordered Systems

Abstract. Off-stoichiometric alloys exhibit partial disorder, in the sense that only some of the sublattices of the stoichiometric ordered alloy become disordered. This paper puts forward a generalization of the augmented space recursion (ASR) introduced earlier by one of us (Mookerjee et al 1997(*)) for systems with many atoms per unit cell. In order to justify the convergence properties of AS...