Temperature Dependent Motion of a Massive Quantum Particle

We report model calculations of the time-dependent internal energy and entropy for a single quasi-free massive quantum particle at a constant temperature. We show that the whole process started from a fully coherent quantum state to thermodynamic equilibrium can be understood, based on statistics of diffracted matter waves. As a result of thermal interaction between the particle and its surroundings, the motion of the particle shows new feature.Comment: 3 figure

Sorting by Foot: Consumable Travel-for Local Public Good and Equilibrium Stratification

This paper reexamine Tiebout’s hypothesis of endogenous sorting in a competitive spatial equilibrium setup with both income and preference heterogeneity. Agents decide endogenously the number of trips to consume a travel-for congestable local public good. We show that the equilibrium configuration may be completely segregated, incompletely segregated or completely integrated, depending crucially on the scale of local public good services, relative market rents and the underlying income/preference/local tax parameters. Segregated equilibrium may feature endogenous sorting purely by income or by both income and preferences. Multiple equilibria may arise when the equilibrium configuration is incompletely segregated.Endogenous Sorting, Integrated/Segregated Equilibrium, Income/Preference Heterogeneity