The Contemporary Urban Condition: Understanding the Globalizing City as Informal, Contested, and Anchored.

In attempting to expand the vocabulary of urban description and understanding, and to offer a new composite conceptual framework for a more integrated urban planning and policy, this essay addresses the informal, contested, and anchored dimensions of the urban in turn; second, it seeks to increasingly link the three within the new global context; and finally, it attempts to draw these strands together in a proposed reconceptualization of the contemporary city within a world where the global is urbanizing and the urban is globalizing.

Statistical-mechanical description of classical test-particle dynamics in the presence of an external force field: modelling noise and damping from first principles

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly coupled to a large heat-bath in thermal equilibrium. Both subsystems are subject to an external force field. From the (time-non-local) generalized master equation a Fokker-Planck-type equation follows as a "quasi-Markovian" approximation. The kinetic operator thus defined is shown to be ill-defined; in specific, it does not preserve the positivity of the test-particle distribution function f(x, v; t). Adopting an alternative approach, previously introduced for quantum open systems, is proposed to lead to a correct kinetic operator, which yields all the expected properties. A set of explicit expressions for the diffusion and drift coefficients are obtained, allowing for modelling macroscopic diffusion and dynamical friction phenomena, in terms of an external field and intrinsic physical parameters.