Sustainable urban development has been receiving growing concerns from both city managers and urban residents across the world. As a yardstick of sustainability, urban carrying capacity (UCC) is an important conceptual underpinning that guides local governments in promoting sustainable urban...

We investigate here self-organised criticality (SOC) in two-dimensional dissipative sandpile models without the local conservation law. Both dissipative cellular automata and dissipative coupled map lattice models with open boundary conditions are considered. There appears to be no evidence for...

We investigate the evolutionary behaviour of a 2-D dry froth with initial ordered/disordered conditions corresponding, respectively, to monodisperse/polydisperse topological networks. Using the direct simulation approach, we discuss the scaling properties of the cell side distribution, f(n), and...

The soap froth provides an idealised example of a cellular structure, which evolves or coarsens over laboratory time-scales and for which topological measures appear to provide an intuitive characterisation. However, froth is an intrinsically non-equilibrium system, and topological measures are...

The scaling properties of 2D froth have been extensively investigated via numerical simulations, theory and experiment. The evolutionary process as a whole, however, consists of two regions involving several distinct stages, which are characterized by the froth structure. In particular,...