Non-equilibrium and Irreversible Simulation of Competition among Languages

Diffusive resettlement: irreversible urban transitions in closed systems

We propose a phenomenological non-equilibrium framework for modelling the evolution of cities which describes the intra-urban resettlement as an irreversible diffusive process. We validate this framework using the actual migration data for the Australian capital cities. With respect to the residential relocation, the population is shown to be composed of two distinct groups, exhibiting different relocation frequencies. In the context of the developed framework, these groups can be interpreted as two components of a binary mixture, each with its own diffusive relaxation time. Using this approac…

将竞争纳入双重可达性评估：竞争均衡法

Incorporating Competition into Dual Accessibility Assessment: The Competitive Equilibrium Method

针对平衡成本法无法精准衡量交通系统竞争动态的问题，本研究提出纳入用户竞争的竞争均衡可达性评估法，经圣保罗三座城市验证其对就业供给变化更敏感，且公开了数据与工具。

Spatial firm competition in two dimensions with linear transportation costs: simulations and analytical results

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been long known that the competition equilibrium is not guaranteed to exist if the most straightforward linear transportation costs are assumed. We show by simulations and also analytically that if periodic boundary conditions in two dimensions are assumed, the equilibrium exists for a pair of firms at any distance. When a larger number of firms is considered, we…