EQUILIBRIUM BEHAVIOR OF THE SEXUAL REPRODUCTION PROCESS WITH RAPID DIFFUSION

• 成果类型: Article
• 署名作者: NOBLE, C
• 署名单位: University System of Ohio; Oberlin College
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989802
• 发表日期: 1992
• 页码: 724-745
• 关键词: equations; systems

摘要

The sexual reproduction process is a reaction-diffusion type interacting particle system which exhibits phase transition. In this paper an upper bound is given for the critical value of the reaction rate and the equilibrium density is determined for all noncritical values of the reaction rate. The method of renormalized bond construction is the basis of our proof. Results for the hydrodynamic limit of the process are employed and some results for the associated nonlinear partial differential equation are developed to build the elements of this construction.