论文部分内容阅读
建立了在Dirichlet或零流边界条件下一维气体化学反应-传热-扩散耦合系统的随机模型,并以此为基础,推广了以Fokker-Plank方程为基础的临界涨落量级分析理论,并进一步建立了该类体系的随机热力学.同时,以非等温非均匀Schlogl模型体系为例,通过对相应的Fokker-Plank方程中漂移及扩散对概率分布演化之贡献的量级分析,论证了受制于化学反应-传热耦合的涨落展布指数的临界突跃律;发现临界涨落导致的耗散(涨落熵产生)已达决定性层次,不可避免将通过其热力学效应影响该类系统中进行的物理化学过程.
A stochastic model of one-dimensional gas-chemical reaction-heat transfer-diffusion coupling system under Dirichlet or zero-flow boundary conditions is established. Based on this, a critical fluctuation analysis theory based on the Fokker-Plank equation is generalized. And further establish the stochastic thermodynamics of this kind of system.At the same time, taking the non-isothermal non-uniform Schlogl model system as an example, through the order analysis of the contribution of drift and diffusion to the evolution of probability distribution in the Fokker-Plank equation, In the chemical reaction - heat transfer coupled with the spread index of sudden jump law; found that the critical fluctuations caused by the dissipation (fluctuation entropy generation) has reached a decisive level, it will inevitably be affected by the thermodynamic effects of such systems The physical and chemical processes carried out.