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强迫耗散系统的有序结构和系统的发展(Ⅰ),最小熵产生原理和有序结构
Ordered structure and system development of the force dissipation system(Ⅰ), Principle of minimum entropy production and ordered structure
【摘要】 一个系统的发展总是由不可逆热力过程和非线性动力过程所驱动 .将大气动力学方程组同考虑了动能变化的Gibbs关系结合起来构建的熵平衡方程 ,才能更好地描述大气系统的不可逆热力过程和非线性动力过程 .至今非平衡态热力学仅利用Onsager线性唯象关系证明了最小熵产生原理 .利用新建立的熵平衡方程和大气动力学方程的性质证明 ,最小熵产生原理在热力学线性区和非线性区都是普遍成立的 .且当热量输送平衡、水汽输送平衡和动量输送平衡时 ,系统达到不可逆过程最弱的最小熵产生热力学状态 .当系统又是动力平衡且无平流时 ,这种最小熵产生态就是定态 .在偏离平衡态的条件下 ,这种定态对应于大气系统的某种有序结构
【Abstract】 Development of a system is always driven by the thermodynamic irreversible process and also the nonlinear dynamics process.The entropy equilibrium equation,which combines the equation set of atmosphere dynamics and the Gibbs relation in which kinetic energy change is taken into account,can describe the thermodynamic irreversible process and the nonlinear dynamics process.Up to now,the principle of minimum entropy production has been demonstrated only using the Onsager linear phenomenological relation in the nonequilibrium state thermodynamics.This paper demonstrates the principle of minimum entropy production by using the new entropy equilibrium equation that is established with the atmosphere kinetic equation.As a result the principle of minimum entropy production is universal in the linear and nonlinear regions of thermodynamics.A system arrives at a state of minimum entropy production with the weakest irreversible process,when it is in heat transportation balance;vapor transportation balance and momentum transportation balance.This minimum-entropy-production state is a stationary state,when the system is also in dynamic equilibrium and with out advection.This stationary state corresponds to a certain ordered structure of the atmosphere system, when it deviates from the equilibrium state.
【Key words】 nonlinear thermodynamics; entropy production; principle of least entropy production; ordered structure;
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2003年06期
- 【分类号】O415.3
- 【被引频次】9
- 【下载频次】456