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Next, we analyse in a similar way the motion of an electron in a dynamically disordered continuum where the effect of a classical friction force (dissipation) is taken into account.
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This mode of failure is less common than the first two due to the efficient force dissipation that occurs through the insertional zone.
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| | The minimal value principle of the generalized energy is demonstrated using the atmosphere nonlinear dynamics. It is demonstrated more theoretically that the minimal value principle is coincident to the principle of least entropy production in the nonequilibrium thermodynamics of atmosphere. The minimal value principle shows that the generalized energy at the final state of a force dissipation dynamic system reaches a minimal value. However,the principle of least entropy production shows that th... | | 利用大气非线性动力学证明了广义能量极小值原理 ,进一步从理论上证明它是同大气非平衡态热力学最小熵产生原理在物理上是一致的 .前者表明 ,强迫耗散动力系统的终态广义能量达极小值 ;而最小熵产生原理表明 ,远离热力学平衡态的开放系其终态时系统内部的不可逆过程最弱 .而且 ,系统广义能量达极小值和系统熵产生达极小值的终态一般是一个稳定的定态 ,它对应着系统的某种有序结构 .也就是说它是一个“低耗高效”的有序定态 .大气系统作为自然界一个典型的物理复杂系统 ,其最小熵产生原理和广义能量极小值原理隐示了自然界复杂系统的一个一般性原理 ,它总是趋于一个“低耗高效”的有序定态 | | 文摘来源 | |   |
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