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时间反演对称和非平衡统计定常态(Ⅱ)

周光召 苏肇冰

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时间反演对称和非平衡统计定常态(Ⅱ)

周光召, 苏肇冰

TIME REVERSAL SYMMETRY AND NON-EQUILIBRIUM STATISTICAL STATIONARY STATES (II)

ZHOU GUANG-ZHAO, SU ZHAO-BIN
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  • 本文是我们从微观量子统计理论出发讨论非平衡统计定常态的时间反演对称性质的第二部份。本文应用文献的结果对非平衡统计定常态的普遍性质进行较为系统的讨论。对于具有时间反演对称的非平衡统计定常态,证明了广义(自由能)势函数的存在性;导出了涨落耗散定理的Rayleigh-Jeans极限形式;推广了局部热平衡假设下的Onsager倒易关系;导得了序参量-守恒荷密度普遍方程(TDGL)的“可逆-不可逆”运动分解形式。
    This is the 2nd part of our discussion on time reversal symmetry applied to the non-equilibrium statistical stationary states (NESS) from a microscopic quantum statistical point of view. With the application of the main results of I, a systematic investigation on the general properties of the NESS is given. For systems invariant under time reversal, the existence of a generalized potential and the fluctuation-dissipation theorem in the low frequency limit are established in the NESS. The Onsager's reciprocity relations for the local thermodynamical equilibrium systems are also generalized to that for the NESS invariant under time reversal symmetry. Finally, the time dependent 'Ginzburg-Landan equations for order parameters and conserved densities have been expressed in a general form with time irreversible and reversible parts similar to that met in the literatures studying critical dynamics.
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出版历程
  • 收稿日期:  1980-08-02
  • 刊出日期:  2005-07-27

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