A family of non-equilibrium statistical operators (NSO) is introduced which differ by the system lifetime distribution over which the quasi-equilibrium (relevant) distribution is averaged. This changes the form of the source in the Liouville equation, as well as the expressions for the kinetic coefficients, average fluxes, and kinetic equations obtained with use of NSO. It is possible to choose a class of lifetime distributions for which thermodynamic limiting transition and to tend to infinity of average lifetime of system is reduced to the result received at exponential distribution for lifetime, used by Zubarev. However there is also other extensive class of realistic distributions of lifetime of system for which and after to approach to infinity of average lifetime of system non-equilibrium properties essentially change. For some distributions the effect of "finite memory" when only the limited interval of the past influence on behaviour of system is observed. It is shown, how it is possible to spend specification the description of effects of memory within the limits of NSO method, more detailed account of influence on evolution of system of quickly varying variables through the specified and expanded form of density of function of distribution of lifetime. The account of character of history of the system, features of its conduct in the past, can have substantial influence on non-equilibrium conduct of the system in a present moment time.
Influence of probability density function of the passage time in the method of non-equilibrium statistical operator on non-equilibrium properties of the system
Universal Family-Vicsek scaling in quantum gases far from equilibrium
Massachusetts Institute of Technology（麻省理工学院）；Korea Advanced Institute of Science and Technology（韩国科学技术院）；Institute of Science Tokyo（东京科学大学）；RIKEN Pioneering Research Institute (PRI)（理化学研究所先导研究本部）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)（理化学研究所交叉理论数学科学中心）；Nagoya University（名古屋大学）
Maximum entropy principle and the form of source in non-equilibrium statistical operator method
假设非平衡统计算子方法（Zubarev方法）中的指数乘子可以看作是系统过去寿命的分布密度，可以用任意分布函数代替。为了指定该分布，使用如[Schönfeldt J-H，Jiminez N，Plastino A R，Plastino A，Casas M 2007 \textit{Physica A} \textbf{374} 573]中的最大熵原理的方法。所得分布接近指数分布。最大熵原理的另一种方法，如在[Van der Straeten E and Beck C 2008 Phys. Rev. E \textbf{78} 051101]中，除了指数分布产生类似幂的对数正态分布，以及其他类型的分布和它们之间的过渡。
Lifetime distributions in the methods of non-equilibrium statistical operator and superstatistics
一个家庭的非平衡统计运营商的介绍不同的系统年龄分布的准平衡（相关）分布的平均值。为了描述系统的非平衡态，我们引入了一个新的热力学参数--系统寿命。在Beck和Cohen的著作[Physica A \textbf{322}，（2003），267]中作为密集的物理参数的波动量引入的超统计量，从被认为是物理参数的寿命（随机时间到系统简并度）的统计分布获得。建议将超统计理论中涨落参数的混合分布设为分段连续函数的形式。这类系统的寿命分布在系统演化的不同阶段有不同的形式。对系统演化的过去阶段的描述，可以对系统当前的非平衡行为产生重大影响。
