The convergence of the steady-state fluctuation theorem (SSFT) is investigated in a shear-flow experiment performed in a dusty plasma. This medium has a viscoelastic property characterized by the Maxwell relaxation time ${\tau }_M$. Using measurements of the time series of the entropy production rate, for subsystems of various sizes, it is discovered that the SSFT convergence time decreases with the increasing system size until it eventually reaches a minimum value of ${\tau }_M$, no matter the size of the subsystem. This result indicates that the convergence of the SSFT is limited by the energy-storage property of the viscoelastic medium.

中文翻译：

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使用尘埃等离子体实验证明粘弹性介质中的波动定理收敛

在多尘等离子体中进行的剪切流实验中研究了稳态涨落定理 (SSFT) 的收敛性。该介质具有以麦克斯韦弛豫时间为特征的粘弹性${\tau }_{米}$. 使用熵产生率时间序列的测量，对于各种规模的子系统，发现 SSFT 收敛时间随着系统规模的增加而减少，直到最终达到最小值${\tau }_{米}$，无论子系统的大小。该结果表明 SSFT 的收敛受到粘弹性介质的储能特性的限制。