可逆催化反应网络中离散性引起的慢弛豫
Discreteness-Induced Slow Relaxation in Reversible Catalytic Reaction Networks
摘要：
通过随机模拟和分析由资源和作为催化剂的相应产物组成的可逆反应网络的主方程，研究了平衡附近波动松弛的减缓。随着分子数$N$的减少，由于催化剂的不足，达到平衡的弛豫时间延长，如与连续极限相比的放大所证明的。该弛豫时间的放大率由标度函数表示为$h = N \exp(-βV)$，并且当$N$变得小于临界值$h \sim 1$时，其变得显著，其中$β$是逆温度，$V$是产物和资源之间的能隙。
英文摘要：
Slowing down of the relaxation of the fluctuations around equilibrium is investigated both by stochastic simulations and by analysis of Master equation of reversible reaction networks consisting of resources and the corresponding products that work as catalysts. As the number of molecules $N$ is decreased, the relaxation time to equilibrium is prolonged due to the deficiency of catalysts, as demonstrated by the amplification compared to that by the continuum limit. This amplification ratio of the relaxation time is represented by a scaling function as $h = N \exp(-βV)$, and it becomes prominent as $N$ becomes less than a critical value $h \sim 1$, where $β$ is the inverse temperature and $V$ is the energy gap between a product and a resource.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
