Microcanonical temperature Arrhenius-like relation

Defining the microcanonical temperature as a kinetic energy that maximizes a phase-space distribution when projected onto the potential energy coordinate, we have shown that this temperature can characterize a time scale of structural isomerization dynamics in the liquid-like phase. In particular, it has been found that the local microcanonical temperature bears an Arrhenius-like relation to the inverse of the average lifetime in isomerization of M7 clusters. Thus, with this temperature one can extract critical information hidden behind the stepwise fluctuation of the kinetic energy of a trajectory in an isomerization process [33]. We have explored a possible origin of the Arrhenius-like relation. 

It is quite natural to try to plot log(f)fl versus 1/7 ,1, 1. Figure 13 displays a very clear numerical fact An Arrhenius-like exponential relation is observed between the local microcanonical temperature and the inverse of the average lifetime in each basin. Here we have used the numerical data studied in Refs. 8 and 19. The local microcanonical temperatures in Fig. 13 (and Fig. 14) cover the range of the total energy [— 13.5e, —11.0e]. 13.5e is close to the lowest end of the liquid-like... 

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