Non-Arrhenius temperature dependence

The dispersion of this waiting time distribution, i.e., its second central moment, is a measure that we can use to define a homogenization time scale on which the dispersion is equal to that of a homogeneous (Poisson) system on a time scale given by the torsional autocorrelation time. The homogenization time scale shows a clear non-Arrhenius temperature dependence and is comparable with the time scale for dielectric relaxation at low temperatures.156... 

The non-Arrhenius temperature-dependence of the relaxation time. It shows a dramatic increase when the glass transition temperature region is approached. This temperature dependence is usually well described in terms of the so called Vogel-Fulcher temperature dependence [114,115] ... 

Energy transfer limitations have long been recognized to affect the rates and mechanisms of fission and association reactions (Robinson and Holbrook, 1972 Laidler, 1987). In addition, it is increasingly being recognized that many exothermic bimolecular reactions can exhibit pressure-(density)-dependent rate parameters if they proceed via the formation of a bound intermediate. When energy transfer limitations exist, the rate coefficients exhibit non-Arrhenius temperature dependencies—i.e., the plots of ln(k) as a function of l/T are curved. 

J. Troe Professor Marcus, you were mentioning the 2D Sumi-Marcus model with two coordinates, an intra- and an intermolecu-lar coordinate, which can provide saddle-point avoidance. I would like to mention that we have proposed multidimensional intramolecular Kramers-Smoluchowski approaches that operate with highly nonparabolic saddles of potential-energy surface [Ch. Gehrke, J. Schroeder, D. Schwarzer, J. Troe, and F. Voss, J. Chem. Phys. 92, 4805 (1990)] these models also produce saddle-point avoidances, but of an intramolecular nature the consequence of this behavior is strongly non-Arrhenius temperature dependences of isomerization rates such as we have observed in the photoisomerization of diphenyl butadiene. 

The transport properties of liquid water also have a strongly anomalous behavior, in particular at low temperature [1,2]. Properties such as self-diffusion, viscosity, and different relaxation times show a strong non-Arrhenius temperature dependence, the characteristic activation energy increasing with decreasing tern-... 

The square tiling model has some attractive features reminiscent of real glasses, such as cooperativity, a relaxation spectrum that can be fit by the KWW equation, and a non-Arrhenius temperature-dependence of the longest relaxation time (Fredrickson 1988). However, the existence of an underlying first-order phase transition in real glasses is doubtful, and the characteristic relaxation time of the tiling model fails to satisfy the Adam-Gibbs equation. 

The degree of molecular mobility (assessed as the average molecular relaxation time r) of amorphous systems in the region near Tg follows a non-Arrhenius temperature dependence. This so-called fragility (dr/dr at Tg) of amorphous materials is a defining characteristic. ... 

The spin-lattice relaxation time 7] as a function of temperature T in liquid water has been studied by many researchers [387-393], and in all the experiments the dependence T (T) showed a distinct non-Arrhenius character. Other dynamic parameters also have a non-Arrhenius temperature dependence, and such a behavior can be explained by both discrete and continuous models of the water structure [394]. In the framework of these models the dynamics of separate water molecules is described by hopping and drift mechanisms of the molecule movement and by rotations of water molecules [360]. However, the cooperative effects during the self-diffusion and the dynamics of hydrogen bonds formation have not been practically considered. 

To process the non-Arrhenius temperature dependence of 7), we use an approach different from that described by Eq. (520). The method, which is describing, required data in a wide temperature range (from —30° to 180°C) and rather prolonged computer calculations. The temperature dependence 7) (T) can be broken in a small temperature range (from 5° to 70°C) into two intervals divided by a temperature Tc and approximated in each interval by a single exponential (Fig. 33). In this case the value of the effective activation energy a... 

Pressure Dependence and Non-Arrhenius Temperature Dependence Above Tg. The CM equation... 

It s restricted to batch reactors and can t account for the Influence of mass Inflow and outflow In continuous reactors. It also can t explain why some maximum-velocity and half-saturation coefficients determined In continuous reactors tend to show non-Arrhenius temperature dependencies (15-19) and why others seem to vary with dilution rate (20.21). 

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