Transition theory

Barois P 1992 Phase transitions in liquid orystals introduotion to phase transition theories Phase Transitions In Liquid Crystals ed S Martelluooi and A N Chester (New York Plenum)... 

Now we make the usual assumption in nonadiabatic transition theory that non-adiabaticity is essential only in the vicinity of the crossing point where e(Qc) = 0- Therefore, if the trajectory does not cross the dividing surface Q = Qc, its contribution to the path integral is to a good accuracy described by adiabatic approximation, i.e., e = ad Hence the real part of partition function, Zq is the same as in the adiabatic approximation. Then the rate constant may be written as... 

M. L. Roy, M. J. Pikal, E. C. Rickard, and A. Maloney, The effects of formulation and moisture on the stability of a freeze-dried monoclonal antibody-vinca conjugate A test of the WLF glass transition theory Dev. Biol. Standards, 74, 323 (1991). 

Straightforward analytical models, however, receive particular attention in the present book, as they are of unique significance in the comprehension of physical phenomena and, moreover, provide the very language to describe them. To exemplify, recall the effect caused on the phase transition theory by the exactly soluble two-dimensional Ising model. Nor can one overestimate the role of the quasiparticle concept in the theory of electronic and vibrational excitations in crystals. As new experimental evidence becomes available, a simplistic physical picture gets complicated until a novel organizing concept is created which covers the facts known from the unified standpoint (thus underlying the aesthetic appeal of science). 

Fig. 3.4. Analysis of the degradation of KS1/ 4 hydrazide conjugate by the Williams-Landel-Ferry glass transition theory (Fig. 9 from [3.10]).

Nelson, K.A. and Labuza, T.P. 1993. Glass transition theory and the texture of cereal foods. In The Glassy State in Foods (J.M.V. BlanshardandP.J. Lillford, eds), pp. 513-517. Nottingham Univ. Press, Loughborough, Leicestershire. 

Predicted from the Random First Order Transition Theory of Glasses. 

F. Three-stage (partial melting, recrystallization, and total melting) phase transition theory... 

Equation (6.15) is the main result from this section. Even if you cannot reproduce the derivation above on a moment s notice, you should aim to remember Eq. (6.15). This result says that if you can find the energy of a minimum and a transition state and the vibrational frequencies associated with these states, then you can calculate the rate for the process associated with that transition state. Even though the activation energy in Eq. (6.15) is defined by the minimum energy path, the overall transition theory rate takes into account contributions from other higher energy trajectories. 

Development of modeling capability of photo-oxidation based on quantum transition theory... 

X. Xia and P. G. Wolynes, Fragilities of liquids predicted from the random first order transition theory of glasses. Proc. Natl. Acad. Sci. USA 97, 2990-2994 (2000). 

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