Adam-Gibbs relationship

Adam-Gibbs relationship between them holds. 

Figure 3. The potential energy landscape and its connection to dynamics. Shown are (a) inherent structure energy cis. (b) configurational entropy S, and (c) diffiisivity D as functions of T for three isochores at p = 3.90 g/cm (5.13 cm /mol, triangles), p = 3.01 g/cm (6.65 cm /mol, squares), and p = 2.36 g/cm (8.50 cm /mol, circles). In panel (c). Sc is given per, Si02 unit. Panel (d) shows a test of the Adam-Gibbs relationship. Molar quantities are per mole ions.

Figure 4.12 The points give the measured viscosity-temperature relationship for e-terphenyl, while the shaded regions are the viscosities predicted by the Adam-Gibbs equation (4-10) using A5(7 ) measured for o-terphenyl. The two shaded regions represent alternative fits of the Adam-Gibbs parameters, one fit to the high-temperature, and the other to the low-temperature, data. (From Greet and Turnbull, reprinted with permission, from J. Chem. Phys. 47 2185, Copyright 1967, American Institute of Physics.)...

A well-known prediction connecting thermodynamics to dynamics appeared in the seminal work of Adam and Gibbs (AG),90 where semiempiri-cal arguments led to the following exponential relationship ... 

Major open questions where landscape-based ideas should prove helpful include the possible thermodynamic basis for the glass transition (Debenedetti et al., 1999), the relationship between kinetics and thermodynamics of deeply supercooled liquids and glasses (Adam and Gibbs, 1965 Wolynes, 1988), and translation-rotation decoupling and the breakdown of the Stokes-Einstein relationship in supercooled liquids (Fujara et al., 1992). In addition, the reformulation of the thermodynamics of hquids embodied in Eqs. (16), (52), (55), (56), (61), and (62) suggests that understanding basic topological features of a landscape s density-dependent statistics could lead to improved theories of simple and complex liquids. As explained in Section V, landscape statistics can be obtained from experiments, theory, and simulations. 

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