Download PDF by Kim K.J.: A BibTeX Guide via Examples

By Kim K.J.

This record describes how one can regulate quotation and bibliography types within the physique text,how to create a bibliography kind dossier, and the way to switch the bibliography sort dossier.

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Extra info for A BibTeX Guide via Examples

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Kob function. In the context of the dynamics of glass-forming liquids it has indeed been found to be useful to follow this approach. e. e. the density correlator for wave-vector q: 1 δρ(q, t)δρ∗ (q, t) . N Here we have introduced the density fluctuations F (q, t) = (19) N exp[iq · rj (t)] . δρ(q, t) = (20) j=1 Note that F (q, t) is a space-time correlation function that can directly be measured in light- or neutron scattering experiments and is also one of the key quantities in the theory of liquids.

Due to the lack of space we have not been able to discuss all of the other properties, although they are important as well and are a challenge to be understood (two-level systems, Boson peak, nature of the dynamical heterogeneities, aging behavior at low temperatures, confined systems, . . ). In addition, and as already mentioned in the Introduction, glassforming liquids are by no means the only statistical mechanics systems that show a glassy dynamics. There are spin glasses, foams, gels, granular materials etc.

The modes are “coupled”. This is the reason why this approach is called “mode-coupling theory”. Equations (21)–(24), commonly referred to as “mode-coupling equations, constitute a set of equations that describe the time and wave-vector dependence for F (q, t). The only input required are static quantities, such as the particles density, the temperature, and the static structure factor. Therefore we see that these static quantities determine the relaxation dynamics of the system, a conclusion that is somewhat surprising.

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