On non-linear susceptibility in supercooled liquids

By Silvio Franz, Giorgio Parisi. 2000

162 citations recorded by the source corpus.

In this paper, we discuss theoretically the behaviour of the four-point non-linear susceptibility and its associated correlation length for supercooled liquids close to the mode-coupling instability temperature Tc. We work in the theoretical framework of the glass transition as described by mean-field theory of disordered systems, and the hypernetted-chain approximation. Our results give an interpretation framework for recent numerical findings on heterogeneities in supercooled liquid dynamics.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/39a8e15b7c5364b759494768886e5dbf6795174d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. Ludovic Berthier
2. Giulio Biroli
3. Juan P. Garrahan
4. L. Janssen
5. Hajime Tanaka
6. Hua Tong
7. U. Seifert

In Electronic, Optical and Magnetic Materials

1. Ludovic Berthier
2. Giulio Biroli
3. Juan P. Garrahan

In Materials Chemistry

1. Ludovic Berthier
2. Giulio Biroli
3. Juan P. Garrahan
4. Hajime Tanaka
5. Hua Tong
6. L. Janssen
7. Stephen R. Williams
8. C. Royall

Citations in the corpus

• Theoretical perspective on the glass transition and amorphous materials (2010, background): “It was later realized that χ4(t) is in fact the natural diverging susceptibility in the context of pspin descriptions of supercooled liquids, where a true dynamical phase transition occurs at a certain critical temperature (Kirkpatrick and Thirumalai, 1988; Franz and Parisi, 2000).”