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Clarification and Questions on “Growing Length and Time Scales in Glass-forming Liquids”

Clarification and Questions on “Growing Length and Time Scales in Glass-forming Liquids”. Ryoichi Yamamoto Kyoto University. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A. Summary of Dasgupta’s talk.

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Clarification and Questions on “Growing Length and Time Scales in Glass-forming Liquids”

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  1. Clarification and Questions on“Growing Length and Time Scales in Glass-forming Liquids” Ryoichi Yamamoto Kyoto University TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AA

  2. Summary of Dasgupta’s talk Introduced a “temporal quantity Q(t0)” which is sensitive to particle motions associated with a microscopic length scale “a” and a lag time ”t”. Then, set “a=0.3s ” and “t=t4”.

  3. Summary of Dasgupta’s talk average part (later) fluctuating part

  4. Summary of Dasgupta’s talk Examined FSS for χ4 and B. consistent OK, FSS seems to work for the “fluctuating” part.

  5. Summary of Dasgupta’s talk Next, examined FSS for the structural relaxation time. FSS doesn’t work for the average relaxation time...

  6. Summary of Dasgupta’s talk Summary so far... Q1: FSS seems to work well for the “fluctuation part” but fails for the “average part”. Does this statement make sense?

  7. Summary of Dasgupta’s talk Finaly, try FSS for Configurational Entropy. Very interesting results, but still confusing... FSS seems to work for Sc, but the fitted values of x do not mach with those from χ4 or B at all. The relaxation time fits very well with AG fitting. Q2: What does this result suggest ? Decoupling of glowing time scale and glowing length scale with decreasing system size??

  8. Critical Slowing-down (’60-early ’70) fluctuations in “order parameter “ time-space correlation (2-point) Langevin Eq. need MCT This is so-called critical slowing-down. Glowing length directly leads to the slowing-down!!

  9. Glass Transition as CP (late ’90-) fluctuations in “local dynamics” time-space correlation (4-point) RY&Onuki (’97, ‘98), Glotzer (‘99), Berthier (‘04), Weeks (?), IMCT (‘06),... average relaxation any physics?? 4-point relaxation time (migration time of DH) coupling?? 2-point relaxation time (usual relaxation time)

  10. General Questions • What is the true identity of the DH and glowing length scale ξ? • Any correspondence with static properties? • Mosaic phase? Hidden order parameters? CRR? How can we identify them??? • What is the main role of the glowing length scale ξ? • We have no proper theory for bridging between glowing length scale (ξ) and glowing time scales (t4,k, tqm). • GT vs. CP-> more differences than similarities. • Does ξ contribute to slowdown the system, or accelerate it? (Remember Weeks’ talk.) • Is ξ nothing more than a by-product of slowing-down?

  11. Thank you for your attention ! Do you now who I am ? Do you believe in me ?

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