Clarification and questions on growing length and time scales in glass forming liquids
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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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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.: AA


Summary of dasgupta s talk

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”.


Summary of dasgupta s talk1

Summary of Dasgupta’s talk

average part (later)

fluctuating part


Summary of dasgupta s talk2

Summary of Dasgupta’s talk

Examined FSS for χ4 and B.

consistent

OK, FSS seems to work for the “fluctuating” part.


Summary of dasgupta s talk3

Summary of Dasgupta’s talk

Next, examined FSS for the structural relaxation time.

FSS doesn’t work for the average relaxation time...


Summary of dasgupta s talk4

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?


Summary of dasgupta s talk5

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??


Critical slowing down 60 early 70

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!!


Glass transition as cp late 90

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)


General questions

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?


Thank you for your attention

Thank you for your attention !

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