DOI: 10.1126/science.267.5206.1935. A Topographic View of Supercooled Liquids and Glass Formation

A Topographic View of Supercooled Liquids and Glass Formation

10.1126/science.267.5206.1935

Crossref journal-article

American Association for the Advancement of Science (AAAS)

Science (221)

Abstract

Various static and dynamic phenomena displayed by glass-forming liquids, particularly those near the so-called "fragile" limit, emerge as manifestations of the multidimensional complex topography of the collective potential energy function. These include non-Arrhenius viscosity and relaxation times, bifurcation between the α- and β-relaxation processes, and a breakdown of the Stokes-Einstein relation for self-diffusion. This multidimensional viewpoint also produces an extension of the venerable Lindemann melting criterion and provides a critical evaluation of the popular "ideal glass state" concept.

Bibliography

Stillinger, F. H. (1995). A Topographic View of Supercooled Liquids and Glass Formation. Science, 267(5206), 1935â1939.

Authors 1

Frank H. Stillinger (first)

References 26 Referenced 1,295

Angell, C. A., Relaxations in Complex Systems: 1 (1985). / Relaxations in Complex Systems (1985)
BERNAL, J.D., GEOMETRICAL APPROACH TO THE STRUCTURE OF LIQUIDS, NATURE 183: 141 (1959). (10.1038/183141a0) / NATURE (1959)
BOHMER, R, NONEXPONENTIAL RELAXATIONS IN STRONG AND FRAGILE GLASS FORMERS, JOURNAL OF CHEMICAL PHYSICS 99: 4201 (1993). (10.1063/1.466117) / JOURNAL OF CHEMICAL PHYSICS (1993)
CICERONE, M.T., HOW DO MOLECULES MOVE NEAR T-G - MOLECULAR ROTATION OF 6 PROBES IN O-TERPHENYL ACROSS 14 DECADES IN TIME, JOURNAL OF CHEMICAL PHYSICS 102: 471 (1995). (10.1063/1.469425) / JOURNAL OF CHEMICAL PHYSICS (1995)
CICERONE, M.T., PHOTOBLEACHING TECHNIQUE FOR MEASURING ULTRASLOW REORIENTATION NEAR AND BELOW THE GLASS-TRANSITION - TETRACENE IN O-TERPHENYL, JOURNAL OF PHYSICAL CHEMISTRY 97: 10489 (1993). (10.1021/j100142a037) / JOURNAL OF PHYSICAL CHEMISTRY (1993)
EYRING, H, SIGNIFICANT STRUCTURES IN THE LIQUID STATE .1., PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 44: 683 (1958). / PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (1958)
FUJARA, F, TRANSLATIONAL AND ROTATIONAL DIFFUSION IN SUPERCOOLED ORTHOTERPHENYL CLOSE TO THE GLASS-TRANSITION, ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER 88: 195 (1992). (10.1007/BF01323572) / ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER (1992)
GOLDSTEIN, M, VISCOUS LIQUIDS AND GLASS TRANSITION - A POTENTIAL ENERGY BARRIER PICTURE, JOURNAL OF CHEMICAL PHYSICS 51: 3728 (1969). (10.1063/1.1672587) / JOURNAL OF CHEMICAL PHYSICS (1969)
GOLDSTEIN, M, VISCOUS-LIQUIDS AND GLASS-TRANSITION .7. MOLECULAR MECHANISMS FOR A THERMODYNAMIC 2ND-ORDER TRANSITION, JOURNAL OF CHEMICAL PHYSICS 67: 2246 (1977). (10.1063/1.435058) / JOURNAL OF CHEMICAL PHYSICS (1977)
HOARE, M.R., ADV CHEM PHYS 40: 49 (1979). (10.1002/9780470142592.ch2) / ADV CHEM PHYS (1979)
JACKLE, J, MODELS OF THE GLASS-TRANSITION, REPORTS ON PROGRESS IN PHYSICS 49: 171 (1986). (10.1088/0034-4885/49/2/002) / REPORTS ON PROGRESS IN PHYSICS (1986)
JOHARI, G.P., VISCOUS LIQUIDS AND GLASS TRANSITION .2. SECONDARY RELAXATIONS IN GLASSES OF RIGID MOLECULES, JOURNAL OF CHEMICAL PHYSICS 53: 2372 (1970). (10.1063/1.1674335) / JOURNAL OF CHEMICAL PHYSICS (1970)
KAUZMANN, W, THE NATURE OF THE GLASSY STATE AND THE BEHAVIOR OF LIQUIDS AT LOW TEMPERATURES, CHEMICAL REVIEWS 43: 219 (1948). (10.1021/cr60135a002) / CHEMICAL REVIEWS (1948)
KIND, R, DEUTERON-MAGNETIC-RESONANCE STUDY OF THE CLUSTER FORMATION IN THE LIQUID AND SUPERCOOLED-LIQUID STATE OF 2-CYCLOOCTYLAMINO-5-NITROPYRIDINE, PHYSICAL REVIEW B 45: 7697 (1992). / PHYSICAL REVIEW B (1992)
LAVIOLETTE, R.A., MULTIDIMENSIONAL GEOMETRIC ASPECTS OF THE SOLID LIQUID TRANSITION IN SIMPLE SUBSTANCES, JOURNAL OF CHEMICAL PHYSICS 83: 4079 (1985). (10.1063/1.449826) / JOURNAL OF CHEMICAL PHYSICS (1985)
LINDEMANN, F.A., The calculation of molecular natural frequencies, PHYSIKALISCHE ZEITSCHRIFT 11: 609 (1910). / PHYSIKALISCHE ZEITSCHRIFT (1910)
LOWEN, H, PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS 237: 249 (1994). / PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (1994)
MONTROLL, E.W., ON LEVY (OR STABLE) DISTRIBUTIONS AND THE WILLIAMS-WATTS MODEL OF DIELECTRIC-RELAXATION, JOURNAL OF STATISTICAL PHYSICS 34: 129 (1984). (10.1007/BF01770352) / JOURNAL OF STATISTICAL PHYSICS (1984)
Ngai, K. L., Comments on Solid-State Physics 9: 127 (1979). / Comments on Solid-State Physics (1979)
Ngai, K. L., Comments on Solid-State Physics 9: 141 (1979). / Comments on Solid-State Physics (1979)
SCHERER, G.W., EDITORIAL COMMENTS ON A PAPER BY FULCHER,GORDON,S., JOURNAL OF THE AMERICAN CERAMIC SOCIETY 75: 1060 (1992). (10.1111/j.1151-2916.1992.tb05537.x) / JOURNAL OF THE AMERICAN CERAMIC SOCIETY (1992)
STILLINGER, F.H., SUPERCOOLED LIQUIDS, GLASS TRANSITIONS, AND THE KAUZMANN PARADOX, JOURNAL OF CHEMICAL PHYSICS 88: 7818 (1988). (10.1063/1.454295) / JOURNAL OF CHEMICAL PHYSICS (1988)
STILLINGER, F.H., HIDDEN STRUCTURE IN LIQUIDS, PHYSICAL REVIEW A 25: 978 (1982). (10.1103/PhysRevA.25.978) / PHYSICAL REVIEW A (1982)
STILLINGER, F.H., RELAXATION BEHAVIOR IN ATOMIC AND MOLECULAR GLASSES, PHYSICAL REVIEW B 41: 2409 (1990). (10.1103/PhysRevB.41.2409) / PHYSICAL REVIEW B (1990)
STILLINGER, F.H., TRANSLATION-ROTATION PARADOX FOR DIFFUSION IN FRAGILE GLASS-FORMING LIQUIDS, PHYSICAL REVIEW E 50: 2064 (1994). (10.1103/PhysRevE.50.2064) / PHYSICAL REVIEW E (1994)
10.1126/science.225.4666.983

Dates

Type	When
Created	18 years, 9 months ago (Oct. 27, 2006, 2:19 p.m.)
Deposited	1 year, 7 months ago (Jan. 12, 2024, 5:59 p.m.)
Indexed	2 weeks, 3 days ago (Aug. 6, 2025, 8:43 a.m.)
Issued	30 years, 4 months ago (March 31, 1995)
Published	30 years, 4 months ago (March 31, 1995)
Published Print	30 years, 4 months ago (March 31, 1995)

Funders 0

None

BibTeX

@article{Stillinger_1995, title={A Topographic View of Supercooled Liquids and Glass Formation}, volume={267}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.267.5206.1935}, DOI={10.1126/science.267.5206.1935}, number={5206}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Stillinger, Frank H.}, year={1995}, month=mar, pages={1935–1939} }

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