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Das R, Tah I, Karmakar S. Possible universal relation between short timeβ-relaxation and long timeα-relaxation in glass-forming liquids. J Chem Phys 2018; 149:024501. [DOI: 10.1063/1.5033555] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
Affiliation(s)
- Rajsekhar Das
- Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, 36/P, Gopanpally Village, Serilingampally Mandal, Ranga Reddy District, Hyderabad 500107, India
| | - Indrajit Tah
- Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, 36/P, Gopanpally Village, Serilingampally Mandal, Ranga Reddy District, Hyderabad 500107, India
| | - Smarajit Karmakar
- Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, 36/P, Gopanpally Village, Serilingampally Mandal, Ranga Reddy District, Hyderabad 500107, India
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Ngai KL, Habasaki J. An alternative explanation of the change in T-dependence of the effective Debye-Waller factor at Tc or TB. J Chem Phys 2014; 141:114502. [DOI: 10.1063/1.4895554] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Affiliation(s)
- K. L. Ngai
- Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
- CNR-IPCF, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
| | - J. Habasaki
- Tokyo Institute of Technology, Yokohama 226-8502, Japan
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Novikov VN, Schweizer KS, Sokolov AP. Coherent neutron scattering and collective dynamics on mesoscale. J Chem Phys 2013; 138:164508. [PMID: 23635158 DOI: 10.1063/1.4802771] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
By combining, and modestly extending, a variety of theoretical concepts for the dynamics of liquids in the supercooled regime, we formulate a simple analytic model for the temperature and wavevector dependent collective density fluctuation relaxation time that is measurable using coherent dynamic neutron scattering. Comparison with experiments on the ionic glass-forming liquid Ca-K-NO3 in the lightly supercooled regime suggests the model captures the key physics in both the local cage and mesoscopic regimes, including the unusual wavevector dependence of the collective structural relaxation time. The model is consistent with the idea that the decoupling between diffusion and viscosity is reflected in a different temperature dependence of the collective relaxation time at intermediate wavevectors and near the main (cage) peak of the static structure factor. More generally, our analysis provides support for the ideas that decoupling information and growing dynamic length scales can be at least qualitatively deduced by analyzing the collective relaxation time as a function of temperature and wavevector, and that there is a strong link between dynamic heterogeneity phenomena at the single and many particle level. Though very simple, the model can be applied to other systems, such as molecular liquids.
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Affiliation(s)
- V N Novikov
- Department of Chemistry and Joint Institute for Neutron Sciences, University of Tennessee, Knoxville, Tennessee 37996, USA.
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Aliotta F, Gapiński J, Pochylski M, Ponterio RC, Saija F, Vasi C. Collective acoustic modes in liquids: a comparison between the generalized-hydrodynamics and memory-function approaches. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:051202. [PMID: 22181402 DOI: 10.1103/physreve.84.051202] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2011] [Revised: 09/14/2011] [Indexed: 05/21/2023]
Abstract
The most familiar approaches used to describe the dynamical structure factor from adiabatic density fluctuations in liquids are based on generalized hydrodynamics and on the memory function, respectively. We show that, contrary to the common belief, the two approaches are not fully equivalent. In particular, models based on the memory function of a normalized damped oscillator fail in reproducing the correct experimental spectral profiles of systems close to the relaxation process. The discrepancy is due to misleading interpretation of the theoretical memory-function expressions, producing an unavoidable mixing of spectral contribution at different wave vectors when the theory is forced beyond its limits of validity.
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Affiliation(s)
- F Aliotta
- CNR-IPCF, Laboratorio di Tecniche Spettroscopiche, Messina, Italy.
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Halalay IC, Yang Y, Nelson KA. Testing of mode-coupling theory through impulsive stimulated thermal scattering. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/00411459508203944] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- I. C. Halalay
- a Department of Chemistry (Physics) , Massachusetts Institute of Technology , Cambridge , MA , 02139
- b General Motors R&D Center, Bldg. 1-2, Physical Chem. Department , 30500 Mound Rd., Warren , MI , 48090
| | - Yongwu Yang
- a Department of Chemistry (Physics) , Massachusetts Institute of Technology , Cambridge , MA , 02139
- b General Motors R&D Center, Bldg. 1-2, Physical Chem. Department , 30500 Mound Rd., Warren , MI , 48090
| | - Keith A. Nelson
- a Department of Chemistry (Physics) , Massachusetts Institute of Technology , Cambridge , MA , 02139
- b General Motors R&D Center, Bldg. 1-2, Physical Chem. Department , 30500 Mound Rd., Warren , MI , 48090
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Chong SH. Role of structural relaxations and vibrational excitations in the high-frequency dynamics of liquids and glasses. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 74:031205. [PMID: 17025616 DOI: 10.1103/physreve.74.031205] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/10/2006] [Indexed: 05/12/2023]
Abstract
We present theoretical investigation on the high-frequency collective dynamics in liquids and glasses at microscopic length scales and in the terahertz frequency region based on the mode-coupling theory for ideal liquid-glass transition. We focus on recently investigated issues from inelastic-x-ray-scattering and computer-simulation studies for dynamic structure factors and longitudinal and transversal current spectra: the anomalous dispersion of the high-frequency sound velocity and the nature of the low-frequency excitation called the boson peak. It will be discussed how the sound mode interferes with other low-lying modes present in the system. Thereby, we provide a systematic explanation of the anomalous sound-velocity dispersion in systems--ranging from high temperature liquid down to deep inside the glass state--in terms of the contributions from the structural-relaxation processes and from vibrational excitations called the anomalous-oscillation peak (AOP). A possibility of observing negative dispersion--the decrease of the sound velocity upon increase of the wave number--is argued when the sound-velocity dispersion is dominated by the contribution from the vibrational dynamics. We also show that the low-frequency excitation, observable in both of the glass-state longitudinal and transversal current spectra at the same resonance frequency, is the manifestation of the AOP. As a consequence of the presence of the AOP in the transversal current spectra, it is predicted that the transversal sound velocity also exhibits the anomalous dispersion. These results of the theory are demonstrated for a model of the Lennard-Jones system.
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Affiliation(s)
- Song-Ho Chong
- Institute for Molecular Science, Okazaki 444-8585, Japan.
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Monaco G, Crapanzano L, Bellissent R, Crichton W, Fioretto D, Mezouar M, Scarponi F, Verbeni R. Rubberlike dynamics in sulphur above the lambda-transition temperature. PHYSICAL REVIEW LETTERS 2005; 95:255502. [PMID: 16384467 DOI: 10.1103/physrevlett.95.255502] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2005] [Indexed: 05/05/2023]
Abstract
The high-frequency acoustic dynamics of sulfur across the liquid-liquid, lambda transition has been studied using inelastic x-ray scattering. The combination of these high-frequency data with lower frequency, literature data indicates that liquid sulfur develops, in the high-temperature, polymeric solution phase, some characteristic features of a rubber. In particular, entanglement coupling among polymeric chains plays a relevant role in the dynamics of this liquid phase.
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Affiliation(s)
- G Monaco
- European Synchrotron Radiation Facility, Boîte Postale 220, 38043 Grenoble, France
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Comez L, Fioretto D, Scarponi F, Monaco G. Density fluctuations in the intermediate glass-former glycerol: A Brillouin light scattering study. J Chem Phys 2003. [DOI: 10.1063/1.1601608] [Citation(s) in RCA: 52] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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9
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Aouadi A, Dreyfus C, Massot M, Pick RM, Berger T, Steffen W, Patkowski A, Alba-Simionesco C. Light scattering study of the liquid–glass transition of meta-toluidine. J Chem Phys 2000. [DOI: 10.1063/1.481642] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kartini E, Collins MF, Collier B, Mezei F, Svensson EC. Inelastic-neutron-scattering studies on glassy and liquid Ca0.4K0.6(NO3)1.4. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:6292-6300. [PMID: 9986645 DOI: 10.1103/physrevb.54.6292] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ma J, Berg M. Application of mode-coupling theory to solvation dynamics. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 54:2786-2796. [PMID: 9965393 DOI: 10.1103/physreve.54.2786] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Srinivasan A, Bermejo F, de Bernabé A. A Brillouin light-scattering investigation of the glass-transition in low molecular weight network glass-formers. Mol Phys 1996. [DOI: 10.1080/00268979600100971] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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14
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Phillips JC. Anomalous glass transitions and stretched exponential relaxation in fused salts and polar organic compounds. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:1732-1739. [PMID: 9964433 DOI: 10.1103/physreve.53.1732] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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15
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Yang Y, Nelson KA. Impulsive stimulated light scattering from glass‐forming liquids. I. Generalized hydrodynamics approach. J Chem Phys 1995. [DOI: 10.1063/1.470293] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Yang Y, Nelson KA. Impulsive stimulated light scattered from glass‐forming liquids. II. Salol relaxation dynamics, nonergodicity parameter, and testing of mode coupling theory. J Chem Phys 1995. [DOI: 10.1063/1.470294] [Citation(s) in RCA: 54] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kilian HG. Fluctuation dynamics and relaxation in glass-forming liquids polymer networks and low molecular weight systems. Colloid Polym Sci 1995. [DOI: 10.1007/bf00657632] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Yang Y, Nelson KA. Tc of the mode coupling theory evaluated from impulsive stimulated light scattering on salol. PHYSICAL REVIEW LETTERS 1995; 74:4883-4886. [PMID: 10058623 DOI: 10.1103/physrevlett.74.4883] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Du WM, Li G, Cummins HZ, Fuchs M, Toulouse J, Knauss LA. Light-scattering study of the liquid-glass transition in propylene carbonate. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:2192-2205. [PMID: 9961463 DOI: 10.1103/physreve.49.2192] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Grubbs WT, MacPhail RA. Dynamics in supercooled glycerol by high resolution stimulated Brillouin gain spectroscopy. J Chem Phys 1994. [DOI: 10.1063/1.466503] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kob W, Andersen HC. Kinetic lattice-gas model of cage effects in high-density liquids and a test of mode-coupling theory of the ideal-glass transition. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:4364-4377. [PMID: 9961118 DOI: 10.1103/physreve.48.4364] [Citation(s) in RCA: 69] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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22
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Li G, Du WM, Hernandez J, Cummins HZ. Locating the nonergodicity-parameter anomaly near the liquid-to-glass crossover temperature in CaKNO3 by Brillouin scattering. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:1192-1206. [PMID: 9960705 DOI: 10.1103/physreve.48.1192] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dreyfus C, Lebon MJ, Cummins HZ, Toulouse J, Bonello B, Pick RM. Brillouin scattering in salol: Determining Tc of the mode coupling theory. PHYSICAL REVIEW LETTERS 1992; 69:3666-3669. [PMID: 10046882 DOI: 10.1103/physrevlett.69.3666] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Fuchs M, Hofacker I, Latz A. Primary relaxation in a hard-sphere system. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:898-912. [PMID: 9907056 DOI: 10.1103/physreva.45.898] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Elmroth M, Börjesson L, Torell LM. Observation of a dynamic anomaly in the liquid-glass transformation range by Brillouin scattering. PHYSICAL REVIEW LETTERS 1992; 68:79-82. [PMID: 10045117 DOI: 10.1103/physrevlett.68.79] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Tao NJ, Li G, Cummins HZ. Brillouin-scattering study of the liquid-glass transition in CaKNO3: Mode-coupling analysis. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:686-696. [PMID: 10001108 DOI: 10.1103/physrevb.45.686] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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28
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Szamel G, Löwen H. Mode-coupling theory of the glass transition in colloidal systems. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:8215-8219. [PMID: 9905974 DOI: 10.1103/physreva.44.8215] [Citation(s) in RCA: 83] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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