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β-relaxation in glass forming systems

Wen Ping

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β-relaxation in glass forming systems

Wen Ping
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  • As soon as crystallization is suspended at constant pressure, cooling liquids turn inevitably into rigid amorphous solids, i.e. glasses. The process is a universal phenomenon in nature, termed as glass transition involving many fundamental problems in many-body interaction system and material science. Among the decades research on the glass transition, the universality of β-relaxation, its mechanism and its effects on the understanding of liquids and glasses have been studied argumentatively. In this paper we review the research progress of β-relaxation and also try to point out the tendency of β-relaxation study in future.
      Corresponding author: Wen Ping, pwen@iphy.ac.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 50671118, 51071170, 11274353).
    [1]

    Iida T 1988 The Physical Properties of Liquid Metals (Oxford: Clarendon Press)

    [2]

    Dougherty R C, Noward L N 1998 J. Chem. Phys. 109 7379

    [3]

    Stillinger F H 1980 Science 209 451

    [4]

    Keutsch F N, Saykally R J 2001 PNAS 98 10533

    [5]

    Angell C A 2008 Science 319 582

    [6]

    Jäckle J 1986 Rep. Prog. Phys. 49 171

    [7]

    Dyre J C 2006 Rev. Mod. Phys. 78 953

    [8]

    Cohen M H, Turnbull D 1959 J. Chem. Phys. 31 1164

    [9]

    Dyre J C, Olsen N B, Christensen T 1996 Phys. Rev. B 53 2171

    [10]

    Adam G, Gibbs J H 1965 J. Chem. Phys. 43 139

    [11]

    Barra J L T, Goetze W, Latz A 1989 J. Phys. Condens. Matter 1 7163

    [12]

    Boehmer R, Ngai K L, Angell C A, Plazek D J 1993 J. Chem. Phys. 99 4201

    [13]

    Sastry S, Debenedett P G, Stillinger F H 1998 Nature 393 554

    [14]

    Berthier L, Biroli G 2011 Rev. Mod. Phys. 83 587

    [15]

    Martinez L M, Angell C A 2001 Nature 410 663

    [16]

    Donth E 2001 The Glass Transition (Berlin, Heidelberg: Springe-Verlag)

    [17]

    Johari G P, Goldstein M 1970 J. Chem. Phys. 53 2372

    [18]

    Ngai K L 2011 Relaxation and Diffusion in Complex Systems (New York, Dordrecht, Heidelberg, London: Springer)

    [19]

    Johari G P 1976 Ann. N.Y. Acad. Sci. 279 117

    [20]

    Tanaka H 2004 Phys. Rev. E 69 021502

    [21]

    Lunkenheimer P, Schneider U, Brand R, Loidl A 2000 Contemp. Phys. 41 15

    [22]

    Johari G P 2002 J. Non-Cryst. Solids 307-310 317

    [23]

    Tarjus G, Kivelson D 2000 J. Chem. Phys. 112 368

    [24]

    Ngai K L 1979 Comments Solid State Phys. 9 127

    [25]

    Ngai K L 2003 J. Phys. Condens. Matter 15 S1107

    [26]

    Schneider U, Brand R, Lunkenheimer P, Loidl A 2000 Phys. Rev. Lett. 84 5560

    [27]

    Ngai K L, Lunkenheimer P, Leoen C, Schneider U, Brand R, Loidl A 2001 J. Chem. Phys. 115 1405

    [28]

    Doeß A, Paluch M, Sillescu H, Hinze G 2002 Phys. Rev. Lett. 88 095701

    [29]

    Casalini R, Roland C M 2002 Phys. Rev. B 66 180201

    [30]

    Dixon P K, Wu L, Nagel S R, Williams B D, Carini J P 1990 Phys. Rev. Lett. 65 1108

    [31]

    Hensel-Bielowka S, Paluch M 2002 Phys. Rev. Lett. 89 025704

    [32]

    Wen P, Zhao D Q, Pan M X, et al. 2004 Appl. Phys. Lett. 84 2790

    [33]

    Zhao Z F, Wen P, Shek C H, Wang W H 2007 Phys. Rev. B 75 174201

    [34]

    Zhao Z F, Wen P, Wang W H 2006 Appl. Phys. Lett. 89 071920

    [35]

    Wen P, Zhao Z F, Pan M X, Wang W H 2010 Phys. Status Solidi A 207 2693

    [36]

    Yu H B, Wang W H, Bai H Y, Wu Y, Chen M W 2010 Phys. Rev. B 81 220201

    [37]

    Yu H B, Wang Z, Wang W H, Bai H Y 2012 J. Non-Cryst. Solids 358 869

    [38]

    Wang Z, Yu H B, Wen P, Bai H Y, Wang W H 2011 J. Phys.-Condens. Matter 23 142202

    [39]

    Wang W H 2011 J. Appl. Phys. 110 053521

    [40]

    Yu H B, Shen X, Wang Z, Gu L, Wang W H, Bai H Y 2012 Phys. Rev. Lett. 108 015504

    [41]

    Yu H B, et al. 2014 National Sci. Rev. 0 1

    [42]

    Bartsch A, Raetzke K, Meyer A, Faupel F 2010 Phys. Rev. Lett. 104 195901

    [43]

    Yu H B, Samwer K, Wu Y, Wang W H 2012 Phys. Rev. Lett. 109 095508

    [44]

    Debenedetti P G, Stillinger F H 2001 Nature 410 259

    [45]

    Williams G, Watts D C 1971 Trans. Faraday Soc. 67 1971

    [46]

    Goldstein M 1975 J. Phys. Paris. Colloq. C2 C2

    [47]

    Johari G P 1983 Plastic Deformation of Amorphous and Semi-Crystalline Materials (France, Les Ullis: Les Edition de Physique)

    [48]

    Vogel M, Roessler E 2000 J. Phys. Chem. B 104 4285

    [49]

    Teixeira J, Bellissent-Funel M C, Chen S H, Dianoux A J 1985 Phys. Rev. A 31 1913

    [50]

    Ke H B, Wen P, Wang W H 2012 AIP Adv. 2 041404

  • [1]

    Iida T 1988 The Physical Properties of Liquid Metals (Oxford: Clarendon Press)

    [2]

    Dougherty R C, Noward L N 1998 J. Chem. Phys. 109 7379

    [3]

    Stillinger F H 1980 Science 209 451

    [4]

    Keutsch F N, Saykally R J 2001 PNAS 98 10533

    [5]

    Angell C A 2008 Science 319 582

    [6]

    Jäckle J 1986 Rep. Prog. Phys. 49 171

    [7]

    Dyre J C 2006 Rev. Mod. Phys. 78 953

    [8]

    Cohen M H, Turnbull D 1959 J. Chem. Phys. 31 1164

    [9]

    Dyre J C, Olsen N B, Christensen T 1996 Phys. Rev. B 53 2171

    [10]

    Adam G, Gibbs J H 1965 J. Chem. Phys. 43 139

    [11]

    Barra J L T, Goetze W, Latz A 1989 J. Phys. Condens. Matter 1 7163

    [12]

    Boehmer R, Ngai K L, Angell C A, Plazek D J 1993 J. Chem. Phys. 99 4201

    [13]

    Sastry S, Debenedett P G, Stillinger F H 1998 Nature 393 554

    [14]

    Berthier L, Biroli G 2011 Rev. Mod. Phys. 83 587

    [15]

    Martinez L M, Angell C A 2001 Nature 410 663

    [16]

    Donth E 2001 The Glass Transition (Berlin, Heidelberg: Springe-Verlag)

    [17]

    Johari G P, Goldstein M 1970 J. Chem. Phys. 53 2372

    [18]

    Ngai K L 2011 Relaxation and Diffusion in Complex Systems (New York, Dordrecht, Heidelberg, London: Springer)

    [19]

    Johari G P 1976 Ann. N.Y. Acad. Sci. 279 117

    [20]

    Tanaka H 2004 Phys. Rev. E 69 021502

    [21]

    Lunkenheimer P, Schneider U, Brand R, Loidl A 2000 Contemp. Phys. 41 15

    [22]

    Johari G P 2002 J. Non-Cryst. Solids 307-310 317

    [23]

    Tarjus G, Kivelson D 2000 J. Chem. Phys. 112 368

    [24]

    Ngai K L 1979 Comments Solid State Phys. 9 127

    [25]

    Ngai K L 2003 J. Phys. Condens. Matter 15 S1107

    [26]

    Schneider U, Brand R, Lunkenheimer P, Loidl A 2000 Phys. Rev. Lett. 84 5560

    [27]

    Ngai K L, Lunkenheimer P, Leoen C, Schneider U, Brand R, Loidl A 2001 J. Chem. Phys. 115 1405

    [28]

    Doeß A, Paluch M, Sillescu H, Hinze G 2002 Phys. Rev. Lett. 88 095701

    [29]

    Casalini R, Roland C M 2002 Phys. Rev. B 66 180201

    [30]

    Dixon P K, Wu L, Nagel S R, Williams B D, Carini J P 1990 Phys. Rev. Lett. 65 1108

    [31]

    Hensel-Bielowka S, Paluch M 2002 Phys. Rev. Lett. 89 025704

    [32]

    Wen P, Zhao D Q, Pan M X, et al. 2004 Appl. Phys. Lett. 84 2790

    [33]

    Zhao Z F, Wen P, Shek C H, Wang W H 2007 Phys. Rev. B 75 174201

    [34]

    Zhao Z F, Wen P, Wang W H 2006 Appl. Phys. Lett. 89 071920

    [35]

    Wen P, Zhao Z F, Pan M X, Wang W H 2010 Phys. Status Solidi A 207 2693

    [36]

    Yu H B, Wang W H, Bai H Y, Wu Y, Chen M W 2010 Phys. Rev. B 81 220201

    [37]

    Yu H B, Wang Z, Wang W H, Bai H Y 2012 J. Non-Cryst. Solids 358 869

    [38]

    Wang Z, Yu H B, Wen P, Bai H Y, Wang W H 2011 J. Phys.-Condens. Matter 23 142202

    [39]

    Wang W H 2011 J. Appl. Phys. 110 053521

    [40]

    Yu H B, Shen X, Wang Z, Gu L, Wang W H, Bai H Y 2012 Phys. Rev. Lett. 108 015504

    [41]

    Yu H B, et al. 2014 National Sci. Rev. 0 1

    [42]

    Bartsch A, Raetzke K, Meyer A, Faupel F 2010 Phys. Rev. Lett. 104 195901

    [43]

    Yu H B, Samwer K, Wu Y, Wang W H 2012 Phys. Rev. Lett. 109 095508

    [44]

    Debenedetti P G, Stillinger F H 2001 Nature 410 259

    [45]

    Williams G, Watts D C 1971 Trans. Faraday Soc. 67 1971

    [46]

    Goldstein M 1975 J. Phys. Paris. Colloq. C2 C2

    [47]

    Johari G P 1983 Plastic Deformation of Amorphous and Semi-Crystalline Materials (France, Les Ullis: Les Edition de Physique)

    [48]

    Vogel M, Roessler E 2000 J. Phys. Chem. B 104 4285

    [49]

    Teixeira J, Bellissent-Funel M C, Chen S H, Dianoux A J 1985 Phys. Rev. A 31 1913

    [50]

    Ke H B, Wen P, Wang W H 2012 AIP Adv. 2 041404

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Publishing process
  • Received Date:  02 June 2017
  • Accepted Date:  09 August 2017
  • Published Online:  05 September 2017

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