메뉴 건너뛰기




Volumn 68, Issue 1 1, 2003, Pages 115051-115058

Possible resolution of the Kauzmann paradox in supercooled liquids

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLIZATION; ENTROPY; GLASS TRANSITION; NUCLEATION; SUPERCOOLING; TEMPERATURE; THERMODYNAMIC STABILITY; THERMODYNAMICS;

EID: 15444366700     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (93)

References (44)
  • 5
    • 33645082289 scopus 로고    scopus 로고
    • note
    • This feature is common to most of glass formers, except for atactic polymers that hardly crystallize due to quenched structural disorder (stereoirregularity).
  • 6
    • 0034624695 scopus 로고    scopus 로고
    • Here we consider usual glass formers that have higher entropy than the corresponding crystal and do not consider exceptional cases that exhibit "inverse melting phenomenon" [9]. The famous examples are those in helium isotopes and a polymeric substance [A.L. Greer, Nature (London) 404, 134 (2000)]. In these exceptional cases, the crystals having inverse melting behavior is not stable upon cooling. Thus, such crystals do not exist at T=0. This means that these examples are out of the scope of the Kauzmann paradox that assumes the very existence of the crystal at T=0.
    • (2000) Nature (London) , vol.404 , pp. 134
    • Greer, A.L.1
  • 7
    • 33947442893 scopus 로고
    • Washington, D.C.
    • W. Kauzmann, Chem. Rev. (Washington, D.C.) 43, 219 (1948).
    • (1948) Chem. Rev. , vol.43 , pp. 219
    • Kauzmann, W.1
  • 11
    • 33645082035 scopus 로고    scopus 로고
    • On the history of various ideas resolving the Kauzmann paradox, see Sec. 4.3.1 of Ref. [1] and also Refs. [9] and [10]
    • On the history of various ideas resolving the Kauzmann paradox, see Sec. 4.3.1 of Ref. [1] and also Refs. [9] and [10].
  • 12
    • 33645071394 scopus 로고    scopus 로고
    • note
    • α after a temperature change.
  • 24
    • 33645054886 scopus 로고    scopus 로고
    • note
    • 0 [23].
  • 27
    • 33645047230 scopus 로고    scopus 로고
    • Our physical picture on this issue is discussed in Ref. [28]
    • Our physical picture on this issue is discussed in Ref. [28].
  • 29
    • 0142072152 scopus 로고    scopus 로고
    • H. Tanaka, J. Phys.: Condens. Matter 10, L207 (1998); J. Chem. Phys. 111, 3163 (1999); 111, 3175 (1999).
    • (1999) J. Chem. Phys. , vol.111 , pp. 3163
  • 30
    • 19044373601 scopus 로고    scopus 로고
    • H. Tanaka, J. Phys.: Condens. Matter 10, L207 (1998); J. Chem. Phys. 111, 3163 (1999); 111, 3175 (1999).
    • (1999) J. Chem. Phys. , vol.111 , pp. 3175
  • 35
    • 0001255432 scopus 로고
    • J.H. Magill and D.J. Plazek, Nature (London) 207, 70 (1966); J. Chem. Phys. 46, 3757 (1967).
    • (1967) J. Chem. Phys. , vol.46 , pp. 3757
  • 36
    • 33645077140 scopus 로고    scopus 로고
    • note
    • B.
  • 41
    • 33645089497 scopus 로고    scopus 로고
    • note
    • B, which is strongly supported by the experimental studies on molecular [21,22] and metallic [20] glass formers.
  • 44
    • 33645093000 scopus 로고    scopus 로고
    • note
    • This problem is intrinsically important in uncrystallizable liquids such as atactic polymers, which is out of scope of our scenario. However, the absence of crystal means that there is no Kauzmann paradox in the strict sense. Nevertheless, it is fundamentally important to consider how the configurational entropy goes to zero for these systems.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.