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Volumn 57, Issue 6, 1998, Pages 6677-6684

Crossover from [formula presented] critical to tricritical behavior of heat capacity at the smectic-[formula presented]–chiral-smectic-[formula presented] liquid-crystal transition

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EID: 0000587606     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.6677     Document Type: Article
Times cited : (34)

References (54)
  • 7
    • 0000016599 scopus 로고
    • Fiz. Tverd. Tela (Leningrad) 2, 2031 (1960) [, ]. SPSSA7
    • V. L. Ginsburg, Fiz. Tverd. Tela (Leningrad) 2, 2031 (1960) [Sov. Phys. Solid State 2, 1824 (1960)].SPSSA7
    • (1960) Sov. Phys. Solid State , vol.2 , pp. 1824
    • Ginsburg, V.L.1
  • 12
    • 0345976596 scopus 로고    scopus 로고
    • It was found that racemate of MHPOBC exhibits a non-Landau tricritical [formula presented] transition. See PLEEE8
    • It was found that racemate of MHPOBC exhibits a non-Landau tricritical Sm-A–Sm-C transition. See K. Ema, A. Takagi, and H. Yao, Phys. Rev. E 53, R3036 (1996); PLEEE8
    • (1996) Phys. Rev. E , vol.53
    • Ema, K.1    Takagi, A.2    Yao, H.3
  • 28
    • 85036221924 scopus 로고    scopus 로고
    • We note that the racemic mixture is an exceptional case. This is because Fisher renormalization depends on [formula presented] being large, and [formula presented] for racemates
    • We note that the racemic mixture is an exceptional case. This is because Fisher renormalization depends on d(ln Tc)/dX being large, and d(ln Tc)/dX=0 for racemates.
  • 38
    • 85036226134 scopus 로고    scopus 로고
    • Because of an insufficient calibration of the thermometer used just after the completion of the improved calorimeter, it was found that the temperature scale should be shifted by about 0.4 K in the results of Ref. 8
    • Because of an insufficient calibration of the thermometer used just after the completion of the improved calorimeter, it was found that the temperature scale should be shifted by about 0.4 K in the results of Ref. 8.
  • 42
    • 0001139945 scopus 로고
    • The theory in Ref. 33 has been applied for the [formula presented] transition in PLEEE8
    • The theory in Ref. 33 has been applied for the N–Sm-A transition in C. W. Garland, G. Nounesis, M. J. Young, and R. J. Birgeneau, Phys. Rev. E 47, 1918 (1993).PLEEE8
    • (1993) Phys. Rev. E , vol.47 , pp. 1918
    • Garland, C.W.1    Nounesis, G.2    Young, M.J.3    Birgeneau, R.J.4
  • 45
    • 3843125208 scopus 로고
    • [formula presented] is expected in the ε-expansion calculation to leading order ε. See , PRLTAO
    • D1+=D1- is expected in the ε-expansion calculation to leading order ε. See A. Aharony and G. Ahlers, Phys. Rev. Lett. 44, 782 (1980).PRLTAO
    • (1980) Phys. Rev. Lett. , vol.44 , pp. 782
    • Aharony, A.1    Ahlers, G.2
  • 46
    • 85036407153 scopus 로고    scopus 로고
    • The values of [formula presented] obtained in the ε expansion up to higher order and in the field theory are only slightly larger than unity for 3D [formula presented] universality class: 1.17 and 1.6, respectively. See V. Privman, P. C. Hohenberg, and A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1991), Vol. 14
    • The values of D1+/D1- obtained in the ε expansion up to higher order and in the field theory are only slightly larger than unity for 3D XY universality class: 1.17 and 1.6, respectively. See V. Privman, P. C. Hohenberg, and A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1991), Vol. 14.
  • 52
    • 85036177468 scopus 로고    scopus 로고
    • [formula presented] However, we found that the dependence of σ on τ yields only small effect and can be neglected practically in fitting the experimental data., To be precise, τ should be replaced by στ rather than [formula presented] where σ is determined in a consistent manner at each temperature. If [formula presented] then [formula presented] for all τ. For nonzero [formula presented] σ takes a value between [formula presented]
    • To be precise, τ should be replaced by στ rather than -2τ, where σ is determined in a consistent manner at each temperature. If v=0 then σ=-2 for all τ. For nonzero v, σ takes a value between -3 and -2. However, we found that the dependence of σ on τ yields only small effect and can be neglected practically in fitting the experimental data.
  • 53
    • 11544275571 scopus 로고
    • Also see, for instance, I. D. Lawrie, J. Phys. A 12, 919 (1979).JPHAC5
    • (1979) J. Phys. A , vol.12 , pp. 919
    • Lawrie, I.D.1
  • 54
    • 85036423944 scopus 로고    scopus 로고
    • We also tried fits by numerically differentiating [formula presented] by τ. The result was essentially the same
    • We also tried fits by numerically differentiating F(M) by τ. The result was essentially the same.


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