메뉴 건너뛰기




Volumn 79, Issue 4, 2009, Pages

Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations

Author keywords

[No Author keywords available]

Indexed keywords

CASIMIR FORCE; CRITICAL CASIMIR FORCES; CRITICAL POINTS; CRITICAL TEMPERATURES; EXPERIMENTAL DATA; FILM GEOMETRY; FREE-ENERGY DIFFERENCE; INTEGRATION SCHEME; MONTE CARLO SIMULATION; THEORETICAL RESULT; THERMAL FLUCTUATIONS; THREE DIMENSIONAL SYSTEMS; UNIVERSAL SCALING; UNIVERSALITY CLASS; WETTING FILMS;

EID: 66049117848     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.041142     Document Type: Article
Times cited : (145)

References (67)
  • 2
    • 0001315226 scopus 로고
    • edited by C. Domb and J. L. Lebowitz (Academic, New York
    • M. N. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1983), Vol. 8, p. 149
    • (1983) Phase Transitions and Critical Phenomena , vol.8 , pp. 149
    • Barber, M.N.1
  • 4
    • 66049147805 scopus 로고    scopus 로고
    • Earlier observations of flocculation in colloidal suspensions close to the critical demixing point of a binary liquid mixture suggested the action of critical Casimir forces; however, an unquestionable conclusion could not be reached.
    • Earlier observations of flocculation in colloidal suspensions close to the critical demixing point of a binary liquid mixture suggested the action of critical Casimir forces; however, an unquestionable conclusion could not be reached.
  • 5
  • 7
    • 4243588547 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.83.1187;
    • R. Garcia and M. H. W. Chan, Phys. Rev. Lett. 83, 1187 (1999) 10.1103/PhysRevLett.83.1187
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 1187
    • Garcia, R.1    Chan, M.H.W.2
  • 9
  • 10
    • 29444437932 scopus 로고
    • 10.1103/PhysRevA.46.1886;
    • M. Krech and S. Dietrich, Phys. Rev. A 46, 1886 (1992) 10.1103/PhysRevA.46.1886
    • (1992) Phys. Rev. A , vol.46 , pp. 1886
    • Krech, M.1    Dietrich, S.2
  • 11
    • 18344392480 scopus 로고
    • 10.1103/PhysRevA.46.1922
    • M. Krech and S. Dietrich, Phys. Rev. A 46, 1922 (1992). 10.1103/PhysRevA.46.1922
    • (1992) Phys. Rev. A , vol.46 , pp. 1922
    • Krech, M.1    Dietrich, S.2
  • 12
    • 29444437932 scopus 로고
    • 10.1103/PhysRevA.46.1886
    • M. Krech and S. Dietrich, Phys. Rev. A 46, 1886 (1992). 10.1103/PhysRevA.46.1886
    • (1992) Phys. Rev. A , vol.46 , pp. 1886
    • Krech, M.1    Dietrich, S.2
  • 14
    • 35148849161 scopus 로고    scopus 로고
    • 10.1016/j.physa.2007.07.072
    • S. Rafaã, D. Bonn, and J. Meunier, Physica A 386, 31 (2007). 10.1016/j.physa.2007.07.072
    • (2007) Physica A , vol.386 , pp. 31
    • Rafaã, S.1    Bonn, D.2    Meunier, J.3
  • 15
    • 0037170195 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.88.086101
    • R. Garcia and M. H. W. Chan, Phys. Rev. Lett. 88, 086101 (2002). 10.1103/PhysRevLett.88.086101
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 086101
    • Garcia, R.1    Chan, M.H.W.2
  • 19
    • 4243394515 scopus 로고    scopus 로고
    • 10.1088/0953-8984/11/37/201
    • M. Krech, J. Phys.: Condens. Matter 11, R391 (1999). 10.1088/0953-8984/ 11/37/201
    • (1999) J. Phys.: Condens. Matter , vol.11 , pp. 391
    • Krech, M.1
  • 21
    • 0003130040 scopus 로고
    • edited by C. Domb and J. L. Lebowitz (Academic, London
    • H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1986), Vol. 10, p. 76.
    • (1986) Phase Transitions and Critical Phenomena , vol.10 , pp. 76
    • Diehl, H.W.1
  • 22
    • 42749102590 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.69.046119
    • D. Dantchev and M. Krech, Phys. Rev. E 69, 046119 (2004). 10.1103/PhysRevE.69.046119
    • (2004) Phys. Rev. e , vol.69 , pp. 046119
    • Dantchev, D.1    Krech, M.2
  • 23
    • 35948966033 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.99.185301
    • A. Hucht, Phys. Rev. Lett. 99, 185301 (2007). 10.1103/PhysRevLett.99. 185301
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 185301
    • Hucht, A.1
  • 24
    • 4243242489 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.81.4911
    • Z. Borjan and P. J. Upton, Phys. Rev. Lett. 81, 4911 (1998) and references therein. 10.1103/PhysRevLett.81.4911
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 4911
    • Borjan, Z.1    Upton, P.J.2
  • 25
    • 52649088319 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.101.125702
    • Z. Borjan and P. J. Upton, Phys. Rev. Lett. 101, 125702 (2008). 10.1103/PhysRevLett.101.125702
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 125702
    • Borjan, Z.1    Upton, P.J.2
  • 27
    • 41449114240 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.77.115409
    • D. Grüneberg and H. W. Diehl, Phys. Rev. B 77, 115409 (2008). 10.1103/PhysRevB.77.115409
    • (2008) Phys. Rev. B , vol.77 , pp. 115409
    • Grüneberg, D.1    Diehl, H.W.2
  • 28
    • 66049111164 scopus 로고    scopus 로고
    • An analytic expression for the Casimir scaling function of the 2D Ising model with periodic boundary conditions has been recently presented by
    • An analytic expression for the Casimir scaling function of the 2D Ising model with periodic boundary conditions has been recently presented by J. Rudnick during the KITP program on the theory and practice of fluctuation-induced interactions at the University of California, Santa Barbara, http://online.itp.ucsb.edu/online/fluctuate08/rudnick/
    • Rudnick, J.1
  • 29
    • 0000590452 scopus 로고
    • 10.1103/PhysRevB.49.8842
    • R. Evans and J. Stecki, Phys. Rev. B 49, 8842 (1994). 10.1103/PhysRevB.49.8842
    • (1994) Phys. Rev. B , vol.49 , pp. 8842
    • Evans, R.1    Stecki, J.2
  • 30
    • 0001350894 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.56.1642
    • M. Krech, Phys. Rev. E 56, 1642 (1997). 10.1103/PhysRevE.56.1642
    • (1997) Phys. Rev. e , vol.56 , pp. 1642
    • Krech, M.1
  • 31
    • 43949158411 scopus 로고
    • 10.1016/0378-4371(94)90195-3
    • C. Ruge, P. Zhu, and F. Wagner, Physica A 209, 431 (1994). 10.1016/0378-4371(94)90195-3
    • (1994) Physica A , vol.209 , pp. 431
    • Ruge, C.1    Zhu, P.2    Wagner, F.3
  • 32
    • 43949165123 scopus 로고
    • 10.1016/0378-4371(93)90131-M
    • A. P. Gottlob and M. Hasenbusch, Physica A 201, 593 (1993). 10.1016/0378-4371(93)90131-M
    • (1993) Physica A , vol.201 , pp. 593
    • Gottlob, A.P.1    Hasenbusch, M.2
  • 33
    • 0036792138 scopus 로고    scopus 로고
    • 10.1016/S0370-1573(02)00219-3
    • A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002). 10.1016/S0370-1573(02)00219-3
    • (2002) Phys. Rep. , vol.368 , pp. 549
    • Pelissetto, A.1    Vicari, E.2
  • 34
    • 51149100133 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.101.100601
    • F. M. Schmidt and H. W. Diehl, Phys. Rev. Lett. 101, 100601 (2008). 10.1103/PhysRevLett.101.100601
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 100601
    • Schmidt, F.M.1    Diehl, H.W.2
  • 35
    • 19644401022 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.93.155302
    • R. Zandi, J. Rudnick, and M. Kardar, Phys. Rev. Lett. 93, 155302 (2004). The correct numerical value of the scaling function of the force at very low temperatures, following from the analytic expression in Eq. 11 therein, is a 0.13 instead of the indicated a 0.15. As also pointed out in Ref., this results in a larger difference between theory and the experimental data, as compared to the one presented therein. 10.1103/PhysRevLett.93.155302
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 155302
    • Zandi, R.1    Rudnick, J.2    Kardar, M.3
  • 38
    • 0001823923 scopus 로고
    • 10.1103/PhysRevB.39.467;
    • K. K. Mon, Phys. Rev. B 39, 467 (1989) 10.1103/PhysRevB.39.467
    • (1989) Phys. Rev. B , vol.39 , pp. 467
    • Mon, K.K.1
  • 39
    • 16444386799 scopus 로고
    • 10.1103/PhysRevB.42.675
    • K. K. Mon and K. Binder, Phys. Rev. B 42, 675 (1990). 10.1103/PhysRevB.42.675
    • (1990) Phys. Rev. B , vol.42 , pp. 675
    • Mon, K.K.1    Binder, K.2
  • 41
    • 0000227719 scopus 로고
    • 10.1088/0305-4470/16/9/003
    • V. Privman and M. E. Fisher, J. Phys. A 16, L295 (1983). 10.1088/0305-4470/16/9/003
    • (1983) J. Phys. A , vol.16 , pp. 295
    • Privman, V.1    Fisher, M.E.2
  • 42
    • 0040303287 scopus 로고
    • 10.1103/PhysRevB.31.3069
    • J. M. Luck, Phys. Rev. B 31, 3069 (1985). 10.1103/PhysRevB.31.3069
    • (1985) Phys. Rev. B , vol.31 , pp. 3069
    • Luck, J.M.1
  • 46
    • 0003695062 scopus 로고
    • 10.1103/PhysRevB.48.15807
    • W. Janke and K. Nather, Phys. Rev. B 48, 15807 (1993). 10.1103/PhysRevB.48.15807
    • (1993) Phys. Rev. B , vol.48 , pp. 15807
    • Janke, W.1    Nather, K.2
  • 49
  • 51
    • 0001152982 scopus 로고
    • 10.1103/PhysRevB.32.5932
    • W. Y. Tam and G. Ahlers, Phys. Rev. B 32, 5932 (1985). 10.1103/PhysRevB.32.5932
    • (1985) Phys. Rev. B , vol.32 , pp. 5932
    • Tam, W.Y.1    Ahlers, G.2
  • 52
    • 66049128086 scopus 로고    scopus 로고
    • The experimental value 1.2 Ã used in Ref. is not the correct one for the comparison presented therein. The correct comparison of the experimental data with the mean-field analytical prediction and with the results of Monte Carlo simulations is presented here and in Refs..
    • The experimental value 1.2 Ã used in Ref. is not the correct one for the comparison presented therein. The correct comparison of the experimental data with the mean-field analytical prediction and with the results of Monte Carlo simulations is presented here and in Refs..
  • 54
    • 0000640354 scopus 로고
    • 10.1103/PhysRevLett.64.439
    • A. O. Parry and R. Evans, Phys. Rev. Lett. 64, 439 (1990). 10.1103/PhysRevLett.64.439
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 439
    • Parry, A.O.1    Evans, R.2
  • 55
    • 66049088759 scopus 로고    scopus 로고
    • In the experiment, the ratio Î of the distance between the plate and the surface of the sphere to the radius of the latter is in the range 0.05â€"0.35. This allows a comparison with the theoretical predictions based on the Derjaguin approximation, which is increasingly accurate as Π↠0.
    • In the experiment, the ratio Î of the distance between the plate and the surface of the sphere to the radius of the latter is in the range 0.05â€"0.35. This allows a comparison with the theoretical predictions based on the Derjaguin approximation, which is increasingly accurate as Π↠0.
  • 56
    • 66049102123 scopus 로고    scopus 로고
    • This relation between Ï ++ (MFT) (x) and Ï +â (MFT) (x) has seemingly been overlooked in the literature even though it follows after some algebra from the analytic expressions of the scaling functions reported in Ref.. In particular it also follows that Ï ++ (MFT) has a minimum for x= x min (MFT) =14.05, whereas Ï +â (MFT) has a maximum for x=â 2 x min (MFT) ≠28.1 (which improves the estimates reported in the caption of Fig. 1 in Ref.)
    • This relation between Ï ++ (MFT) (x) and Ï +â (MFT) (x) has seemingly been overlooked in the literature even though it follows after some algebra from the analytic expressions of the scaling functions reported in Ref.. In particular it also follows that Ï ++ (MFT) has a minimum for x= x min (MFT) =14.05, whereas Ï +â (MFT) has a maximum for x=â 2 x min (MFT) ≠28.1 (which improves the estimates reported in the caption of Fig. 1 in Ref.).
  • 59
    • 0000836183 scopus 로고
    • 10.1088/0953-8984/2/46/001
    • R. Evans, J. Phys.: Condens. Matter 2, 8989 (1990). 10.1088/0953-8984/2/ 46/001
    • (1990) J. Phys.: Condens. Matter , vol.2 , pp. 8989
    • Evans, R.1
  • 60
    • 50349096678 scopus 로고    scopus 로고
    • 10.1146/annurev.matsci.38.060407.130302
    • K. Binder, Annu. Rev. Mater. Res. 38, 123 (2008). 10.1146/annurev.matsci. 38.060407.130302
    • (2008) Annu. Rev. Mater. Res. , vol.38 , pp. 123
    • Binder, K.1
  • 61
    • 0006226888 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.53.4414
    • M. Krech and D. P. Landau, Phys. Rev. E 53, 4414 (1996). 10.1103/PhysRevE.53.4414
    • (1996) Phys. Rev. e , vol.53 , pp. 4414
    • Krech, M.1    Landau, D.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.