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Volumn 2009, Issue 7, 2009, Pages

The thermodynamic Casimir effect in the neighbourhood of the λ-transition: A Monte Carlo study of an improved three-dimensional lattice model

Author keywords

Classical Monte Carlo simulations; Classical phase transitions (theory); Finite size scaling; Surface effects (theory)

Indexed keywords


EID: 71049172453     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/07/P07031     Document Type: Article
Times cited : (51)

References (41)
  • 2
    • 67650786317 scopus 로고    scopus 로고
    • The Casimir effect: From quantum to critical fluctuations
    • Gambassi A 2009 The Casimir effect: From quantum to critical fluctuations J. Phys.: Conf. Ser. 161 012037
    • (2009) J. Phys.: Conf. Ser. , vol.161 , pp. 012037
    • Gambassi, A.1
  • 3
    • 0001898814 scopus 로고
    • The renormalization group and the ε-expansion
    • Wilson K G and Kogut J 1974 The renormalization group and the ε-expansion Phys. Rep. C 12 75
    • (1974) Phys. Rep. C , vol.12 , pp. 75
    • Wilson, K.G.1    Kogut, J.2
  • 4
    • 35949031669 scopus 로고
    • The renormalization group in the theory of critical behavior
    • Fisher M E 1974 The renormalization group in the theory of critical behavior Rev. Mod. Phys. 46 597
    • (1974) Rev. Mod. Phys. , vol.46 , pp. 597
    • Fisher, M.E.1
  • 5
    • 0032393880 scopus 로고    scopus 로고
    • Renormalization group theory: Its basis and formulation in statistical physics
    • Fisher M E 1998 Renormalization group theory: its basis and formulation in statistical physics Rev. Mod. Phys. 70 653
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 653
    • Fisher, M.E.1
  • 6
    • 0036792138 scopus 로고    scopus 로고
    • Critical phenomena and renormalization-group theory
    • [arXiv:cond-mat/0012164]
    • Pelissetto A and Vicari E 2002 Critical phenomena and renormalization-group theory Phys. Rep. 368 549 [arXiv:cond-mat/0012164]
    • (2002) Phys. Rep. , vol.368 , pp. 549
    • Pelissetto, A.1    Vicari, E.2
  • 7
    • 33846400070 scopus 로고    scopus 로고
    • Critical phenomena in microgravity: Past, present, and future
    • Barmatz M, Hahn I, Lipa J A and Duncan R V 2007 Critical phenomena in microgravity: past, present, and future Rev. Mod. Phys. 79 1
    • (2007) Rev. Mod. Phys. , vol.79 , pp. 1
    • Barmatz, M.1    Hahn, I.2    Lipa, J.A.3    Duncan, R.V.4
  • 8
    • 0001315226 scopus 로고
    • Finite-size scaling
    • ed C Domb and J L Lebowitz (New York: Academic)
    • Barber M N 1983 Finite-size scaling Phase Transitions and Critical Phenomena vol 8 ed C Domb and J L Lebowitz (New York: Academic)
    • (1983) Phase Transitions and Critical Phenomena , vol.8
    • Barber, M.N.1
  • 11
    • 33646668033 scopus 로고
    • Ordering, metastability and phase transitions in two-dimensional systems
    • Kosterlitz J M and Thouless D J 1973 Ordering, metastability and phase transitions in two-dimensional systems J. Phys. C: Solid State Phys. 6 1181
    • (1973) J. Phys. C: Solid State Phys. , vol.6 , pp. 1181
    • Kosterlitz, J.M.1    Thouless, D.J.2
  • 12
    • 36149076140 scopus 로고
    • The critical properties of the two-dimensional XY model
    • Kosterlitz J M 1974 The critical properties of the two-dimensional XY model J. Phys. C: Solid State Phys. 7 1046
    • (1974) J. Phys. C: Solid State Phys. , vol.7 , pp. 1046
    • Kosterlitz, J.M.1
  • 13
    • 13044268246 scopus 로고
    • Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
    • José J V, Kadanoff L P, Kirkpatrick S and Nelson D R 1977 Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model Phys. Rev. B 16 1217
    • (1977) Phys. Rev. B , vol.16 , pp. 1217
    • José, J.V.1    Kadanoff, L.P.2    Kirkpatrick, S.3    Nelson, D.R.4
  • 14
    • 0008648942 scopus 로고
    • Renormalisation group analysis of the phase transition in the 2D Coulomb gas, sine-Gordon theory and XY model
    • Amit D J, Goldschmidt Y Y and Grinstein G 1980 Renormalisation group analysis of the phase transition in the 2D Coulomb gas, sine-Gordon theory and XY model J. Phys. A: Math. Gen. 13 585
    • (1980) J. Phys. A: Math. Gen. , vol.13 , pp. 585
    • Amit, D.J.1    Goldschmidt, Y.Y.2    Grinstein, G.3
  • 15
    • 65449179963 scopus 로고    scopus 로고
    • Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models
    • [arXiv:0811.2178]
    • Hasenbusch M 2009 Kosterlitz-Thouless transition in thin films: a Monte Carlo study of three-dimensional lattice models J. Stat. Mech. P02005 [arXiv:0811.2178]
    • (2009) J. Stat. Mech. , vol.2009
    • Hasenbusch, M.1
  • 19
    • 29444437932 scopus 로고
    • Free energy and specific heat of critical films and surfaces
    • Krech M and Dietrich S 1992 Free energy and specific heat of critical films and surfaces Phys. Rev. A 46 1886
    • (1992) Phys. Rev. A , vol.46 , pp. 1886
    • Krech, M.1    Dietrich, S.2
  • 20
    • 18344392480 scopus 로고
    • Specific heat of critical films, the Casimir force and wetting films near end points
    • Krech M and Dietrich S 1992 Specific heat of critical films, the Casimir force and wetting films near end points Phys. Rev. A 46 1922
    • (1992) Phys. Rev. A , vol.46 , pp. 1922
    • Krech, M.1    Dietrich, S.2
  • 21
    • 34648817143 scopus 로고    scopus 로고
    • Thinning of superfluid films below the critical point
    • [arXiv:cond-mat/0703262]
    • Zandi R, Shackell A, Rudnick J, Kardar M and Chayes L 2007 Thinning of superfluid films below the critical point Phys. Rev. E 76 030601 [arXiv:cond-mat/0703262]
    • (2007) Phys. Rev. e , vol.76 , pp. 030601
    • Zandi, R.1    Shackell, A.2    Rudnick, J.3    Kardar, M.4    Chayes, L.5
  • 22
    • 34648828815 scopus 로고    scopus 로고
    • Critical Casimir effect in superfluid wetting films
    • [arXiv:0705.1064]
    • Maciolek A, Gambassi A and Dietrich S 2007 Critical Casimir effect in superfluid wetting films Phys. Rev. E 76 031124 [arXiv:0705.1064]
    • (2007) Phys. Rev. e , vol.76 , pp. 031124
    • MacIolek, A.1    Gambassi, A.2    Dietrich, S.3
  • 23
    • 78951496078 scopus 로고    scopus 로고
    • Monte Carlo simulation results for critical Casimir forces
    • [arXiv:0708.2902]
    • Vasilyev O, Gambassi A, Maciolek A and Dietrich S 2007 Monte Carlo simulation results for critical Casimir forces Europhys. Lett. 80 60009 [arXiv:0708.2902]
    • (2007) Europhys. Lett. , vol.80 , pp. 60009
    • Vasilyev, O.1    Gambassi, A.2    MacIolek, A.3    Dietrich, S.4
  • 24
    • 35948966033 scopus 로고    scopus 로고
    • c: Monte Carlo results
    • [arXiv:0706.3458]
    • c: Monte Carlo results Phys. Rev. Lett. 99 185301 [arXiv:0706.3458]
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 185301
    • Hucht, A.1
  • 25
    • 66049117848 scopus 로고    scopus 로고
    • Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations
    • [arXiv:0812.0750]
    • Vasilyev O, Gambassi A, Maciolek A and Dietrich S 2009 Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations Phys. Rev. E 79 041142 [arXiv:0812.0750]
    • (2009) Phys. Rev. e , vol.79 , pp. 041142
    • Vasilyev, O.1    Gambassi, A.2    MacIolek, A.3    Dietrich, S.4
  • 27
    • 0000230579 scopus 로고
    • Universality, irrelevant surface operators, and corrections to scaling in systems with free surfaces and defect planes
    • Diehl H W, Dietrich S and Eisenriegler E 1983 Universality, irrelevant surface operators, and corrections to scaling in systems with free surfaces and defect planes Phys. Rev. B 27 2937
    • (1983) Phys. Rev. B , vol.27 , pp. 2937
    • Diehl, H.W.1    Dietrich, S.2    Eisenriegler, E.3
  • 28
    • 0001516909 scopus 로고
    • Susceptibility scaling functions for ferromagnetic Ising films
    • Capehart T W and Fisher M E 1976 Susceptibility scaling functions for ferromagnetic Ising films Phys. Rev. B 13 5021
    • (1976) Phys. Rev. B , vol.13 , pp. 5021
    • Capehart, T.W.1    Fisher, M.E.2
  • 29
    • 0039064962 scopus 로고    scopus 로고
    • High precision Monte Carlo study of the 3D XY-universality class
    • [arXiv:cond-mat/9904408]
    • Hasenbusch M and Török T 1999 High precision Monte Carlo study of the 3D XY-universality class J. Phys. A: Math. Gen. 32 6361 [arXiv:cond-mat/9904408]
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 6361
    • Hasenbusch, M.1    Török, T.2
  • 30
    • 0034896590 scopus 로고    scopus 로고
    • Critical behavior of the three-dimensional XY universality class
    • [arXiv:cond-mat/0010360]
    • Campostrini M, Hasenbusch M, Pelissetto A, Rossi P and Vicari E 2001 Critical behavior of the three-dimensional XY universality class Phys. Rev. B 63 214503 [arXiv:cond-mat/0010360]
    • (2001) Phys. Rev. B , vol.63 , pp. 214503
    • Campostrini, M.1    Hasenbusch, M.2    Pelissetto, A.3    Rossi, P.4    Vicari, E.5
  • 33
    • 65449126045 scopus 로고    scopus 로고
    • A Monte Carlo study of the three-dimensional XY universality class: Universal amplitude ratios
    • Hasenbusch M 2008 A Monte Carlo study of the three-dimensional XY universality class: universal amplitude ratios J. Stat. Mech. P12006 [arXiv:0810.2716]
    • (2008) J. Stat. Mech. , vol.2008
    • Hasenbusch, M.1
  • 34
    • 4344691923 scopus 로고    scopus 로고
    • Specific heat of liquid helium in zero gravity very near the λ-point
    • [arXiv:0810.2716]
    • Lipa J A, Nissen J A, Stricker D A, Swanson D R and Chui T C P 2003 Specific heat of liquid helium in zero gravity very near the λ-point Phys. Rev. B 68 174518 [arXiv:cond-mat/0310163]
    • (2003) Phys. Rev. B , vol.68 , pp. 174518
    • Lipa, J.A.1    Nissen, J.A.2    Stricker, D.A.3    Swanson, D.R.4    Chui, T.C.P.5
  • 35
    • 5244336186 scopus 로고
    • Collective Monte Carlo updating for spin systems
    • Wolff U 1989 Collective Monte Carlo updating for spin systems Phys. Rev. Lett. 62 361
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 361
    • Wolff, U.1
  • 36
    • 0001642844 scopus 로고    scopus 로고
    • Critical exponents of the 3D ising universality class from finite size scaling with standard and improved actions
    • [arXiv:hep-lat/9806012]
    • Hasenbusch M, Pinn K and Vinti S 1999 Critical exponents of the 3D ising universality class from finite size scaling with standard and improved actions Phys. Rev. B 59 11471 [arXiv:hep-lat/9806012]
    • (1999) Phys. Rev. B , vol.59 , pp. 11471
    • Hasenbusch, M.1    Pinn, K.2    Vinti, S.3
  • 37
    • 56349092367 scopus 로고    scopus 로고
    • PhD Thesis Dept. of Math., Graduate School of Science, Hiroshima University Advisor: M Matsumoto; The numerical program and a detailed description can be found
    • Saito M An Application of finite field: design and implementation of 128-bit instruction-based fast pseudorandom number generator PhD Thesis Dept. of Math., Graduate School of Science, Hiroshima University Advisor: M Matsumoto; The numerical program and a detailed description can be found at http://www.math.sci.hiroshima-u.ac.jp/m-mat/MT/SFMT/index.html
    • Application of Finite Field: Design and Implementation of 128-bit Instruction-based Fast Pseudorandom Number Generator
    • Saito, M.1
  • 38
    • 0001529249 scopus 로고
    • Critical exponents by the scaling-field method: The isotropic N-vector model in three dimensions
    • Newman K E and Riedel E K 1984 Critical exponents by the scaling-field method: The isotropic N-vector model in three dimensions Phys. Rev. B 30 6615
    • (1984) Phys. Rev. B , vol.30 , pp. 6615
    • Newman, K.E.1    Riedel, E.K.2
  • 39
    • 71049167335 scopus 로고    scopus 로고
    • http://users.wpi.edu/garcia/casimirdata/
  • 40
    • 4043166046 scopus 로고
    • Fluctuation-induced forces between rough surfaces
    • Li H and Kardar M 1991 Fluctuation-induced forces between rough surfaces Phys. Rev. Lett. 67 3275
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 3275
    • Li, H.1    Kardar, M.2
  • 41
    • 19644401022 scopus 로고    scopus 로고
    • Casimir forces, surface fluctuations, and thinning of superfluid film
    • Zandi R, Rudnick J and Kardar M 2004 Casimir forces, surface fluctuations, and thinning of superfluid film Phys. Rev. Lett. 93 155302
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 155302
    • Zandi, R.1    Rudnick, J.2    Kardar, M.3


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