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[해외논문] Hyperscaling above the upper critical dimension 원문보기

Nuclear physics, B, v.865 no.1, 2012년, pp.115 - 132  

Berche, B. ,  Kenna, R. ,  Walter, J.C.

Abstract AI-Helper 아이콘AI-Helper

Above the upper critical dimension, the breakdown of hyperscaling is associated with dangerous irrelevant variables in the renormalization group formalism at least for systems with periodic boundary conditions. While these have been extensively studied, there have been only a few analyses of finite-...

참고문헌 (63)

  1. Fisher 1 1971 Critical Phenomena, Proceedings of the 51st Enrico Fermi Summer School, Verenna, Italy The theory of critical point singularities 

  2. Phys. Rev. Lett. Fisher 28 1516 1972 10.1103/PhysRevLett.28.1516 Scaling theory for finite-size effects in the critical region 

  3. J. Phys. Brezin 43 15 1982 10.1051/jphys:0198200430101500 An investigation of finite size scaling 

  4. Z. Phys. B Binder 61 13 1985 10.1007/BF01308937 Critical properties and finite-size effects of the five-dimensional Ising model 

  5. Phys. Rev. B Binder 31 1498 1985 10.1103/PhysRevB.31.1498 Finite size tests of hyperscaling 

  6. Nucl. Phys. B Brezin 257 867 1985 10.1016/0550-3213(85)90379-7 Finite size effects in phase transitions 

  7. J. Stat. Phys. Rudnick 41 353 1985 10.1007/BF01009013 Finite-size scaling and the renormalization group 

  8. Phys. Rev. B Rudnick 32 7594 1985 10.1103/PhysRevB.32.7594 Effect of boundary conditions on critical behavior of a finite high-dimensional Ising model 

  9. Ferroelectrics Binder 73 43 43 1987 10.1080/00150198708227908 Finite size effects on phase transitions 

  10. Ann. Phys. Rickwardt 3 483 1994 10.1002/andp.19945060606 A finite-size scaling study of the five-dimensional Ising model 

  11. Europhys. Lett. Mon 34 399 1996 10.1209/epl/i1996-00470-4 Finite-size scaling of the 5D Ising model 

  12. Phys. Rev. B Parisi 54 R3698 1996 10.1103/PhysRevB.54.R3698 Scaling above the upper critical dimension in Ising models 

  13. Phys. Rev. Lett. Luijten 76 1557 1996 10.1103/PhysRevLett.76.1557 Finite-size scaling and universality above the upper critical dimension 

  14. Phys. Rev. Lett. Luijten 76 3662 1996 10.1103/PhysRevLett.76.3662.3 Finite-size scaling and universality above the upper critical dimension 

  15. Phys. Rev. B Luijten 56 8945 1997 10.1103/PhysRevB.56.8945 Critical behaviour of spin models with long-range interactions 

  16. Europhys. Lett. Blote 38 565 1997 10.1209/epl/i1997-00284-x Universality and the five-dimensional Ising model 

  17. Luijten 1997 Interaction Range, Universality and the Upper Critical Dimension 

  18. Eur. Phys. J. B Luijten 9 289 1999 10.1007/s100510050768 Finite-size scaling above the upper critical dimension revisited: The case of the five-dimensional Ising model 

  19. Physica A Binder 281 112 2000 10.1016/S0378-4371(00)00025-X Monte Carlo investigations of phase transitions: status and perspectives 

  20. Int. J. Mod. Phys. C Aktekin 10 1237 1999 10.1142/S0129183199001005 The test of the finite size scaling relations for the five-dimensional Ising model on the Creutz cellular automaton 

  21. Physica A Aktekin 284 206 2000 10.1016/S0378-4371(00)00181-3 The test of the finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton 

  22. Physica A Merdan 366 265 2006 10.1016/j.physa.2005.10.035 The test of the finite-size scaling relations of the Ising models in seven and eight dimensions on the Creutz cellular automaton 

  23. Phys. Rev. B Jones 71 174438 2005 10.1103/PhysRevB.71.174438 Finite-size scaling of the correlation length above the upper critical dimension in the five-dimensional Ising model 

  24. Nucl. Phys. B Lundow 845 120 2011 10.1016/j.nuclphysb.2010.12.002 Non-vanishing boundary effects and quasi-first-order phase transitions in high dimensional Ising models 

  25. Fisher vol. 186 1 1983 Critical Phenomena Scaling, universality and renormalization group theory 

  26. Brankov 2000 10.1142/4146 Theory of Critical Phenomena in Finite-Size Systems: Scaling and Quantum Effects 

  27. Phys. Rep. Binder 344 179 2001 10.1016/S0370-1573(00)00127-7 Monte Carlo tests of renormalization group predictions for critical phenomena in Ising models 

  28. Binder vol. 8 1 1983 Critical behaviour at surfaces 

  29. Diehl vol. 10 76 1986 Field-theoretic approach to critical behaviour at surfaces 

  30. J. Phys. A: Math. Gen. Shima 39 4921 2006 10.1088/0305-4470/39/18/010 Geometric effects on critical behaviours of the Ising model 

  31. Watson vol. 2 101 1973 Surface and size effects in lattice models 

  32. Phys. Lett. Gunton 26 406 1968 10.1016/0375-9601(68)90245-4 Finite size effects at the critical point 

  33. Barber vol. 8 145 1983 Finite-size scaling 

  34. 1990 10.1142/1011 Finite Size Scaling and Numerical Simulation of Statistical Systems 

  35. Phys. Rev. B Privman 30 322 1984 10.1103/PhysRevB.30.322 Universal critical amplitudes in finite-size scaling 

  36. Phys. Rev. B Singh 31 4483 1985 10.1103/PhysRevB.31.4483 Privman-Fisher hypothesis on finite systems: Verification in the case of the spherical model of ferromagnetism 

  37. Ma 1976 Modern Theory of Critical Phenomena 

  38. Nature Landau 137 840 1936 10.1038/138840a0 On the theory of phase transitions 

  39. Phys. Rev. B Wegner 5 4529 1972 10.1103/PhysRevB.5.4529 Corrections to scaling laws 

  40. Phys. Lett. B Kenna 264 396 1991 10.1016/0370-2693(91)90367-Y Finite-size scaling and the zeroes of the partition function in the ?44 model 

  41. Nucl. Phys. B Kenna 393 461 1993 10.1016/0550-3213(93)90068-Z Renormalization group analysis of finite-size scaling in the ?44 model 

  42. Int. J. Mod. Phys. C Aktekin 10 1237 1999 10.1142/S0129183199001005 The test of the finite-size scaling relations for the five-dimensional Ising model on the Creutz cellular automaton 

  43. Physica A Aktekin 284 206 2000 10.1016/S0378-4371(00)00181-3 The test of the finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton 

  44. Phys. Lett. A Merdan 330 403 2004 10.1016/j.physleta.2004.08.030 The finite-size scaling study of the specific heat and the Binder parameter for the six-dimensional Ising model 

  45. Appl. Math. Comput. Merdan 167 212 2005 10.1016/j.amc.2004.06.092 The effect of the increase of linear dimensions on exponents obtained by finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton 

  46. Physica A Aktekin 290 123 2001 10.1016/S0378-4371(00)00358-7 The test of the finite-size scaling relations for the seven-dimensional Ising model on the Creutz cellular automaton 

  47. Physica A Merdan 366 265 2006 10.1016/j.physa.2005.10.035 The test of the finite-size scaling relations of the Ising models in seven and eight dimensions on the Creutz cellular automaton 

  48. Phys. Rev. B Janke 65 064110 2002 10.1103/PhysRevB.65.064110 Finite-size scaling and corrections in the Ising model with Brascamp-Kunz boundary conditions 

  49. Binder 59 1992 Computational Methods in Field Theory, Proceedings of the 31st Internationale Universitatswoche fur Kern- und Teilchenphysik, Schladming, Austria Finite size effects at phase transitions 

  50. Phys. Rev. Lett. Wolff 62 361 1989 10.1103/PhysRevLett.62.361 Collective Monte Carlo updating for spin systems 

  51. Phys. Rev. Lett. Ferrenberg 61 2635 1988 10.1103/PhysRevLett.61.2635 New Monte Carlo technique for studying phase transitions 

  52. Phys. Rev. Lett. Ferrenberg 63 1195 1989 10.1103/PhysRevLett.63.1195 Optimized Monte Carlo data analysis 

  53. Phys. Rev. E Ferrenberg 51 5092 1995 10.1103/PhysRevE.51.5092 Statistical errors in histogram reweighting 

  54. Phys. Rev. Lett. Kim 70 1735 1993 10.1103/PhysRevLett.70.1735 Application of finite size scaling to Monte Carlo simulations 

  55. Eur. Phys. J. B Caracciolo 20 255 2001 Finite-size correlation length and violations of finite-size scaling 

  56. Phys. Rev. Yang 87 404 1952 10.1103/PhysRev.87.404 Statistical theory of equations of state and phase transitions I. Theory of condensation 

  57. Phys. Rev. Yang 87 410 1952 10.1103/PhysRev.87.404 Statistical theory of equations of state and phase transitions II. Lattice gas and Ising model 

  58. Nucl. Phys. B Itzykson 220 415 1983 10.1016/0550-3213(83)90499-6 Distributions of zeros in Ising and gauge models 

  59. Phys. Rev. Lett. Kenna 96 115701 2006 10.1103/PhysRevLett.96.115701 Scaling relations for logarithmic corrections 

  60. Phys. Rev. Lett. Kenna 97 155702 2006 10.1103/PhysRevLett.97.155702 Self-consistent scaling theory for logarithmic-correction exponents 

  61. Phys. Rev. B Wegner 7 248 1973 10.1103/PhysRevB.7.248 Logarithmic corrections to molecular-field behavior of critical and tricritical systems 

  62. JSTAT Berche P11010 2008 10.1088/1742-5468/2008/11/P11010 Extended scaling in high dimensions 

  63. Phys. Rev. E Butera 85 021105 2012 10.1103/PhysRevE.85.021105 Triviality problem and the high-temperature expansions of the higher susceptibilities for the Ising and the scalar field models on four-, five-, and six-dimensional lattices 

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