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References

  1. W. W. Wood, in: Fundamental Problems in Statistical Mechanics, Vol 3, ed. by E.D.G. Cohen (North-Holland, Amsterdam, 1975), p. 331.

    Google Scholar 

  2. J.L. Lebowitz, J.K. Percus, L. Verlet: Phys. Rev. 153, 250 (1967).

    Article  ADS  Google Scholar 

  3. E. M. Pearson, T. Halicioglu, W. A. Tiller: Phys. Rev. A 32, 3030 (1985).

    Article  ADS  Google Scholar 

  4. T. Çaˇ in, J. R. Ray: Phys. Rev. A 37, 247 (1988).

    Article  ADS  Google Scholar 

  5. J. R. Ray, H. W. Graben: Phys. Rev. A 44, 6905 (1991).

    Article  ADS  Google Scholar 

  6. F. L. Román, J. A. White, S. Velasco: Phys. Rev. E 51, 6271 (1995).

    Article  ADS  Google Scholar 

  7. F. L. Román, A. González, J. A. White, S. Velasco: Physica A 234, 53 (1996).

    Google Scholar 

  8. J. R. Ray, H. Zhang: Phys. Rev. E 59, 4781 (1999).

    Article  ADS  Google Scholar 

  9. W. W. Wood, J. J. Erpenbeck, G. A. Baker, J. D. Johnson: Phys. Rev. E 63, 011106 (2000).

    Article  ADS  Google Scholar 

  10. D.C. Wallace, G.K. Straub: Phys. Rev. A 27, 2201 (1983).

    Google Scholar 

  11. F. L. Román, J. A. White, A. González, S. Velasco: Physica A 334, 312 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  12. F.L. Román, A. González, J.A. White, S. Velasco: J. Chem. Phys. 118, 7930 (2003).

    Google Scholar 

  13. V. Laliena: Phys. Rev. E. 59, 4786 (1999).

    Article  ADS  Google Scholar 

  14. D.H.E. Gross, E.V. Votyakov: Eur. Phys. J. B 15, 115 (2000).

    ADS  Google Scholar 

  15. O. Fliegans, D.H.E. Gross: Phys. Rev. E 65, 046143 (2002).

    Article  ADS  Google Scholar 

  16. E.V. Votyakov, H.I. Hidmi, A. De Martino, D.H.E. Gross: Phys. Rev. Lett. 89, 031101 (2002).

    Article  ADS  Google Scholar 

  17. Gross, D. H. E.: Microcanonical Thermodynamics: Phase Transitions in “Small” Systems Lect. Notes Phys. 66 World Scientific Publishing Co. Pte. Ltd., Singapore (2001).

    Google Scholar 

  18. A. Schlüter: Z. Naturf. A 3, 350 (1948).

    Google Scholar 

  19. F. Lado: J. Chem. Phys. 75, 5461 (1981).

    Google Scholar 

  20. A.I. Khinchin: Mathematical Foundations of Statistical Mechanics (Dover, New York, 1949) Chap. II.

    Google Scholar 

  21. A. Münster: Statistical Thermodynamics (Springer, Berlin, 1969), Chap. 1.

    MATH  Google Scholar 

  22. S. Velasco, J.A. White, J. Güémez: Eur. J. Phys. 14, 166 (1993).

    Google Scholar 

  23. D.C. Rapaport: The Art of Molecular Dynamics Simulation (Cambridge University Press, Cambridge 1997).

    Google Scholar 

  24. J. L. Lebowitz, J. K. Percus: Phys. Rev. 122, 1675 (1961).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. J. L. Lebowitz, J. K. Percus: Phys. Rev. 124, 1673 (1961).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. L. R. Pratt, S. W. Haan: J. Chem. Phys. 74, 1864 (1981).

    Article  ADS  Google Scholar 

  27. L. R. Pratt, S. W. Haan: J. Chem. Phys. 74, 1873 (1981).

    Article  ADS  Google Scholar 

  28. A. R. Denton, P. A. Egelstaff: Z. Phys. B 103, 343 (1997).

    Google Scholar 

  29. K. Binder, D. W. Hermann: Monte Carlo Simulation in Statistical Physics: an Introduction (Springer, Berlin, 1988).

    MATH  Google Scholar 

  30. K. Binder: Phys. Rev. Lett. 47, 693 (1981).

    Article  ADS  Google Scholar 

  31. K. Binder: Z. Phys. B 43, 119 (1981).

    Article  ADS  Google Scholar 

  32. M. Rovere, D. W. Hermann, K. Binder: Europhys. Lett. 6, 585 (1988).

    Article  ADS  Google Scholar 

  33. M. Rovere, D. W. Hermann, K. Binder: J. Phys.: Condens. Matter 2, 7009 (1990).

    Article  ADS  Google Scholar 

  34. M. Rovere, P. Nielaba, K. Binder: Z. Phys. B 90, 215 (1993).

    Article  ADS  Google Scholar 

  35. D. Marx, P. Nielaba, K. Binder: Phys. Rev. B 47, 7788 (1993).

    Article  ADS  Google Scholar 

  36. H. Weber, D. Marx: Europhys. Lett. 27, 593 (1994).

    Article  ADS  Google Scholar 

  37. H. Weber, D. Marx, K. Binder: Phys. Rev. B 51, 14636 (1995).

    Article  ADS  Google Scholar 

  38. F. L. Román, J. A. White, S. Velasco: J. Chem. Phys. 106, 4196 (1997).

    Article  ADS  Google Scholar 

  39. J. J. Salacuse, A. R. Denton, P. A. Egelstaff: Phys Rev. E 53, 2382 (1996).

    Article  ADS  Google Scholar 

  40. F. L. Román, J. A. White, A. González, S. Velasco: J. Chem. Phys. 110, 9821 (1999).

    Article  ADS  Google Scholar 

  41. J.P. Hansen, I.R. McDonald: Theory of Simple Liquids, 2nd Ed. (Academic Press, London 1986).

    Google Scholar 

  42. M. Rovere, D.W. Hermann, K. Binder: Europhys. Lett. 6, 585 (1988).

    Article  ADS  Google Scholar 

  43. M. Rovere, D.W. Hermann, K. Binder: J. Phys.: Condens. Matter 2, 7009 (1990).

    Article  ADS  Google Scholar 

  44. D. A. McQuarrie: Statistical Mechanics (Harper-Row, New York, 1976).

    Google Scholar 

  45. F. L. Román, J. A. White, S. Velasco: J. Chem. Phys. 107, 4635 (1997).

    Google Scholar 

  46. F. L. Román, J. A. White, S. Velasco: Europhys. Lett. 42, 371 (1998).

    Article  ADS  Google Scholar 

  47. M. Baus, J.L. Colot: Phys. Rev. A 36, 3912 (1987).

    Article  ADS  Google Scholar 

  48. M. Baus, J.L. Colot: J. Phys. C 19, L643 (1986).

    Article  ADS  Google Scholar 

  49. F. Lado: J. Chem.Phys. 49, 3092 (1968).

    Article  ADS  Google Scholar 

  50. M. Schoen, D. J. Diestler, J. H. Cushman: J. Chem. Phys. 87, 5464 (1987).

    Article  ADS  Google Scholar 

  51. A. González, J. A. White, F. L. Román, S. Velasco, R. Evans: Phys. Rev. Lett. 79, 2466 (1997).

    Article  ADS  Google Scholar 

  52. A. González, J. A. White, F. L. Román, R. Evans: J. Chem. Phys. 109, 3637 (1998).

    Article  ADS  Google Scholar 

  53. Y. Rosenfeld: Phys. Rev. Lett. 63, 980 (1989).

    Article  ADS  Google Scholar 

  54. Y. Rosenfeld: Phys. Rev. A 42, 5978 (1990).

    Article  ADS  Google Scholar 

  55. Y. Rosenfeld, D. Levesque, J. J. Weis: J. Chem. Phys. 92, 6818 (1990).

    Article  ADS  Google Scholar 

  56. Y. Rosenfeld: J. Chem. Phys. 98, 8126 (1993).

    Article  ADS  Google Scholar 

  57. E. Kierlik, M. L. Rosinberg: Phys. Rev. A 42, 3382 (1990).

    Article  ADS  Google Scholar 

  58. E. Kierlik, M. L. Rosinberg: Phys. Rev A 44, 5025 (1991).

    Article  ADS  Google Scholar 

  59. S. Phan, E. Kierlik, M. L. Rosinberg, B. Bildstein, G. Kahl: Phys. Rev. E 48, 618 (1993).

    Article  ADS  Google Scholar 

  60. Y. Rosenfeld, M. Schmidt, H. Löwen, P. Tarazona: J. Phys.: Condens. Matter 8, l577 (1996).

    Article  ADS  Google Scholar 

  61. Y. Rosenfeld, M. Schmidt, H. Löwen, P. Tarazona: Phys Rev. E 55, 4245 (1997).

    Article  ADS  Google Scholar 

  62. P. Tarazona: Physica A 306, 243 (2002).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  63. P. Tarazona: Phys. Rev. Lett. 84, 694 (2000).

    Article  ADS  Google Scholar 

  64. A. González, J. A. White, F. L. Román, S. Velasco: J. Chem. Phys. 124, 154708 (2006).

    Article  ADS  Google Scholar 

  65. R. G. Parr, W. Yang: Density-Functional Theory of Atoms and Molecules, (Oxford University Press, Oxford, 1989).

    Google Scholar 

  66. J. A. White, A. González, F. L. Román, S. Velasco: Phys. Rev. Lett 84, 1220 (2000).

    Article  ADS  Google Scholar 

  67. D. N. Zubarev: Nonequilibrium Statistical Thermodynamics, (Plenum, New York, 1974), Chap. 13.

    Google Scholar 

  68. Y. Rosenfeld: Phys. Rev. Lett. 63, 980 (1989).

    Article  ADS  Google Scholar 

  69. Y. Rosenfeld: Phys. Rev. A 42, 5978 (1990).

    Article  ADS  Google Scholar 

  70. Y. Rosenfeld: J. Chem. Phys. 98, 8126 (1993).

    Article  ADS  Google Scholar 

  71. E. Kierlik, M. L. Rosinberg: Phys. Rev. A 42, 3382 (1990).

    Article  ADS  Google Scholar 

  72. S. Phan, E. Kierlik, M. L. Rosinberg, B. Bildstein, G. Kahl: Phys. Rev. E 48, 618 (1993).

    Article  ADS  Google Scholar 

  73. A. González, J. A. White, F. L. Román, S. Velasco: J. Chem. Phys. 120, 10634 (2004).

    Article  ADS  Google Scholar 

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Román, F., White, J., González, A., Velasco, S. (2008). Ensemble Effects in Small Systems. In: Mulero, Á. (eds) Theory and Simulation of Hard-Sphere Fluids and Related Systems. Lecture Notes in Physics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78767-9_8

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