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Elastic properties of the rectangular crystalline phase of planar hard cyclic pentamers

Treść / Zawartość
Identyfikatory
Warianty tytułu
Konferencja
MD Simulations in Poland: 1st National Symposium (28-30.09.2000, Gdańsk)
Języki publikacji
EN
Abstrakty
EN
Structural and elastic properties of the densest known solid phase of two-dimensional (2D) system of hard cyclic pentamers (each pentamer is composed of five discs which centres are placed at vertices of a perfect pentagon of sides equal to the disc diameter, delta) are studied by Monte Carlo simulations. The present study confirms that at high densities the pentamers form a 2D solid structure of rectangular lattice with two pentamers (which librate, without rotation, around their mean orientations) in the unit cell. Elastic constants calculated for this structure show that, in contrast to densely packed 2D hard cyclic heptamers (composed of seven discs of centres forming a perfect heptagon of sides equal to the disc diameter delta), the pentamers do not exhibit anomalous Poisson's ratios.
Rocznik
Strony
331--340
Opis fizyczny
Bibliogr. 16 poz., rys., tab.
Twórcy
  • Institute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17/19, 60-179 Poznań, Poland
  • Institute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17/19, 60-179 Poznań, Poland
Bibliografia
  • [1] Branka A C and Wojciechowski K W 1984 Phys. Letters A 101 349
  • [2] Sachdev S and Nelson D R 1985 Phys. Rev. B 32 1480
  • [3] Branka A C and Wojciechowski K W 1991 Molec. Phys. 72 941 ibid. 78 1513
  • [4] Wojciechowski K W and Tretiakov K V 2000 Computational Meth. in Sci. and Technol. 6 101
  • [5] Landau L D, Lifshitz E M, Kosevich A M and Pitaevskii I P 1986 Theory of Elasticity Pergamon Press, London
  • [6] (a) Wojciechowski K W 1987 Molec. Phys. 61 1247; (b) Wojciechowski K W and Branka A C 1989 Phys. Rev. A 40 7222
  • [7] Wojciechowski K W 1989 Phys. Letters A 137 60
  • [8] Lakes R 1987 Science 235 1038
  • [9] See, e.g.: (a) Evans K E 1991 Endeavour New Series 15 170; (b) Lakes R 1993 Adv. Materials 5 293; (c) Boal D H, Seifert U and Schillcock J C 1993 Phys. Rev. E 48 4274; (d) Wojciechowski K W 1995 Molec. Phys. Reports 10 129; (e) Martz E O, Lakes R S and Park J B 1996 Cellular Polymers 15 349; (f) Wojciechowski K W and Tretiakov K V 1996 Computational Meth. in Sci. and Technol. 1 25; (g) Prall D and Lakes R 1997 Int. J. of Mechanical Science 39 305; (h) Larsen U D, Sigmund O and Bouwstra S 1997 J. Macromech. Systems 6 99; (i) Theocaris P S, Stavroulakis G E and Panagiotopoulos P D 1997 Archive of Applied Mechanics 67 274; (j) Baughman R H, Shacklette J M, Zakhidov A A and Stafstroem S 1998 Nature 392 362; (k) Wojciechowski K W 1998 Isotropic Systems of Negative Poisson Ratios in „Proceedings of the 2nd Tohwa International Meeting”, Eds. Tokuyama M and Oppenheim I World Scientific Singapore; (l) Wei G Y and Edwards S F 1998 Phys. Rev. E 58 6173; (m) Novikov V V and Wojciechowski K W 1999 Physics of the Solid State 41 1970; (n) Baughman R H, Dantas S O, Stafstrom S, Zakhidov A A, Michell T B and Dubin D H E 2000 Science 288 2018; (o) Evans K E Alderson A 2000 Advanced Materials 12 617
  • [10] Parrinello M and Rahman A 1982 J. Chem. Phys. 76 2662
  • [11] Wojciechowski K W and Branka A C 1989 Phys. Letters A 134 314
  • [12] Wojciechowski K W and Tretiakov K V 1999 Comp. Phys. Commun. 121-122 528
  • [13] See, e.g., Sinha S K (editor) 1980 Ordering in two dimensions North Holland, New York and the references therein
  • [14] Rogers C A 1964 Packing and covering Cambridge University Press, Cambridge
  • [15] Hales T C 1997 Discrete Comput. Geom. 17 1; Hales T C 1997 Discrete Comput. Geom. 18 135; Ferguson S P 1998 thesis Univ. Michigan; see also http://www.math.lsa.umich.edu/˜hales/countdown/
  • [16] Wojciechowski K W Branka A C and Parrinello M 1984 Molec. Physics 53 1541
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0014-0018
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