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Tytuł artykułu

Symplectic and time reversible integrator for rigid bodies

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A symplectic and time-reversible molecular dynamics algorithm is presented for rigid molecules in the quaternion representation. The algorithm is developed on the basis of the Trotter factorisation scheme using a Hamiltonian formalism The structure is similar to that of the velocity Verlet algorithm. Subsequently we describe the coupling of the rigid bodies to a thermostat. The isothermal molecular dynamics is defined by introducing additional pseudo-friction coefficients, according to a generalised Nose-Hoover prescription.
Czasopismo
Rocznik
Strony
31--45
Opis fizyczny
Bibliogr. 22 poz.,
Twórcy
autor
  • School of Mathematical & Information Sciences, Coventry University, Coventry, CV1 5FB, United Kingdomv
autor
  • School of Mathematical & Information Sciences, Coventry University, Coventry, CV1 5FB, United Kingdom
autor
  • School of Mathematical & Information Sciences, Coventry University, Coventry, CV1 5FB, United Kingdom
Bibliografia
  • [1] Allen M. P.. Tildesley D. J., Computer Simulation of Liquids, Oxford University Press, Oxford 1987.
  • [2] Andersen H. C., RATTLE: A velocity version of the SHAKE algorithm for molecular dynamics, J. Comp. Phys., 52, 1983, 24-34.
  • [3] Ryckaert J. P., Ciccotti G., Berendsen H. J. C., Numerical integration of the Cartesian equations of motion of a system with constraints, J. Comp. Phys., 23, 1977, 327-341.
  • [4] Bond S. D., Leimkuhler B. J., Laird B. B., The Nose-Poincare method for constant temperature molecular dynamics, J. Comp. Phys., 151, 1999, 114-134.
  • [5] Leimkuhler B. J., Reich S., Skeel R. D., IMA volumes in mathematics and its applications. Vol. 82, Springer-Verlag, New York 1996.
  • [6] Bulgac A., Adamuti-Trache M., Molecular dynamics for rigid molecules, J. Chem. Phys., 105, 1996,1131-1141.
  • [7] Dullweber A., Leimkuhler B., McLachlan R., Symplectic splitting methods for rigid body molecular dynamics, J. Chem. Phys., 107, 1997, 5840-5851.
  • [8] Matubayashi N., Nakahara M., Reversible molecular dynamics for rigid bodies and hybrid Monte Carlo, J. Chem. Phys., 110, 1999, 3291-3301.
  • [9] Arnold V. L, Mathematical Methods of Classical Mechanics, Springer-Verlag, Berlin 1978.
  • [10] Hoover W. G., Canonical dynamics: Equilibrium phase-space distributions, Phys. Rev. A, 31, 1985,1695-1697.
  • [11] Nose A., A., Unified formulation of the constant temperature molecular dynamics methods, J. Chem. Phys., 81 1984.511-519.
  • [12] Winkler R. G., Kraus V., Reineker P., Time reversible and phase-space conserving molecular dynamics at constant temperature, J. Chem. Phys., 102, 1995,9018-9025.
  • [13] Tuckerman M. E., Mundy C. J., Martyna G. J., On the classical statistical mechanics of non-Hamiltonian systems, Europhys. Lett., 45, 1999, 149-155.
  • [14] Tuckerman M. E., Liu Y., Ciccotti G., Martyna G. J., Non-Hamiltonian molecular dynamics: Generalizing Hamiltonian phase space principles to non-Hamiltonian systems, J. Chem. Phys., 115, 2001, 1678-1702.
  • [15] Martyna G. J., Tuckerman M. E., Tobias D. J., Klein M. L., Explicit reversible integrators for extended systems dynamics, Mol. Phys., 87, 1996, 1117-1157.
  • [16] Simone M., Giovanni C., Brad L. H., Hoover NPT dynamics for systems varying in shape and size, Mol. Phys., 78, 1993, 533-544.
  • [17] Goldstein H., Classical Mechanics, 2nd edition, Addison-Wesley, Reading, Massachusetts, 1980.
  • [18] Frenkel D., Smit B., Understanding Molecidar Simulation, Academic Press, New York 1996.
  • [19] Trotter H. F., On the product of semi-groups of operators, Proc. Am. Math. Soc., 10, 1959, 545-551.
  • [20] De Raedt H., De Raedt B., Applications of the generalized Trotter formula, Phys. Rev. A., 28, 1983, 3575-3580.
  • [21] Yoshida H., Construction of higher order symplectic integrators, Phys. Lett. A., 150, 1990, 262-268.
  • [22] Izaguirre J. A., Reich S., Skeel R. D., Longer time steps for molecular dynamics, J. Chem. Phys., 110(20), 1999, 9853-9864.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW4-0002-0128
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