The authors present a new molecular dynamics algorithm for sampling the isothermal-isobaric ensemble. In this approach the velocities of all particles and volume degrees of freedom are rescaled by a properly chosen random factor. The technical aspects concerning the derivation of the integration scheme and the conservation laws are discussed in detail. The efficiency of the barostat is examined in Lennard-Jones solid and liquid near the triple point and compared to the deterministic Nosé–Hoover and the stochastic Langevin methods. In particular, the dependence of the sampling efficiency on the choice of the thermostat and barostat relaxation times is systematically analyzed.
REFERENCES
1.
H. C.
Andersen
, J. Chem. Phys.
72
, 2384
(1980
).2.
M.
Parrinello
and A.
Rahman
, J. Appl. Phys.
52
, 7182
(1981
).3.
M.
Parrinello
and A.
Rahman
, J. Chem. Phys.
76
, 2662
(1982
).4.
W. G.
Hoover
, Phys. Rev. A
31
, 1695
(1985
).5.
G. J.
Martyna
, D. J.
Tobias
, and M. L.
Klein
, J. Chem. Phys.
101
, 4177
(1994
).6.
S.
Nosé
, Mol. Phys.
52
, 255
(1984
).7.
S.
Nosé
, J. Chem. Phys.
81
, 511
(1984
).8.
9.
G. J.
Martyna
, M. L.
Klein
, and M.
Tuckerman
, J. Chem. Phys.
97
, 2635
(1992
).10.
T.
Schneider
and E.
Stoll
, Phys. Rev. B
17
, 1302
(1978
).11.
S. E.
Feller
, Y.
Zhang
, and R. W.
Pastor
, J. Chem. Phys.
103
, 4613
(1995
).12.
G.
Bussi
and M.
Parrinello
, Phys. Rev. E
75
, 056707
(2007
).13.
H. J. C.
Berendsen
, J. P. M.
Postma
, W. F.
van Gunsteren
, A.
DiNola
, and J. R.
Haak
, J. Chem. Phys.
81
, 3684
(1984
).14.
S. C.
Harvey
, R. K.-Z.
Tan
, and T. E.
Cheatham
III, J. Comput. Chem.
19
, 726
(1998
).15.
G.
Bussi
, D.
Donadio
, and M.
Parrinello
, J. Chem. Phys.
126
, 014101
(2007
).16.
D.
Donadio
and G.
Galli
, Phys. Rev. Lett.
99
, 255502
(2007
).17.
F.
Bruneval
, D.
Donadio
, and M.
Parrinello
, J. Phys. Chem. B
111
, 12219
(2007
).18.
A.
Barducci
, G.
Bussi
, and M.
Parrinello
, Phys. Rev. Lett.
100
, 020603
(2008
).19.
20.
M. P.
Allen
and D. J.
Tildesley
, Computer Simulation of Liquids
(Oxford University Press
, Oxford
, 1987
).21.
D.
Frenkel
and B.
Smit
, Understanding Molecular Simulation
, 2nd ed. (Academic
, New York
, 2002
).22.
P.
Attard
, J. Chem. Phys.
103
, 9884
(1995
).23.
M. E.
Tuckerman
, Y.
Liu
, G.
Ciccotti
, and G. J.
Martyna
, J. Chem. Phys.
115
, 1678
(2001
).24.
25.
G.
Adjanor
, M.
Athènes
, and F.
Calvo
, Eur. Phys. J. B
53
, 47
(2006
).26.
S.
Duane
, A. D.
Kennedy
, B. J.
Pendleton
, and D.
Roweth
, Phys. Lett. B
195
, 216
(1987
).27.
W. H.
Wong
and F.
Liang
, Proc. Natl. Acad. Sci. U.S.A.
94
, 14220
(1997
).28.
D.
Landau
and K.
Binder
, A Guide to Monte Carlo Simulations in Statistical Physics
, 2nd ed. (Cambridge University Press
, Cambridge, England
, 2005
).29.
D. J.
Evans
, W. G.
Hoover
, B. H.
Failor
, B.
Moran
, and A. J. C.
Ladd
, Phys. Rev. A
28
, 1016
(1983
).30.
H. F.
Trotter
, Proc. Am. Math. Soc.
10
, 545
(1959
).31.
M.
Tuckerman
, B. J.
Berne
, and G. J.
Martyna
, J. Chem. Phys.
97
, 1990
(1992
).32.
M. J.
Louwerse
and E. J.
Baerends
, Chem. Phys. Lett.
421
, 138
(2006
).© 2009 American Institute of Physics.
2009
American Institute of Physics
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