Abstract
Techniques to compute absolute free energies of classical many-body systems are discussed with special emphasis on those techniques that can be used to map the phase diagram of solids and liquids. Recent technical advances in the study of multi-component systems and systems consisting of flexible molecules are emphasized.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O.G. Mouritsen, Computer Studies of Phase Transitions and Critical Phenomena, Springer, Berlin, 1984.
K. Binder, Applications of the Monte Carlo Method in Statistical Physics, Springer, Berlin, 1984.
W. G. Hoover and F. H. Ree, J. Chem. Phys. 47:4873 (1967).
J. P. Hansen and I. R. McDonald, Theory of Simple Liquids,2nd edition, Academic Press, London, 1986.
D. Frenkel and A. J. C. Ladd, J. Chem. Phys. 81:3188 (1984).
D. Frenkel and B. M. Mulder, Mol. Phys. 55:1171 (1985).
A. Stroobants, H. N. W. Lekkerkerker and D. Frenkel, Phys. Rev. A36:2929 (1987).
D. Frenkel, H. N. W. Lekkerkerker and A. Stroobants, Nature 332:822 (1988).
E.J.Meijer, D.Frenkel, R.A.LeSar and A.J.C.Ladd, J. Chem. Phys. 92:7570(1990).
W.G.T.Kranendonk and D.Frenkel, Mol. Phys. 72:679(1991)
W.G.T.Kranendonk and D.Frenkel, Mol. Phys. 72:699(1991)
B. Widom, J. Chem. Phys. 39:2808 (1963).
K .S. Shing, Chem. Phys. Lett. 119:149(1985)
K .S. Shing,J. Chem. Phys. 85:4633 (1986).
K .S. Shing and S. T. Chung, J. Phys. Chem. 91:1674 (1987).
P. Sindzingre, G. Ciccotti, C. Massobrio and D. Frenkel, Chem. Phys. Lett. 136:35 (1987).
D. Frenkel in: Molecular Dynamics Simulations of Statistical Mechanical Systems, Proceedings of the 97th International School of Physics ‘Enrico Fermi’, G. Ciccotti and W. G. Hoover, editors. North-Holland, Amsterdam, 1986, p.151.
J. L. Lebowitz, J. K. Percus and L. Verlet, Phys. Rev. 153:250 (1967).
P. Sindzingre, C. Massobrio, G. Ciccotti and D. Frenkel, Chemical Physics 129:213(1989)
J.I.Siepmann, Mol.Phys.70:1145(1990)
M.N.Rosenbluth and A.W.Rosenbluth, J.Chem. Phys. 23:356(1955)
S.K.Kumar and A.Z.Panagiotopoulos, preprint (1991).
D.Frenkel and B.Smit, to be published.
D.Frenkel, J.Phys. Condensed Matter 2(SA):265(1990)
G.A.C.M.Mooij and D.Frenkel, Mol. Phys. (in press).
J.I.Siepmann and D.Frenkel, submitted for publication
K. S. Shing and K. E. Gubbins, Mol. Phys. 46, 1109 (1982).
K. S. Shing and K. E. Gubbins, Mol. Phys. 49, 1121 (1983).
C. H. Bennett, J. Comput. Phys. 22, 245 (1976).
G. M. Torrie and J. P. Valleau, J. Comp. Phys. 23:187 (1977)
D.R.Squire and W.G.Hoover, J.Chem.Phys. 50:701(1969)
S.W.de Leeuw and M.J.Gillan, J. Phys. C15:5161(1982)
. G.Jacucci and M.Ronchetti, Solid State Commun.33:35(1980)
W. W. Wood, J. Chem. Phys. 48:415 (1968).
I. R. McDonald, Mol. Phys. 23:41 (1972).
Actually, there is no need to assume a real piston. The systems with volume V and V0-V may both be isolated systems subject to their individual (periodic) boundary conditions. The only constraint that we impose is that the sum of the volumes of the two systems equals V0.
R. Eppenga and D. Frenkel, Mol. Phys. 52:1303 (1984).
G. E. Norman and V. S. Filinov, High Temp. Res. USSR 7:216 (1969).
D. J. Adams, Mol. Phys. 28:1241 (1974).
D. J. Adams, Mol. Phys. 29:307 (1975).
D. J. Adams, Mol. Phys. 32:647 (1976).
D. J. Adams, Mol. Phys. 37:211 (1979).
L. A. Rowley, D. Nicholson and N. G. Parsonage, J. Comp. Phys. 17:401 (1975).
J. Yao, R. A. Greenkorn and K. C. Chao, Mol. Phys. 46:587 (1982).
M. Mezei, Mol. Phys. 40:901 (1980).
J. P. Valleau and K. L. Cohen, J. Chem. Phys. 72:3935 (1980).
W. van Meegen and I. Snook, J. Chem. Phys. 73:4656 (1980).
M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids, Clarendon, Oxford, 1987.
T.Çağin and B.M. Pettitt, Mol. Phys. 72:169(1991).
A. Z. Panagiotopoulos, Mol. Phys. 61:813 (1987).
A. Z. Panagiotopoulos, N. Quirke, M. Stapleton and D. J. Tildesley, Mol. Phys. 63:527 (1988).
A. Z. Panagiotopoulos, Mol. Phys. 62:701 (1987).
B.Smit, Ph. de Smedt and D.Frenkel, Mol. Phys. 68:931(1989).
D.A.Kofke and E.D.Glandt, Mol. Phys. 64:1105(1988).
M.R.Stapleton, D.J.Tildesley and N.Quirke, J.Chem. Phys. 92:4456(1990).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Frenkel, D. (1991). Lecture Notes on: Free-Energy Calculations. In: Meyer, M., Pontikis, V. (eds) Computer Simulation in Materials Science. NATO ASI Series, vol 205. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3546-7_5
Download citation
DOI: https://doi.org/10.1007/978-94-011-3546-7_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5570-3
Online ISBN: 978-94-011-3546-7
eBook Packages: Springer Book Archive