Computing the Helmholtz energy function of solids: Difference between revisions
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The procedure (See Refererences | The procedure (See Refererences 3 and 4) is based on the techniques of [[thermodynamic integration]]. | ||
The usual implementations derive from the paper by Frenkel and Ladd (See Ref. | The usual implementations derive from the paper by Frenkel and Ladd (See Ref.3) which makes use of the [[Einstein crystal]]. | ||
Recently, a more effeicient formalism has been developed by N. G. Almarza (see Ref. 5). | |||
==See also== | |||
*[[Entropy of ice phases]] | |||
== References == | == References == | ||
#[http://dx.doi.org/10.1063/1.1701730 William G. Hoover and Francis H. Ree "Use of Computer Experiments to Locate the Melting Transition and Calculate the Entropy in the Solid Phase", Journal of Chemical Physics '''47''' pp. 4873-4878 (1967)] | |||
#[http://dx.doi.org/10.1063/1.1670641 William G. Hoover and Francis H. Ree "Melting Transition and Communal Entropy for Hard Spheres", Journal of Chemical Physics '''49''' pp. 3609-3617 (1968)] | |||
#[http://dx.doi.org/10.1063/1.448024 Daan Frenkel and Anthony J. C. Ladd, "New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres", Journal of Chemical Physics '''81''' pp. 3188-3193 (1984)] | #[http://dx.doi.org/10.1063/1.448024 Daan Frenkel and Anthony J. C. Ladd, "New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres", Journal of Chemical Physics '''81''' pp. 3188-3193 (1984)] | ||
#[http://dx.doi.org/10.1063/1.481102 J. M. Polson, E. Trizac, S. Pronk, and D. Frenkel, "Finite-size corrections to the free energies of crystalline solids", The Journal of Chemical Physics 112, pp. 5339-5342 (2000)] | #[http://dx.doi.org/10.1063/1.481102 J. M. Polson, E. Trizac, S. Pronk, and D. Frenkel, "Finite-size corrections to the free energies of crystalline solids", The Journal of Chemical Physics 112, pp. 5339-5342 (2000)] | ||
#[http://dx.doi.org/10.1063/1.2746231 N. G. Almarza, "Computation of the free energy of solids", Journal of Chemical Physics '''126''', pp 211103-1/3 (2007)] | #[http://dx.doi.org/10.1063/1.2746231 N. G. Almarza, "Computation of the free energy of solids", Journal of Chemical Physics '''126''', pp 211103-1/3 (2007)] | ||
[[Category: Monte Carlo]] | [[Category: Monte Carlo]] | ||
Revision as of 11:28, 7 June 2007
The procedure (See Refererences 3 and 4) is based on the techniques of thermodynamic integration. The usual implementations derive from the paper by Frenkel and Ladd (See Ref.3) which makes use of the Einstein crystal. Recently, a more effeicient formalism has been developed by N. G. Almarza (see Ref. 5).
See also
References
- William G. Hoover and Francis H. Ree "Use of Computer Experiments to Locate the Melting Transition and Calculate the Entropy in the Solid Phase", Journal of Chemical Physics 47 pp. 4873-4878 (1967)
- William G. Hoover and Francis H. Ree "Melting Transition and Communal Entropy for Hard Spheres", Journal of Chemical Physics 49 pp. 3609-3617 (1968)
- Daan Frenkel and Anthony J. C. Ladd, "New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres", Journal of Chemical Physics 81 pp. 3188-3193 (1984)
- J. M. Polson, E. Trizac, S. Pronk, and D. Frenkel, "Finite-size corrections to the free energies of crystalline solids", The Journal of Chemical Physics 112, pp. 5339-5342 (2000)
- N. G. Almarza, "Computation of the free energy of solids", Journal of Chemical Physics 126, pp 211103-1/3 (2007)