Inverse Monte Carlo: Difference between revisions
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'''Inverse Monte Carlo''' refers to the numerical techniques to solve the so-called inverse problem in fluids. | |||
so-called inverse problem in fluids. | Given the structural information (distribution functions) the inverse Monte | ||
Carlo technique tries to compute the corresponding interaction potential | Carlo technique tries to compute the corresponding interaction potential | ||
==Uniqueness theorem== | ==Uniqueness theorem== | ||
The uniqueness theorem is due to Henderson (Ref. 3). | The uniqueness theorem is due to Henderson (Ref. 3). | ||
== References == | == References == | ||
#[http://dx.doi.org/10.1103/PhysRevE.68.011202 N. G. Almarza and E. Lomba, "Determination of the interaction potential from the pair distribution function: An inverse Monte Carlo technique", Phys. Rev. E 68, 011202 (2003) (6 pages)] | #[http://dx.doi.org/10.1103/PhysRevE.68.011202 N. G. Almarza and E. Lomba, "Determination of the interaction potential from the pair distribution function: An inverse Monte Carlo technique", Phys. Rev. E 68, 011202 (2003) (6 pages)] | ||
#[http://dx.doi.org/10.1103/PhysRevE.70.021203 N. G. Almarza, E. Lomba, and D. Molina. "Determination of effective pair interactions from the structure factor", Phys. Rev. E 70, 021203 (2004) (5 pages) ] | #[http://dx.doi.org/10.1103/PhysRevE.70.021203 N. G. Almarza, E. Lomba, and D. Molina. "Determination of effective pair interactions from the structure factor", Phys. Rev. E 70, 021203 (2004) (5 pages) ] | ||
#[http://dx.doi.org/10.1016/0375-9601(74)90847-0 R. L. Henderson "A uniqueness theorem for fluid pair correlation functions", Physics Letters A '''49''' pp. 197-198 (1974)] | #[http://dx.doi.org/10.1016/0375-9601(74)90847-0 R. L. Henderson "A uniqueness theorem for fluid pair correlation functions", Physics Letters A '''49''' pp. 197-198 (1974)] | ||
[[category: Monte Carlo]] | |||
Revision as of 15:54, 2 August 2007
Inverse Monte Carlo refers to the numerical techniques to solve the so-called inverse problem in fluids. Given the structural information (distribution functions) the inverse Monte Carlo technique tries to compute the corresponding interaction potential
Uniqueness theorem
The uniqueness theorem is due to Henderson (Ref. 3).
References
- N. G. Almarza and E. Lomba, "Determination of the interaction potential from the pair distribution function: An inverse Monte Carlo technique", Phys. Rev. E 68, 011202 (2003) (6 pages)
- N. G. Almarza, E. Lomba, and D. Molina. "Determination of effective pair interactions from the structure factor", Phys. Rev. E 70, 021203 (2004) (5 pages)
- R. L. Henderson "A uniqueness theorem for fluid pair correlation functions", Physics Letters A 49 pp. 197-198 (1974)