Abstract
The name of the Monte Carlo method is inspired by the gambling casinos at the city of Monte Carlo in Monaco. The mathematical techniques used by this method are in fact based on the selection of random numbers [1–4]. In its present form, the method is attributed to Fermi, Von Neumann, and Ulam, who developed it for the solution of problems related to neutron transport during the secret research at Los Alamos for the construction of the atomic bomb during world war II. There are, however, indications of previous uses of methods based on selections of random numbers. In particular the name of Lord Kelvin is mentioned for a paper of 1901 [5], and Gosset (better known with the pseudonym Student) used experimental sampling to support his well known theoretical studies of statistical distributions. Fermi himself used already Monte Carlo techniques in the 30′s in connection with neutron transport [6].
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References
Hammersley, J. M., Handscomb, D. C.: Monte Carlo Methods. London: Methuen. 1964
Shreider, Yu. A. (ed.): The Monte Carlo Method. Oxford: Pergamon. 1966.
Rubinstein, R. Y.: Simulation and the Monte Carlo Method. New York: Wiley. 1981.
Spanier, J., Gelbard, M.: Monte Carlo Principles and Neutron Transport Problems. Reading, Mass.: Addison-Wesley. 1969.
Lord Kelvin: Phil. Mag. (6) 2, 1 (1901).
Anderson, H. L.: J. Stat. Phys. 43, 731 (1986).
Kurosawa, T.: Proa, 8th Int. Conf. Phys. Semic., Kyoto. J. Phys. Soc. Japan, Suppl. 24, 424 (1966).
Lüthi, B, Wyder, P.: Helv. Phys. Acta 33, 667 (1960).
Alberigi-Quaranta, A., Jacoboni, C, Ottaviani, G.: La Rivista del Nuovo Cimento 1, 445 (1971).
Jacoboni, C., Reggiani, L.: Advances in Physics 28, 493 (1979).
Price, P. J.: Semiconductors and Semimetals 14, 249 (1979).
Jacoboni, C, Reggiani, L.: Rev. Mod. Phys. 55, 645 (1983).
Price, P. J.: In: Proa, 9th Int. Conf. Phys. Semic. (Ryukin, S. M., ed.), p. 753. Leningrad: Nauka. 1968.
Rees, H. D.: Phys. Lett. a26, 416, (1968).
Rees, H. D.: J. Phys. Chem. Solids 30, 643 (1969).
Fawcett, W., Hilsum, G, Rees, H. D.: Solid State Commun. 7, 1257 (1969).
Fawcett, W., Boardman, D. A., Swain, S.: J. Phys. Chem. Solids 31, 1963 (1970).
Fawcett, W., Rees, H. D.: Phys. Lett. 11, 731 (1969).
Fawcett, W.: In: Electrons in Crystalline Solids (Salam, A., ed.), p. 531. Vienna: IAEA. 1973.
Lebwohl, P. A., Price, P. J.: Solid State Commun. 9, 1221 (1971)
Lebwohl, P. A., Price, P. J.: Appl. Phys. Lett. 19, 530(1971).
Price, P. J.: IBM J. Res. Dev. 17, 39 (1973).
Bosi, S., Jacoboni, C: J. Phys. C9, 315 (1976).
Lugli, P., Ferry, D. K.: IEEE Trans. Electron Dev. ED-32, 2431 (1985).
Hockney, R. W., Warriner, R. A., Reiser, M.: Electron. Lett. 10, 484 (1974).
Baccarani, G., Jacoboni, C, Mazzone, A. M.: Solid State Electr. 20, 5 (1977).
Lugli, P., Jacoboni, C: In: ESSDERC 87, Proa, 17th European Solid State Device Research Conference (Calzolari, P. U., Soncini, G., eds.), p. 97 and references therein. Bologna: Tecnoprint. 1987.
Sze, S. M.: Physics of Semiconductor Devices, 2nd edn. New York: Wiley. 1982.
Solomon, P.: Proc. IEEE 70, 489 (1982).
IEEE J. Quantum Electronics QE-22, n. 9 (1986), special issue on semiconductor quantum wells and superlattices: physics and applications.
Selberherr, S.: Analysis and Simulation of Semiconductor Devices. Wien-New York: Springer. 1984.
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Jacoboni, C., Lugli, P. (1989). Introduction. In: The Monte Carlo Method for Semiconductor Device Simulation. Computational Microelectronics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6963-6_1
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