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ISDEP: integrator of stochastic differential equations for plasmas. (English) Zbl 1302.82005
Summary: In this paper we present a general description of the ISDEP code (Integrator of Stochastic Differential Equations for Plasmas) and a brief overview of its physical results and applications so far. ISDEP is a Monte Carlo code that calculates the distribution function of a minority population of ions in a magnetized plasma. It solves the ion equations of motion taking into account the complex 3D structure of fusion devices, the confining electromagnetic field and collisions with other plasma species. The Monte Carlo method used is based on the equivalence between the Fokker-Planck and Langevin equations. This allows ISDEP to run in distributed computing platforms without communication between nodes with almost linear scaling. This paper intends to be a general description and a reference paper in ISDEP.

82-04 Software, source code, etc. for problems pertaining to statistical mechanics
82-08 Computational methods (statistical mechanics) (MSC2010)
82D10 Statistical mechanical studies of plasmas
82C70 Transport processes in time-dependent statistical mechanics
35R60 PDEs with randomness, stochastic partial differential equations
Full Text: DOI
[1] Boozer, A.H., Reviews of modern physics, 76, 1071, (2005)
[2] Kloeden, P.E.; Platen, E., Numerical solution of stochastic differential equations, (1992), Springer-Verlag Berlin, New York · Zbl 0925.65261
[3] Helander, P.; Sigmar, D.J., Collisional transport in magnetized plasmas, (2001), Cambridge University Press Cambridge · Zbl 1044.76001
[4] Goldston, R.J.; Rutherford, P.H., Introduction to plasma physics, (1995), Taylor and Francis London
[5] Castejón, F., Plasma physics and controlled fusion, 49, 753, (2007)
[6] Boozer, A.H.; Kuo-Petravic, G., Physics of fluids, 24, 5, 851, (1981) · Zbl 0469.76094
[7] Chen, T.S., A general form of the Coulomb scattering operators for Monte Carlo simulations and a note on the guiding center equations in different magnetic coordinate conventions, vols. 0/50, (1988), Max Planck Institute für Plasmaphisik Germany
[9] A. Teubel, J. Guasp, M. Liniers, Monte Carlo simulations of NBI into the TJ-II helical axis stellarator, Max-Plank Institut für Plasmaphysik, Garching, Germany, Tech. Rep. 4/268, 1994.
[10] Parisi, G.; Rapuano, F., Physics letters B, 157, 301-302, (1985)
[11] Bustos, A., Nuclear fusion, 50, 125007, (2010)
[12] Amit, D.; Martin-Mayor, V., Field theory, the renormalization group and critical phenomena, (2005), World Scientific Publishing Singapore
[13] Castejón, F.; Eguilior, S., Plasma physics and controlled fusion, 45, 159, (2003)
[14] Murakami, S., Nuclear fusion, 46, S425, (2006)
[15] Castejón, F., Computing and informatics, 27, 261, (2008)
[17] D. Benito, et al., Proceedings for 2008 Ibergrid Meeting, Porto, Portugal, 2008, p. 273. www.ibercivis.net.
[19] Alejaldre, C., Fusion technology, 17, 131, (1990)
[20] Velasco, J., Nuclear fusion, 48, 065008, (2008)
[21] Velasco, J.; Castejón, F.; Tarancón, A., Physics of plasmas, 16, 052303, (2009)
[22] Castejón, F., Nuclear fusion, 49, 085019, (2009)
[23] R. Mangi, EPS—33rd Plasma Phys. Conference, Rome, Italy, 2005.
[24] Shimada, M., Nuclear fusion, 47, S1, (2007)
[25] Seki, R., Plasmas and fusion research, 5, 014, (2010)
[26] Komori, A., Fusion science and technology, 58, 1, 1, (2010)
[27] Bustos, A., Nuclear fusion, 51, 083040, (2011)
[28] Murakami, S.; Nakajima, N.; Okamoto, M., Fusion technology, 27, 256, (1995)
[29] R. Balbin, et al., EPS 2005 Meeting, Tarragona, Spain, D5.001, 2005.
[30] Osakabe, M., Plasma and fusion research, 5, (2010)
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