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@article{MM_2015_27_12_a5, author = {M. G. Usatova and R. A. Kozlitin and V. N. Udodov}, title = {Mixed problem in the one-dimensional percolation theory for finite systems}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {88--95}, publisher = {mathdoc}, volume = {27}, number = {12}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2015_27_12_a5/} }
TY - JOUR AU - M. G. Usatova AU - R. A. Kozlitin AU - V. N. Udodov TI - Mixed problem in the one-dimensional percolation theory for finite systems JO - Matematičeskoe modelirovanie PY - 2015 SP - 88 EP - 95 VL - 27 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2015_27_12_a5/ LA - ru ID - MM_2015_27_12_a5 ER -
M. G. Usatova; R. A. Kozlitin; V. N. Udodov. Mixed problem in the one-dimensional percolation theory for finite systems. Matematičeskoe modelirovanie, Tome 27 (2015) no. 12, pp. 88-95. http://geodesic.mathdoc.fr/item/MM_2015_27_12_a5/
[1] J. Hicks, A. Behnam, A. Ural, “Resistivity in percolation networks of one-dimensional elements with a length distribution”, Phys. Rev. E, 79 (2009), 012102, 4 pp. | DOI
[2] D. V. Spirin, V. N. Udodov, A. I. Potekaev, “Nemagnitnye primesi i percoliatsionnye effekty v odnomernom izingovskom magnetike”, Izvestiia vuzov. Fizika, 2009, no. 9, 145–150
[3] M. A. Bureeva, T. V. Volkova, V. N. Udodov, A. I. Potekaev, “The bond problem in a onedimensional percolation theory for finite systems”, Russian physics journal, 53:2 (2010), 140–147 | DOI | MR
[4] M. A. Bureeva, V. N. Udodov, “Modelirovanie zadachi sviazei odnomernoi teorii percoliatsii na neorientirovannom grafe”, Matematicheskoe modelirovanie, 24:11 (2012), 72–82 | MR
[5] R. A. Kozlitin, V. N. Udodov, M. G. Usatova, “Kriticheskii indeks teploemkosti v smeshannoi zadache dlia odnomernykh sistem”, Modelirovanie neravnovesnykh sistem-2012, Materialy 15-go Vserossiiskogo seminara (5–7 oktiabria 2012 g.), IVM SO RAN, Krasnoiarsk, 79–82
[6] A. A. Popov, V. N. Udodov, A. I. Potekaev, “Special features of polytype transformations under changing external shear stress and temperature”, Russian Physics Journal, 42:9 (1999), 853–859 | DOI
[7] M. V. Martynenko, V. N. Udodov, A. I. Potekaev, “Anomalous diffusion in a model with a variable percolation radius”, Russian Physics Journal, 43:10 (2000), 867–870 | DOI
[8] H. Kesten, Percolation Theory for Mathematicians, Birkhauser, Boston, 1982, 423 pp. | MR | MR | Zbl
[9] G. Grimmet, Percolation, Springer-Verlag, Berlin, 1999, 419 pp. | MR | Zbl
[10] A. L. Efros, Fizika i geometriia besporiadka, Nauka. Glavnaia redaktsiia fiziko-matematicheskoi literatury, M., 1982, 167 pp. | MR
[11] Iu. Iu. Tarasevich, Perkoliatsiia: teoriia, prilozheniia, algoritmy, Editorial URSS, M., 2002, 112 pp.
[12] B. I. Shklovskii, A. L. Efros, Elektronnye svoistva legirovannykh poluprovodnikov, Nauka. Glavnaia redaktsiia fiziko-matematicheskoi literatury, M., 1979, 416 pp.
[13] V. A. Ivanskoi, “Approaches of the Percolation Theory and the Free Energy of Dislocation Clusters”, Technical Physics, 53:4 (2008), 455–461 | DOI | Zbl
[14] V. V. Cherkasova, Iu. Iu. Tarasevich, “Orientirovannaia perkoloatsiia dimerov na prostoi kubicheskoi reshetke”, Matematicheskoe modelirovanie, 21:9 (2009), 100–107 | Zbl
[15] V. E. Arkhincheev, E. M. Baskin, “Anomalous diffusion and drift in a comb model of percolation clusters”, JETP, 73:1 (1991), 161–165
[16] S. R. Galliamov, S. A. Melchukov, “O kriticheskikh indeksakh v trekhmernoi perkoliatsii v zadachakh uzlov i tverdyh sfer”, Vestnik Udmurtskogo universiteta, 2010, no. 2, 67–79
[17] A. B. Harris, “Effect of random defects on the critical behaviour of Ising models”, J. Phys. C, 7:6 (1974), 1671–1692 | DOI
[18] L. D. Landau, E. M. Lifshitz, Theoretical physics, Part 1, v. 5, Statistical physics, 3ed., Pergamon, 1980 | MR