Abstract
We have considered phase separation processes in binary stochastic systems with thermal diffusion and ballistic mixing representing irradiation influence. Introducing fluctuations of thermal flux and an external source of atom relocations due to ballistic diffusion into dynamics of a globally conserved field, we have shown that there are two competing mechanisms of phase transitions type of “order-disorder”: thermally assisted diffusion and irradiation induced atomic exchange. We have studied dynamics of the structure function at early stages of decomposition. In the framework of the mean field theory we have derived the effective Fokker-Planck equation to describe phase separation processes. It was shown that the ordering processes can be controlled by both regular and stochastic parts of external source influence. A reentrant behavior of a mean field order parameter versus the external noise intensity and fluctuations correlation radius is found.
Similar content being viewed by others
References
S. Siegel, Phys. Rev. 75, 1823 (1949)
E.M. Schulson, JNM 83, 239 (1979)
K.C. Russel, Progr. Mat. Sci. 28, 229 (1984)
H. Bernas, J.P. Attane, K.H. Heinig, D. Halley, D. Ravelosona, A. Marty, P. Auric, C. Chappert, Y. Samson, Phys. Rev. Lett. 91, 077203 (2003)
L. Wei, Y.S. Lee, R.S. Averback, C.P. Flynn, Phys. Rev. Lett. 84, 6046 (2000)
Y.S. Lee, C.P. Flynn, R.S. Averback, Phys. Rev. B 60, 881 (1999)
R.A. Johnson, A.N. Orlov, Physics of Radiation Effects in Crystals (Elsevier Science Publishers B.V., Amsterdam, 1986)
W. Jager, P. Ehrhart, W. Schilling, Rad. Eff. 113, 201 (1990)
M. Griffiths, JNM 159, 190 (1988)
M. Griffiths, D. Faulkner, R.C. Styles, JNM 119, 189 (1983)
J.H. Evans, Nature 229, 403 (1971)
K. Krishan, Rad. Eff. 66, 121 (1982)
B.A. Loomis, S.B. Gerber, A. Taylor, JNM 68, 19 (1977)
P.B. Johnson, Fundamental Aspects of Inert Gases in Solids (Plenum, New York, 1991)
H.L. Heinisch, B.N. Singh, Phil. Mag. 83, 3661 (2003)
G. Martin, Phys. Rev. B 30, 1424 (1984)
G. Martin, P. Bellon, Solid State Phys. 50, 189 (1997)
V.G. Vaks, V.V. Kamyshenko, Phys. Lett. A 177, 269 (1993)
S. Matsumara, Y. Tanaka, S. Müller, C. Abromeit, J. Nuc. Instr. 239, 42 (1996)
R. Enrique, P. Bellon, Phys. Rev. B 60, 14649 (1999)
R. Enrique, P. Bellon, Phys. Rev. Lett. 84, 2885 (2000)
Ji-wen Liu, P. Bellon, Phys. Rev. B 66, R020303 (2002)
R. Enrique, P. Bellon, Phys. Rev. B 70, 224106 (2004)
D.Y. Li, L.Q. Chen, Acta mater 46, 2573 (1998)
C. Abromeit, S. Matsumara, Phyl. Mag. A 82, 2287 (2002)
J. Ye, P. Bellon, Phys. Rev. B 70, 094104 (2004)
J. Ye, P. Bellon, Phys. Rev. B 70, 094105 (2004)
J. Wallenius, P. Olsson, L. Malerba, D. Terentyev, NIM B 225, 68 (2007)
V.I. Dubinko, A.V. Tur, V.V. Yanovsky, Rad. Eff. 112, 233 (1990)
G. Martin, Phys. Rev. B 41, 2279 (1990)
E.A. Novikov, Sov. Phys. JETP 20, 1290 (1965)
J. Garcia-Ojalvo, J.M. Sancho, Noise in Spatially Extended Systems (Springer-Verlag, New York, 1999)
K. Binder, in Synergetics (Mir, Moscow, 1984) (in Rusian)
M. Ibanes, J. Garcia-Ojalvo, R. Toral, J.M. Sancho, Lecture Notes in Physics, edited by J.A. Freund, T. Poschel (Springer-Verlag, Berlin, 2000), Vol. 557, pp. 247-256
Q. Bronchart, Y. Le Bouar, A. Finel, Phys. Rev. Lett. 100, 015702 (2008)
M. Ibanes, J. Garcia-Ojalvo, R. Toral, J.M. Sancho, Phys. Rev. E 60, 3597 (1999)
J. Garcia-Ojalvo, A.M. Lacasta, J.M. Sancho, R. Toral, Europhys. Lett. 42, 125 (1998)
M. Ibanes, J. Garcia-Ojalvo, R. Toral, J.M. Sancho, Phys. Rev. Lett. 87, 020601 (2001)
D.O. Kharchenko, A.V. Dvornichenko, Physica A 387, 5342 (2008)
J.D. Gunton, M. San Miguel, P.S. Sahni, in Phase Transtions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, New York, 1983)
I.M. Lifshitz, V.V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kharchenko, D., Lysenko, I. & Kokhan, S. Phase separation in binary systems with competing internal and external multiplicative noises. Eur. Phys. J. B 76, 37–48 (2010). https://doi.org/10.1140/epjb/e2010-00172-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2010-00172-8