Statistical Description of Electrodiffusion Processes in the Electron Subsystem of a Semibounded Metal within the Generalized “Jellium” Model
DOI:
https://doi.org/10.15407/ujpe56.2.179Keywords:
-Abstract
Based on the calculation of the quasiequilibrium statistical sum by means of the functional integration method, we obtained a nonequilibrium statistical operator for the electron subsystem of a semibounded metal in the framework of the generalized "jellium" model in the Gaussian and higher approximations with respect to the
dynamic electron correlations. This approach allows one to go beyond the linear approximation with respect to the gradient of the electrochemical potential corresponding to weakly nonequilibrium processes and to obtain generalized transport equations that describe nonlinear processes.
References
E. Runge and E.K.U. Gross, Phys. Rev. Lett. 52, 997 (1984).
https://doi.org/10.1103/PhysRevLett.52.997
C.A. Ullrich, U.I. Grossmann, and E.K.U. Gross, Phys. Rev. Lett. 74, 872 (1995).
https://doi.org/10.1103/PhysRevLett.74.872
G. Vignale and W. Kohn, Phys. Rev. Lett. 77, 2037 (1996).
https://doi.org/10.1103/PhysRevLett.77.2037
G. Vignale and C.A. Ullrich, Phys. Rev. Lett. 79, 4878 (1997).
https://doi.org/10.1103/PhysRevLett.79.4878
N.T. Maitra, K. Burke, H. Appel, E.K.U. Gross and R. van Leeuwen, in Reviews in Modern Quantum Chemistry: A Celebration of the Contributions of R.G. Parr, edited by K.D. Sen (World Scientific, Singapore, 2001).
C.A. Ullrich and G. Vignale, arXiv: 0201483 v1 (2002).
N.T. Maitra, K. Burke, and C. Woodward, Phys. Rev. Lett. 89, 023002 (2002).
https://doi.org/10.1103/PhysRevLett.89.023002
G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys. 74, 601 (2002).
https://doi.org/10.1103/RevModPhys.74.601
I.V. Tokatly and O. Pankratov, arXiv: 0209617 (2003).
M.A.L. Marques and E.K.U. Gross, Annu. Rev. Phys. Chem. 55, 427 (2004).
https://doi.org/10.1146/annurev.physchem.55.091602.094449
S. Botti, F. Sottile, N. Vast et al., Phys. Rev. B. 69, 155112 (2004).
https://doi.org/10.1103/PhysRevB.69.155112
M. Dion and K. Burke, Phys. Rev. A 72, 020502(R) (2005).
https://doi.org/10.1103/PhysRevA.72.020502
J. Werschnik, E.K.U. Gross, and K. Burke, arXiv: 0410362 v2 (2005).
J. Schirmer and A. Dreuw, arXiv: 0602020, v1 (2006).
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
https://doi.org/10.1103/PhysRev.136.B864
R.O. Jones and O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).
https://doi.org/10.1103/RevModPhys.61.689
R.M. Dreizler and E.K.U. Gross, Density Functional Theory (Springer, Berlin, 1990).
https://doi.org/10.1007/978-3-642-86105-5
W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).
https://doi.org/10.1103/PhysRev.140.A1133
N.D. Lang and W. Kohn, Phys. Rev. B. 1, 4555 (1970).
https://doi.org/10.1103/PhysRevB.1.4555
A. Equiluz, S.C. Ying, and J.J. Quinn, Phys. Rev. B. 11, 2118 (1975).
https://doi.org/10.1103/PhysRevB.11.2118
A. Equiluz and J.J. Quinn, Phys. Rev. B. 14, 1347 (1978).
https://doi.org/10.1103/PhysRevB.14.1347
A. Equiluz, Phys. Rev. B 19, 1689 (1979).
https://doi.org/10.1103/PhysRevB.19.1689
A. Griffin and E. Zaremba, Phys. Rev. A 8, 486 (1973).
https://doi.org/10.1103/PhysRevA.8.486
P.P. Kostrobii, B.M. Markovych, Yu.K. Rudavskii, and M.V. Tokarchuk, Condens. Matter Phys. 4, 407 (2001).
https://doi.org/10.5488/CMP.4.3.407
P.P. Kostrobii, B.M. Markovych, A.I. Vasylenko, and M.V. Tokarchuk, Ukr. J. Phys. 52, 1096 (2007).
P.P. Kostrobii, M.V. Tokarchuk, B.M. Markovych, V.V. Ignatyuk, and B.V. Gnativ, Reaction-Diffusion Processes in "Metal-Gas" Systems (Lviv Polytechnic National University, Lviv, 2009) (in Ukrainian).
D.N. Zubarev, in Reviews of Science and Technology. Modern Problems of Mathematics 15, 131 (VINITI, Moscow, 1980) (in Russian).
D. Zubarev, V. Morozov, and G. R¨opke, Statistical Mechanics of Nonequilibrium Processes (Akademie-Verlag, Berlin, 1996).
P.P. Kostrobii and B.M. Markovych, Zh. Fiz. Dosl. 7, 195 (2003).
https://doi.org/10.30970/jps.07.195
P.P. Kostrobii and B.M. Markovych, Zh. Fiz. Dosl. 7, 298 (2003).
https://doi.org/10.30970/jps.07.298
N.D. Lang and W. Kohn, Phys. Rev. B 3, 1215 (1971).
https://doi.org/10.1103/PhysRevB.3.1215
C. Fiolhais, C. Henriques, I. Sarr'ia, and J.M. Pitarke, Prog. Surf. Sci. 67, 285 (2001).
J.H. Rose and J.F. Dobson, Solid State Comm. 37, 91 (1981).
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