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\begin{center}
\textbf{\large THE BELIAEV-BUDKER KINETIC EQUATION IN PARTON PLASMA
PRE-EQUILIBRIUM EVOLUTION}

\vspace{0.3cm} S.M.Schmidt$^{1}$, D.V.Vinnik$^1$,\\
V.V.Skokov$^2$, S.A.Smoljansky$^3\dagger$, and D.V.Toneev$^2$,

\vspace{0.3cm} \textit{ (1) Institut f\"ur Theoretische Physik,
Auf der Morgenstelle 14,
Universit\"at T\"ubingen, D-72076 T\"ubingen, Germany\\
(2) Bogoliubov Laboratory of Theoretical Physics\\
Joint Institute for Nuclear Research, Dubna, Russia\\
(3) Physics Department, Saratov State University, Saratov, Russia\\
$\dagger$ E-mail: smol@sgu.ru}
\end{center}

\vspace{0.5cm} We study pre-equilibrium evolution of the parton
plasma in the FTM framework  on the basis of kinetic equation
$f'=S+C$, where $S$ is the source term \cite{1} describing the
process of vacuum creation and annigilation of light quarks (q) or
gluons (g) under action of a strong quasiclassical time-dependent
background (chromo)-electric field (in the maximal Abelian
approximation), and $C$ is the Beliaev-Budker collision integral
\cite{2} written down with quantum statistic inclusion. In this
work we show: \begin{itemize}
\item The one-component g-system
evolution demonstrates very slow tendency of equilibrium due to,
on the one hand, presence of high-frequency components in the
strong non-equilibrium g-distribution function and, on the other
hand, a little momentum transfer in a single scattering act.
\item Scattering effectiveness is raised strongly as a result of
the inclusion of additional qg- scattering mechanism. However it
is not enough for achievement of the relaxation time $\sim 1\,
fm$, which is the typical one for the conditions of heavy ions
collisions. To achieve quality agreement we increase "Coulomb's
logarithm" value in a few times. Apparently, this phenomenological
elements may be excluded by means of dynamical taking account of
some other essential features of relaxation dynamics in a dense
QGP such as multiple scattering, inelastic processes and so on.
\end{itemize}

\begin{thebibliography}{10}
\bibitem{1} S.A.\ Smolyansky {\it et al.}, hep-ph/9712377; J. C. Bloch, V. A. Mizerny, A.V.~Prozorkevich,
C. D.~Roberts, S.M.~Schmidt, S.A.~Smolyansky and D.~V.~Vinnik,
Phys. Rev. {\bf D60}, 1160011 (1999); D.V. Vinnik, A.V.
Prozorkevich, S.A. Smolyansky, V. Toneev, M.B. Hecht, C.D.
Roberts, and S.M. Schmidt {\em Eur. Phys. J.}, {\bf c22}, 341-349,
(2001).

\bibitem{2} E.M.Lifshitz and L.P.Pitaevsky, {\em Physical Kinetics}, (Pergamon Press
1981).
\end{thebibliography}

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