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We present a nonlinear model of self-consistent Galactic halo, where theprocesses of cosmic ray (CR) propagation and excitation/damping of MHD wavesare included. The MHD-turbulence, which prevents CR escape from the Galaxy, isentirely generated by the resonant streaming instability. The key mechanismcontrolling the halo size is the nonlinear Landau (NL) damping, whichsuppresses the amplitude of MHD fluctuations and, thus, makes the halo larger.The equilibrium turbulence spectrum is determined by a balance of CR excitationand NL damping, which sets the regions of diffusive and advective propagationof CRs. The boundary $z_{cr}(E)$ between the two regions is the halo size,which slowly increases with the energy. For the vertical magnetic field of$\sim 1~\mu G$, we estimate $z_{cr} \sim 1$ kpc for GeV protons. The derivedproton spectrum is in a good agreement with observational data.

Formation of the cosmic-ray halo: The role of nonlinear Landau damping