We develop a theoretical description of the disordered composite-fermion (C
F) metal, which shows that the Drude-like picture of the CF kinetics is onl
y marginally valid at nu = 1/2 and becomes totally inadequate at small (\nu
- 1/2\ << 1) deviations from half-filling. We argue that the major effect
of disorder is the quasiclassical localization of CFs in a random magnetic
field (RMF) and discuss its implications for transport measurements. We stu
dy the transport properties of fermions in a smoothly varying RMF with mean
(B) over bar. We calculate the conductivity at strong disorder and zero B,
when the transport is governed by percolating 'snake states'. We demonstra
te that at high (B) over bar the conductivity is due to the exponentially w
eak non-adiabatic scattering processes. We argue that the classical localiz
ation yields a strong enhancement of the magnetooscillations. (C) 1998 Else
vier Science B.V. All rights reserved.