  A statistical study of finite Larmor radius (FLR) effects on transport driven
by electrostatic drift-waves is presented. The study is based on a reduced
discrete Hamiltonian dynamical system known as the gyro-averaged standard map
(GSM). In this system, FLR effects are incorporated through the gyro-averaging
of a simplified weak-turbulence model of electrostatic fluctuations. Formally,
the GSM is a modified version of the standard map in which the perturbation
amplitude, $K_0$, becomes $K_0 J_0(\hat{\rho})$, where $J_0$ is the
zeroth-order Bessel function and $\hat{\rho}$ is the Larmor radius. Assuming a
Maxwellian probability density function (pdf) for $\hat{\rho}$, we compute
analytically and numerically the pdf and the cumulative distribution function
of the effective drift-wave perturbation amplitude $K_0 J_0(\hat{\rho})$. Using
these results we compute the probability of loss of confinement (i.e., global
chaos), $P_{c}$, and the probability of trapping in the main drift-wave
resonance, $P_{t}$. It is shown that $P_{c}$ provides an upper bound for the
escape rate, and that $P_{t}$ provides a good estimate of the particle trapping
rate. The analytical results are compared with direct numerical Monte-Carlo
simulations of particle transport.
