Variations in the electron pressure can produce significant distortion
s of the CMBR spectrum through the Sunyaev-Zel'dovich effect. In this
paper, we compute the amplitude of these distortions in various cosmol
ogical scenarios using the results of hydrodynamical simulations combi
ned with analytic theory. For reionized CDM with h = 0.5 probed with t
he OVRO experiment (Theta approximate to 0.1 degrees), we find that th
e amplitude of these fluctuations is (Delta T/T)(rms) = 1 x 10(-5)(Ome
ga(i)/0.06) if the experiment looks at a random part of the sky and 6
x 10(-6)(Omega(i)/0.06) if bright areas are avoided. Here Omega(i) is
the density of ionized baryons in units of the critical density, rho(c
) = 2.78 x 10(11)h(2) Mpc(-3). Primary fluctuations would generate (De
lta T/T)(rms) x 2 x 10(-6) for this model. These distortions could be
a dominant source of cosmic microwave background radiation (CMBR) anis
otropies on small and intermediate angular scales. It is important to
note that these signals are generated relatively recently, when nonlin
ear effects are important, and do not require early reionization. We a
lso examine the contribution to anisotropies from the Doppler effect,
in both the linear and nonlinear regimes. In this case, the bulk of th
e signal is generated before a redshift of 10, provided that the inter
cluster medium is ionized back to the surface of last scattering. On t
he smallest scales thermal effects are bigger, while, on larger scales
the Doppler-induced fluctuations are greater with the exact boundary
determined by the scenario. However, over a wide range of scales, the
two signals are equal to within a factor of a few.