Recent numerical simulations show that many Ly alpha absorption lines
of column densities N-HI less than or similar to 10(15) cm(-2) are pro
duced in transient minipancakes. Such pancakes are modeled here, appro
ximating the initial perturbation leading to the formation of the panc
ake as a single sinusoidal wave. The density and temperature profiles
of the gas in the pancake are determined in the case where cooling and
heating rate of the gas is larger than the Hubble time, which is show
n to hold for z(c) similar to 3, where z(c) is the collapse redshift.
The Ly alpha absorption-line profiles for a line of sight through the
pancake are then calculated. The absorption lines in general have wing
s signifying bulk motions in the gas. It is shown that the deviation f
rom a single Voigt profile is large for small H I column density lines
, in which the effect of bulk motions is large. For lines with N-HI >
10(13) cm(-2), high temperatures tend to wash out the signatures of bu
lk motion. The analytical modeling of minipancakes associated with Ly
alpha forest lines-with 10(13) less than or similar to N-HI less than
or similar to 10(15) cm(-2)-gives the corresponding mass scales. In st
ructure formation models with cold dark matter and with reheated inter
galactic matter (IGM), the gas in the IGM is inhibited from falling in
to dark matter potential wells with very small velocity dispersions. S
tructures with masses larger than this limit (the Jeans mass) can have
an infall of gas and form minipancakes. It is shown here that, for ty
pical values of cosmological parameters, absorption lines with N-HI -
10(14) cm(-2) correspond to structures with baryonic mass M-b similar
to 10(10) M. with an overdensity of similar to 10 at z similar to 3. T
he value of N-HI can change by a factor of similar to 3 in the course
of evolution of the pancake in time. It is also shown that there is an
upper limit to N-HI from a pancake due to the slow recombination rate
and the importance of collisional ionization at high temperatures. Mi
nipancakes do not give rise to Ly alpha lines with N-HI greater than o
r similar to 10(14.5) cm(-2), for a temperature of the IGM of (T) over
bar = 10(4) K, J(-21) = 1, and Omega(IGM) similar to 0.03.