  We study the contribution of temperature-dependent chiral vortical effect to
the generation and evolution of the hypermagnetic fields and the
matter-antimatter asymmetries, in the symmetric phase of the early Universe, in
the temperature range $100\mbox{GeV} \le T\le 10\mbox{TeV}$. Our most important
result is that, due to the chiral vortical effect, small overlapping transient
fluctuations in the vorticity field in the plasma and temperature of matter
degrees of freedom can lead to the generation of strong hypermagnetic fields
and matter-antimatter asymmetries, all starting from zero initial values. We
show that, either an increase in the amplitudes of the fluctuations of
vorticity or temperature, or a decrease in their widths, leads to the
production of stronger hypermagnetic fields, and therefore, larger
matter-antimatter asymmetries. We have the interesting result that fluctuating
vorticity fields are more productive, by many orders of magnitude, as compared
to vorticities that are constant in time.
