We study the Lyapunov instability of a three-dimensional fluid composed of
rigid diatomic molecules by molecular dynamics simulation. We use center-of
-mass coordinates and angular variables for the configurational space varia
bles. The spectra of Lyapunov exponents are obtained for 32 rigid diatomic
molecules interacting through the Weeks-Chandler-Andersen potential for var
ious bond lengths and densities. We show the general trends and characteris
tic features of the spectra of the Lyapunov exponents, and discuss the diff
erent contributions between translational and rotational degrees of freedom
depending on the density and the bond length from the calculation of the p
rojection of a certain subspace of the tangent space vectors.