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The Lyapunov spectrum corresponding to a periodic orbit for a two dimensionalmany particle system with hard core interactions is discussed. Noting that thematrix to describe the tangent space dynamics has the block cyclic structure,the calculation of the Lyapunov spectrum is attributed to the eigenvalueproblem of a 16x16 reduced matrices regardless of the number of particles. Weshow that there is the thermodynamic limit of the Lyapunov spectrum in thisperiodic orbit. The Lyapunov spectrum has a step structure, which is explainedby using symmetries of the reduced matrices.Comment: 16 pages, 4 incorporated postscript figure

Lyapunov spectra of periodic orbits for a many-particle system