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Physical Review E
The emergence of chaotic motion is discussed for hard-point like and soft collisions between two particles in a one-dimensional box. It is known that ergodicity may be obtained in hard-point like collisions for specific mass ratios γ=m2/m1 of the two particles and that Lyapunov exponents are zero. However, if a Yukawa interaction between the particles is introduced, we show analytically that positive Lyapunov exponents are generated due to double collisions close to the walls. While the largestdoi:10.1103/physreve.76.056203 pmid:18233735 fatcat:lewqo4zgw5furoeelc5apwkj2e