Additivity conjecture for colliding jamiton lengths

Let two jamitons collide, and denote their lengths before collision by LL and LtestL_{\mathrm{test}}, and the length of the resulting jamiton by LcolL_{\mathrm{col}}. Jamiton-length additivity conjecture. The length of the jamiton after colliding corresponds to the sum of the lengths of the colliding jamitons, that is, Lcol=L+LtestL_{\mathrm{col}}=L+L_{\mathrm{test}}. Numerical simulations show a small normalized discrepancy, particularly for τ=5\tau=5, and the source suggests that the remaining differences may be numerical errors; an exact additivity result is not established.

Sources & referencesView supporting material

Primary source

Raimund Bürger, Claudio Muñoz and Sebastián Tapia, “Interaction of jamitons in second-order macroscopic traffic models”, arXiv:2412.03721 (2024).

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