Abstract
We have studied the optimal velocity model (Bando et al., Jpn J Indust Appl Math 11:203, 1994; Phys Rev E 51:1035, 1995; J Phys I Fr 5:1389, 1995) for highway traffic. On a microscopic level, traffic flow is described by Bando’s optimal velocity model in terms of accelerating and decelerating forces. We define an intrinsic energy of the model. We find a latent heat when the system undergoes a phase transition from single phase traffic (free flow) to a phase that contains two different, a dense and a dilute phase (congested or stop–and–go flow). Here we report on properties of the latent heat.
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References
M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama: Japan J. Indust. and Appl. Math. 11, 203, 1994; Phys. Rev. E 51, 1035, (1995)
M. Bando, K. Hasebe, K. Nakanishi, A. Nakayama, A. Shibata, Y. Sugiyama: J. Phys. I France 5, 1389, (1995)
R. Mahnke, J. Kaupužs, J. Hinkel, H. Weber: Eur. Phys. J. B 57 463–471, (2007)
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Weber, H., Mahnke, R. (2013). Latent Heat of a Traffic Model. In: Kozlov, V., Buslaev, A., Bugaev, A., Yashina, M., Schadschneider, A., Schreckenberg, M. (eds) Traffic and Granular Flow '11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39669-4_6
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DOI: https://doi.org/10.1007/978-3-642-39669-4_6
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