Time-dependent Ginzburg–Landau equation for the jamming transition in traffic flow

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 1998, vol. 258, issue 1, 237-242

Abstract: We present the thermodynamic theory describing the phase transition and critical phenomenon in traffic flow. We derive the time-dependent Ginzburg–Landau (TDGL) equation through the modified Korteweg–de Vries (KdV) equation from the car following model, using the perturbation method. We find the thermodynamic potential for the jamming transition. It is shown that the coexisting and spinodal lines are obtained, respectively, from the first and second derivatives of the potential. We prove that the jamming transition is the first-order phase transition below the critical point and metastability exists between the coexisting and spinodal lines.

Keywords: Traffic flow; Phase transition; Critical phenomenon; Ginzburg–Landau equation (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:258:y:1998:i:1:p:237-242

DOI: 10.1016/S0378-4371(98)00211-8

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