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Empirical basis for car-following theory development | | Peter Wagner
; Ihor Lubashevsky
; | | Date: |
9 Nov 2003 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | By analyzing data from a car-following experiment, it is shown that drivers control their car by a simple scheme. The acceleration $a(t)$ is held approximately constant for a certain time interval, followed by a jump to a new acceleration. These jumps seem to include a deterministic and a random component; the time $T$ between subsequent jumps is random, too. This leads to a dynamic, that never reaches a fixed-point ($a(t) o 0$ and velocity difference to the car in front $Delta v o 0$) of the car-following dynamics. The existence of such a fixed-point is predicted by most of the existing car-following theories. Nevertheless, the phase-space distribution is clustered strongly at $Delta v=0$. Here, the probability distribution in $Delta v$ is (for small and medium distances $Delta x$ between the cars) described by $p(Delta v) propto exp(-|Delta v|/Delta v_0)$ indicating a dynamic that attracts cars to the region with small speed differences. The corresponding distances $Delta x$ between the cars vary strongly. This variation might be a possible reason for the much-discussed widely scattered states found in highway traffic. | | Source: | arXiv, cond-mat/0311192 | | Services: | Forum | Review | PDF | Favorites | |
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