Spontaneous jamming in one-dimensional systems

Europhysics Letters

Volumn 42, Issue 2, 1998, Pages 137-142

  O'Loan, O J ^a   Evans, M R ^a   Cates, M E ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032521953     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1998-00219-7     Document Type: Article

References (25)

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13. i to be binary, this does not to forbid the presence of more than one passenger at a site; we merely require that the extra passengers have no further effect on the dynamics.
14. This is because the interchange of a fast-moving bus with a slower-moving bus in front also interchanges their velocities. This contrasts sharply with Id models where jamming is induced by quenched disorder [5].
15. The relevance of the BRM to real buses is discussed further in [11].
16. In an exact mapping from the dual model to the BRM, a particle attempts to hop to the left when the site to its left is updated. However, a more natural dynamics with no significant difference in behaviour is to update only particles [11].
17. Note that this violates Galilean invariance, requiring a pipe or some other fixed reference frame to be present.
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19. The variance of the noise should strictly depend on β but since we are primarily interested in the effect of λ on the dynamics of the gap, we ignore this dependence.
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21. The MFM is an example of a zero-range process for which the steady state is given by a product measure.
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