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Spring-block model for a single-lane highway traffic

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Járai-Szabó F., Sándor B., Néda Z.

Open Physics

2011

vol. 9

issue 4

1002-1009

A simple one-dimensional spring-block chain with asymmetric interactions is considered to model an idealized single-lane highway traffic. The main elements of the system are blocks (modeling cars), springs with unidirectional interactions (modeling distance-keeping interactions between neighbors), static and kinetic friction (modeling inertia of drivers and cars) and spatiotemporal disorder in the values of these friction forces (modeling differences in the driving attitudes). The traveling chain of cars correspond to the dragged spring-block system. Contrary to most of the studies in the field of highway traffic here we focus on a measure characteristic for one car in the row. Our statistical analysis for the spring-block chain predicts a non-trivial and rich complex behavior. As a function of the disorder level in the system a dynamic phase-transition is observed. For low disorder levels uncorrelated slidings of blocks are revealed while for high disorder levels correlated avalanches dominates.

Spring-block approach for crack patterns in glass

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Horvát E.-Á., Járai-Szabó F., Brechet Y., Néda Z.

Open Physics

2012

vol. 10

issue 4

926-935

Fracture patterns resulting from point-like impact acting perpendicularly on the plane of a commercial sodalime glass plate is modelled by a spring-block system. The characteristic patterns consist of crack lines that are spreading radially from the impact point and concentric arcs intersecting these radial lines. Experimental results suggest that the number of radial crack lines is scaling linearly with the energy dissipated during the crack formation process. The elaborated spring-block model reproduces with success the observed fracture patterns and scaling law.

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2 Open Physics

1 2012

1 2011

2 Járai-Szabó F.

2 Néda Z.

1 Brechet Y.

1 Horvát E.-Á.

1 Sándor B.

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Spring-block model for a single-lane highway traffic

Spring-block approach for crack patterns in glass