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TitleStochastic transport in complex systems : from molecules to vehicles
Author Andreas Schadschneider, Debashish Chowdhury, Katsuhiro Nishinari
Imprint Oxford : Elsevier, 2011
Descript xx, 557 p. : ill. ; 24 cm


Introduction to nonequilibrium systems and transport phenomena : Classification of nonequilibrium phenomena ; Hierarchy of description at different levels ; Individual-based models ; Population-based models ; Fluid flow: theoretical descriptions at different levels ; Back to discrete models: mimicking hydrodynamics with fictitious particles ; Phase transitions, critical dynamics, and kinetics of phase ordering -- Methods for the description of stochastic models : Quantum formalism ; Mean-field and cluster methods ; Bethe Ansatz ; Matrix-product Ansatz ; Other methods ; Numerical methods -- Particle-hopping models of transport far from equilibrium : Elements of random walk theory ; Asymmetric simple exclusion process ; Zero-range process and exact results ; Extensions and generalizations ; Physics of the ZRP ; Particle-hopping models with factorized stationary states ; Generalized mass transport models -- Asymmetric simple exclusion process – exact results : ASEP with periodic boundary conditions ; ASEP with open boundary conditions ; Partially asymmetric version ; Extension of the ASEP to other update types ; Boundary-induced phase transitions ; Extensions of ASEP ; Multispecies models ; Other related models -- Modeling of traffic and transport processes : Classification of models -- Vehicular traffic I: empirical facts : Measurement techniques and detectors ; Observables and data analysis ; Formation and characterization of traffic jams ; Fundamental diagram ; Metastability and hysteresis ; Phases of traffic flow ; Ramps, intersections, and other inhomogeneities ; Headway distributions ; Optimal-velocity function ; Correlation functions ; Psychological effects -- Vehicular traffic II: the Nagel–Schreckenberg model : Definition of the model ; Fundamental diagram and limiting cases of the NaSch model ; Analytical theories for NaSch model with Vmax > 1 ; Spatio-temporal organization of vehicles -- Vehicular traffic III: other CA models : Slow-to-start rules, metastability, and hysteresis ; Cruise-control limit ; CA models of synchronized traffic ; Other CA models ; CA from ultradiscrete method ; CA models of multilane traffic ; Effects of quenched disorder ; Bus-route model ; Accidents -- Vehicular traffic IV: non-CA approaches : Fluid-dynamical theories ; Second-order fluid dynamical theories ; Gas-kinetic models ; Car-following models ; Coupled-map models ; Other approaches -- Transport on networks : Networks and transport ; BML model of city traffic ; Chowdhury–Schadschneider model ; Highway and city networks ; Computer networks and internet traffic -- Pedestrian dynamics : Empirical observations and collective phenomena ; Cellular automata models ; Floor field CA ; Other models -- Traffic phenomena in biology : TASEP for hard rods: minimal model of transcription and translation ; TASEP for particles with Langmuir kinetics: minimal model of Kinesin traffic ; Traffic in social insect colonies: ant-trails

Stochastic models Transport theory Traffic flow -- Mathematical models Stochastic processes

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