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  • A two-dimensional model based on the totally asymmetric exclusion process is introduced. It's dynamics is inspired by pedestrian movement. We come out of the one-dimensional TASEP with open boundaries defined on a finite lattice of N sites. This model is solvable by means of the MPA method, which gives exact formulas for the density profiles and the phase diagram containing three phases, maximal current, low- and high-density phase; for both time continuous dynamics and discrete parallel updates, We define similar dynamics on a rectangle lattice of M x N sites with open boundaries. The permutation-parallel update is introduced. Via computer simulations the average density in steady state has been studied, and similar behavior to the one dimensional model observed. We have identified the same three phases and the same shape of the transition line between the low- and the high-density phase.
  • A two-dimensional model based on the totally asymmetric exclusion process is introduced. It's dynamics is inspired by pedestrian movement. We come out of the one-dimensional TASEP with open boundaries defined on a finite lattice of N sites. This model is solvable by means of the MPA method, which gives exact formulas for the density profiles and the phase diagram containing three phases, maximal current, low- and high-density phase; for both time continuous dynamics and discrete parallel updates, We define similar dynamics on a rectangle lattice of M x N sites with open boundaries. The permutation-parallel update is introduced. Via computer simulations the average density in steady state has been studied, and similar behavior to the one dimensional model observed. We have identified the same three phases and the same shape of the transition line between the low- and the high-density phase. (en)
Title
  • The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles
  • The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles (en)
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  • The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles
  • The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles (en)
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  • RIV/68407700:21340/10:00175792!RIV11-MSM-21340___
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  • RIV/68407700:21340/10:00175792
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  • 2-D totally asymmetric exclusion process; density profile; phase diagram (en)
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  • [1D02FC6D1EB4]
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  • Děčín
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  • Praha
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  • SPMS 2010 Stochastic and Physical Monitoring Systems
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  • Hrabák, Pavel
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  • České vysoké učení technické v Praze
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  • 978-80-01-04641-8
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  • 21340
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