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Advanced Computing and Communication Technologies pp 289–296Cite as

Effect of Binding Constant on Phase Diagram for Three-Lane Exclusion Process

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 452))

Abstract

The goal of this paper is to analyze the effect of Langmuir-kinetics on phase diagrams of three-lane totally asymmetric simple exclusion process under the fully asymmetric coupling environment. We introduce a new parameter, namely binding constant (K) which signifies the ratio of attachment and detachment rates. The steady-state dynamics of the system is analyzed for different value of K. Phase diagrams and density profiles are obtained using mean-field theory which are found to be in good agreement with Monte-Carlo simulation results.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, 140001, Punjab, India

    Atul Kumar Verma & Arvind Kumar Gupta

Authors
  1. Atul Kumar Verma
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  2. Arvind Kumar Gupta
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Corresponding author

Correspondence to Atul Kumar Verma .

Editor information

Editors and Affiliations

  1. Asia Pacific Institute of Info. Tech., Director, Panipat, Haryana, India

    Ramesh K. Choudhary

  2. Department of Computer, Kalyani University, Kalyani, West Bengal, India

    Jyotsna Kumar Mandal

  3. IIT Ropar, Ropar, Punjab, India

    Nitin Auluck

  4. and Diagnostics, Centre for DNA Fingerprinting, Hyderabad, Andhra Pradesh, India

    H A Nagarajaram

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© 2016 Springer Science+Business Media Singapore

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Verma, A.K., Gupta, A.K. (2016). Effect of Binding Constant on Phase Diagram for Three-Lane Exclusion Process. In: Choudhary, R., Mandal, J., Auluck, N., Nagarajaram, H. (eds) Advanced Computing and Communication Technologies. Advances in Intelligent Systems and Computing, vol 452. Springer, Singapore. https://doi.org/10.1007/978-981-10-1023-1_29

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  • DOI: https://doi.org/10.1007/978-981-10-1023-1_29

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1021-7

  • Online ISBN: 978-981-10-1023-1

  • eBook Packages: EngineeringEngineering (R0)

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