Abstract
In this work, we present symmetric simple exclusion processes with a finite number of bonds whose dynamics is slowed down in order to difficult the passage of particles at those bonds. We study the influence of the rate of passage of mass at those bonds in the macroscopic hydrodynamic equation. As a consequence, we exhibit a dynamical phase transition that goes from smooth profiles to the development of discontinuities.
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Acknowledgements
The authors thank FCT (Portugal) and Capes (Brazil) for the financial support through the research project “Non-Equilibrium Statistical Mechanics of Stochastic Lattice Systems”. PG thanks FCT (Portugal) for support through the research project “Non-Equilibrium Statistical Physics” PTDC/MAT/109844/2009. PG thanks the Research Centre of Mathematics of the University of Minho, for the financial support provided by “FEDER” through the “Programa Operacional Factores de Competitividade COMPETE” and by FCT through the research project PEst-C/MAT/UI0013/2011.
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Franco, T., Gonçalves, P., Neumann, A. (2014). Dynamical Phase Transition in Slowed Exclusion Processes. In: Pinto, A., Zilberman, D. (eds) Modeling, Dynamics, Optimization and Bioeconomics I. Springer Proceedings in Mathematics & Statistics, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-04849-9_16
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DOI: https://doi.org/10.1007/978-3-319-04849-9_16
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