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Free Boundary Problems in PDEs and Particle Systems pp 89–95Cite as

Independent Walkers with Current Reservoirs

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Part of the book series: SpringerBriefs in Mathematical Physics ((BRIEFSMAPHY,volume 12))

Abstract

In this chapter we consider the model introduced in (Hydrodynamic limit in a particle system with topological interactions Arab J Math 3:381–417, 2014, [1]), consisting of independent particle moving as continuous time random walkers on a finite lattice, including injection of particles at the origin and removal from the rightmost occupied site. We discuss similarities and differences with the setting developed in Part I.

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Notes

  1. 1.

    The three terms above have a volume dependence, however the dependence on N is not made explicit.

References

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Author information

Authors and Affiliations

  1. Delft University of Technology, Delft, The Netherlands

    Gioia Carinci

  2. Dipartimento di Matematica, Universita di L’Aguila, L’Aquila, Italy

    Anna De Masi

  3. Dipartimento di Matematica, Università di Modena e Reggio Emilia, Modena, Italy

    Cristian Giardinà

  4. Gran Sasso Science Institute, L’Aquila, Italy

    Errico Presutti

Authors
  1. Gioia Carinci
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  2. Anna De Masi
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  3. Cristian Giardinà
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  4. Errico Presutti
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Corresponding author

Correspondence to Gioia Carinci .

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Carinci, G., De Masi, A., Giardinà, C., Presutti, E. (2016). Independent Walkers with Current Reservoirs. In: Free Boundary Problems in PDEs and Particle Systems. SpringerBriefs in Mathematical Physics, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-33370-0_13

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