Solvable Model for Dynamic Mass Transport in Disordered Geophysical Media

M. Marder; Behzad Eftekhari; Tadeusz Patzek

doi:10.1103/physrevlett.120.138302

Solvable Model for Dynamic Mass Transport in Disordered Geophysical Media

M. Marder, Behzad Eftekhari, Tadeusz Patzek

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Abstract

We present an analytically solvable model for transport in geophysical materials on large length and time scales. It describes the flow of gas to a complicated absorbing boundary over long periods of time. We find a solution to this model using Green's function techniques, and apply the solution to three absorbing networks of increasing complexity.

Original language	English (US)
Journal	Physical Review Letters
Volume	120
Issue number	13
DOIs	https://doi.org/10.1103/physrevlett.120.138302
State	Published - Mar 29 2018

Bibliographical note

KAUST Repository Item: Exported on 2021-02-19
Acknowledgements: B. E. acknowledges funding from the King Abdullah University of Science and Technology. We thank David DiCarlo, Carlos Torres-Verdin, and Larry Lake for useful comments as the work was progressing. Qian Niu helpfully pointed out the possibility of localized modes in the continuum.

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10.1103/physrevlett.120.138302

https://repository.kaust.edu.sa/bitstream/10754/627539/1/PhysRevLett.120.138302.pdf

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title = "Solvable Model for Dynamic Mass Transport in Disordered Geophysical Media",

abstract = "We present an analytically solvable model for transport in geophysical materials on large length and time scales. It describes the flow of gas to a complicated absorbing boundary over long periods of time. We find a solution to this model using Green's function techniques, and apply the solution to three absorbing networks of increasing complexity.",

author = "M. Marder and Behzad Eftekhari and Tadeusz Patzek",

note = "KAUST Repository Item: Exported on 2021-02-19 Acknowledgements: B. E. acknowledges funding from the King Abdullah University of Science and Technology. We thank David DiCarlo, Carlos Torres-Verdin, and Larry Lake for useful comments as the work was progressing. Qian Niu helpfully pointed out the possibility of localized modes in the continuum.",

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AU - Eftekhari, Behzad

AU - Patzek, Tadeusz

N1 - KAUST Repository Item: Exported on 2021-02-19 Acknowledgements: B. E. acknowledges funding from the King Abdullah University of Science and Technology. We thank David DiCarlo, Carlos Torres-Verdin, and Larry Lake for useful comments as the work was progressing. Qian Niu helpfully pointed out the possibility of localized modes in the continuum.

PY - 2018/3/29

Y1 - 2018/3/29

N2 - We present an analytically solvable model for transport in geophysical materials on large length and time scales. It describes the flow of gas to a complicated absorbing boundary over long periods of time. We find a solution to this model using Green's function techniques, and apply the solution to three absorbing networks of increasing complexity.

AB - We present an analytically solvable model for transport in geophysical materials on large length and time scales. It describes the flow of gas to a complicated absorbing boundary over long periods of time. We find a solution to this model using Green's function techniques, and apply the solution to three absorbing networks of increasing complexity.

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Solvable Model for Dynamic Mass Transport in Disordered Geophysical Media

Abstract

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