PMID: 11308529Apr 20, 2001Paper

Transport on directed percolation clusters

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hans-Karl Janssen, Olaf Stenull

Abstract

We study random lattice networks consisting of resistorlike and diodelike bonds. For investigating the transport properties of these random resistor diode networks we introduce a field-theoretic Hamiltonian amenable to renormalization group analysis. We focus on the average two-port resistance at the transition from the nonpercolating to the directed percolating phase and calculate the corresponding resistance exponent straight phi to two-loop order. Moreover, we determine the backbone dimension D(B) of directed percolation clusters to two-loop order. We obtain a scaling relation for D(B) that is in agreement with well known scaling arguments.

References

Apr 1, 1986·Physical Review. B, Condensed Matter·T C Lubensky, J Wang
Apr 1, 1987·Physical Review. B, Condensed Matter·A B Harris
May 1, 1987·Physical Review. B, Condensed Matter·A B Harris, T C Lubensky
Jan 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K Sneppen, M H Jensen
Jun 14, 1993·Physical Review Letters·K Sneppen, M H Jensen
Jul 5, 1993·Physical Review Letters·K Sneppen, M H Jensen
Dec 13, 1993·Physical Review Letters·P Bak, K Sneppen
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H K Janssen, O Stenull
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H K Janssen, O Stenull
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·O StenullK Oerding
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H K JanssenK Oerding

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Citations

Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Stenull, H K Janssen
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Stenull, H K Janssen
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Haye HinrichsenHans-Karl Janssen
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olaf Stenull, Hans-Karl Janssen

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