Publications
107 results found
Huynh HN, Chew LY, Pruessner G, 2010, Abelian Manna model on two fractal lattices, Physical Review E, Vol: 82, ISSN: 1539-3755
We analyze the avalanche size distribution of the Abelian Manna model on two different fractal lattices with the same dimension dg=ln 3/ln 2, with the aim to probe for scaling behavior and to study the systematic dependence of the critical exponents on the dimension and structure of the lattices. We show that the scaling law D(2−τ)=dw generalizes the corresponding scaling law on regular lattices, in particular hypercubes, where dw=2. Furthermore, we observe that the lattice dimension dg, the fractal dimension of the random walk on the lattice dw, and the critical exponent D form a plane in three-dimensional parameter space, i.e., they obey the linear relationship D=0.632(3)dg+0.98(1)dw−0.49(3).
Pruessner G, 2010, Comment on "Avalanches and Non-Gaussian Fluctuations of the Global Velocity of Imbibition Fronts'', PHYSICAL REVIEW LETTERS, Vol: 105, ISSN: 0031-9007
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- Citations: 11
Gastner MT, Oborny B, Zimmermann DK, et al., 2009, Transition from Connected to Fragmented Vegetation across an Environmental Gradient: Scaling Laws in Ecotone Geometry, AMERICAN NATURALIST, Vol: 174, Pages: E23-E39, ISSN: 0003-0147
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- Citations: 33
Pruessner G, 2009, Probability Densities in Complex Systems, Measuring, Encyclopedia of Complexity and Systems Science, Editors: Meyers, Publisher: Springer Verlag, Pages: 6990-7009, ISBN: 9780387758886
Pruessner G, 2008, Block scaling in the directed percolation universality class, NEW JOURNAL OF PHYSICS, Vol: 10, ISSN: 1367-2630
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- Citations: 3
Pruessner G, Peters O, 2008, Reply to "Comment on 'Self-organized criticality and absorbing states: Lessons from the Ising model' ", Phys Rev E Stat Nonlin Soft Matter Phys, Vol: 77, Pages: 048102-048102, ISSN: 1539-3755
In R. Dickman, M. A. Muñoz, A. Vespignani, and S. Zapperi [Braz. J. Phys. 30, 27 (2000)], Dickman suggested that self-organized criticality can be produced by coupling the activity of an absorbing state model to a dissipation mechanism and adding an external drive. We analyzed the proposed mechanism in G. Pruessner and O. Peters [Phys. Rev. E 73, 025106(R) (2006)] and found that if this mechanism is at work, the finite-size scaling found in self-organized criticality will depend on the details of the implementation of dissipation and driving. In the preceding paper [M. J. Alava, L. Laurson, A. Vespignani, and S. Zapperi, Phys. Rev. E 77, 048101 (2008)], Alava show that one avalanche exponent in the absorbing state approach becomes independent of dissipation and driving. In our reply we clarify their findings and put them in the context of the original paper.
Pruessner G, Peters O, 2008, Reply to "Comment on 'Self-organized criticality and absorbing states: Lessons from the Ising model' ", PHYSICAL REVIEW E, Vol: 77, ISSN: 1539-3755
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- Citations: 6
Pruessner G, Sutton AP, 2008, Phase-field model of interfaces in single-component systems derived from classical density functional theory, PHYSICAL REVIEW B, Vol: 77, ISSN: 1098-0121
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- Citations: 4
Pruessner G, Sutton AP, 2008, Phase field modelling of interfaces from first principles, Symposium on Interfacial Nanostructures in Ceramics held at the 2007 E-MRS Spring Meeting, Publisher: IOP PUBLISHING LTD, ISSN: 1742-6588
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- Citations: 1
Christensen K, Farid N, Pruessner G, et al., 2008, On the scaling of probability density functions with apparent power-law exponent less than unity, Eur. Phys. J. B, Vol: 62, Pages: 331-336
Pruessner G, 2007, Equivalence of conditional and external field ensembles in absorbing-state phase transitions., Phys Rev E Stat Nonlin Soft Matter Phys, Vol: 76, ISSN: 1539-3755
I comment on the relation between two sampling methods for absorbing-state models. It is shown that a certain ensemble without external field conditional to activity coincides with the unconditional ensemble for sufficiently small external field. The actual physical processes involved are identical and the derivation of the identity of the scaling behavior relies on a single (established) scaling law. While the conditional ensemble by construction does not contain information about the system with large external field, it contains all the information about the limit of vanishing external field and about the vicinity of the critical point: finite size scaling as well as critical scaling in the temperature-like variable or in (small) external field.
Pruessner G, 2007, Equivalence of conditional and external field ensembles in absorbing-state phase transitions, PHYSICAL REVIEW E, Vol: 76, ISSN: 1539-3755
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- Citations: 9
Pruessner G, Gastner M, Zimmerman D, 2007, Poster: The gradient contact process, Complexity 2007, Pages: 47-47
Pruessner G, Sutton AP, 2007, Invited Talk: Phase field modelling of interfaces from first principles, EMRS Spring meeting, Publisher: IOP
Pruessner G, Gastner M, Zimmerman D, 2007, Talk: Scaling in the geometrical features of the gradient contact process, CMMP 2007
Pruessner G, Welinder P, Christensen K, 2007, Poster: Multiscaling in the areas enclosed by coalescing random walkers, CMMP 2007
We consider the correlation functions of areas between coalescing random walkers as a candidate for a simple, analytically tractable process to display multiscaling. We are able to calculate, to our knowledge for the first time,the second moment and the two point correlation function. In addition, we investigate higher order correlations numerically and can thereby confirm the presence of multiscaling.
Welinder P, Pruessner G, Christensen K, 2007, Multiscaling in the sequence of areas enclosed by coalescing random walkers, New J. Phys., Vol: 9, Pages: 149-166
Schmittmann B, Pruessner G, Janssen HK, 2006, Novel surface universality classes with strong anisotropy, 6th International Conference on Renormalization Group 2005, Publisher: IOP Publishing Ltd, Pages: 8183-8204, ISSN: 0305-4470
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- Citations: 3
Schmittmann B, Pruessner G, Janssen H-K, 2006, Strongly anisotropic roughness in surfaces driven by an oblique particle flux, PHYSICAL REVIEW E, Vol: 73, ISSN: 2470-0045
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- Citations: 12
Pruessner G, Peters O, 2006, Self-organized criticality and absorbing states: Lessons from the Ising model, PHYSICAL REVIEW E, Vol: 73, ISSN: 1539-3755
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- Citations: 16
Pruessner G, Moloney NR, 2006, Asynchronously parallelised percolation on distributed machines, 18th Workshop on Computer Simulation Studies in Condensed-Matter Physics, Publisher: SPRINGER-VERLAG BERLIN, Pages: 121-+, ISSN: 0930-8989
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- Citations: 1
Pruessner G, Moloney NR, 2005, Comment on "superscaling of percolation on rectangular domains", PHYSICAL REVIEW LETTERS, Vol: 95, ISSN: 0031-9007
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- Citations: 6
Erickson DW, Pruessner G, Schmittmann B, et al., 2005, Spurious phase in a model for traffic on a bridge, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 38, Pages: L659-L665, ISSN: 0305-4470
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- Citations: 33
Pruessner G, 2005, Book review: Renormalization methods [W D Comb], Physik Journal, Vol: 4
Pruessner G, 2005, Book review: Statistical mechanics of complex networks [R Pastor-Satorras, M Rubi and A Diaz-Guilera], Contemporary Physics, Vol: 46, Pages: 240-241
Chen Y, Pruessner G, 2005, Orthogonal polynomials with discontinuous weights, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 38, Pages: L191-L198, ISSN: 0305-4470
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- Citations: 38
Peters O, Pruessner G, 2005, Talk: Self-organized Criticality and Absorbing States: Lessons from the Ising model, APS March Meeting
Christensen K, Moloney NR, Peters O, et al., 2004, Avalanche behavior in an absorbing state Oslo model, PHYSICAL REVIEW E, Vol: 70, ISSN: 1539-3755
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- Citations: 12
Pruessner G, Jensen HJ, 2004, Efficient algorithm for the forest fire model, PHYSICAL REVIEW E, Vol: 70, ISSN: 2470-0045
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- Citations: 14
Pruessner G, 2004, Unit conversions, PHYSICS WORLD, Vol: 17, Pages: 20-20, ISSN: 0953-8585
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- Citations: 1
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