Particle-hole symmetry in a sandpile model

Details Particle-hole symmetry in a sandpile model Particle-hole symmetry in a sandpile model

2005-01-22

arxiv.org/abs/cond-mat/0501540v1

J. Stat. Mech. (2005) L01002

Physics

Condensed Matter

Statistical Mechanics

Four pages, our figures

Scientific paper

10.1088/1742-5468/2005/01/L01002

In a sandpile model addition of a hole is defined as the removal of a grain from the sandpile. We show that hole avalanches can be defined very similar to particle avalanches. A combined particle-hole sandpile model is then defined where particle avalanches are created with probability $p$ and hole avalanches are created with the probability $1-p$. It is observed that the system is critical with respect to either particle or hole avalanches for all values of $p$ except at the symmetric point of $p_c=1/2$. However at $p_c$ the fluctuating mass density is having non-trivial correlations characterized by $1/f$ type of power spectrum.

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