Continuously varying exponents in a sandpile model with dissipation near surface
S. Lubeck, D. Dhar
Abstract
We consider the directed Abelian sandpile model in the presence of sink sites whose density ft at depth t below the top surface varies as c~1/tchi. For chi>1 the disorder is irrelevant. For chi<1, it is relevant and the model is no longer critical for any nonzero c. For chi=1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this dependence exactly, and verify the results with simulations.
Create a lesson
Related papers
Real-Space renormalization for the drawups and drawdowns of stochastic trajectories: universality classes for diffusion processes and random walks via the scale function
Cecile Monthus
Stochastic synthesis and degradation of arbitrary diffusive processes
Denis Boyer, Gabriel Mercado-Vásquez
Critical amplitudes of the Baxter-Wu model from MCPA and Wolff simulations: free-exponent and fixed-exponent fits
Vyacheslav Mozolenko, Ian Pile, Lev Shchur
Capillary Coarsening Drives Re-entrant Statistical Transitions in Early Coffee-Ring Growth
Arundas Chandradasan, Dileep Mampallil
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo