article
Lyapunov exponents and transport in the Zhang model of self-organized criticality
published
yes
B
Cessac
author
Philippe
Blanchard
author 40322
Tyll
Krüger
author 87692
29104678
department
We discuss the role played by Lyapunov exponents in the dynamics of Zhang's model of self-organized criticality. We show that a Large part of the spectrum (the slowest modes) is associated with energy transport in the lattice. In particular, we give bounds on the first negative Lyapunov exponent in terms of the energy flux dissipated at the boundaries per unit of time. We then establish an explicit formula for the transport modes that appear as diffusion modes in a landscape where the metric is given by the density of active sites. We use a finite size scaling ansatz for the Lyapunov spectrum, and relate the scaling exponent to the scaling of quantities such as avalanche size, duration, density of active sites, etc.
AMERICAN PHYSICAL SOC2001
eng
PHYSICAL REVIEW E
1063-651X
1095-3787
11461357
00016990730004310.1103/PhysRevE.64.016133
641
Cessac, B.; Blanchard, P.; Krüger, T. (2001): Lyapunov exponents and transport in the Zhang model of self-organized criticality <em>PHYSICAL REVIEW E</em>,64:(1)
Cessac, B., Blanchard, P., & Krüger, T., 2001. Lyapunov exponents and transport in the Zhang model of self-organized criticality. <em>PHYSICAL REVIEW E</em>, 64(1).
B. Cessac, P. Blanchard, and T. Krüger, Lyapunov exponents and transport in the Zhang model of self-organized criticality, PHYSICAL REVIEW E <strong>64</strong>, (2001).
Cessac, B., Blanchard, P., & Krüger, T. (2001). Lyapunov exponents and transport in the Zhang model of self-organized criticality. <em>PHYSICAL REVIEW E</em>, <em>64</em>(1). doi:10.1103/PhysRevE.64.016133
B. Cessac, P. Blanchard, and T. Krüger, “Lyapunov exponents and transport in the Zhang model of self-organized criticality”, <em>PHYSICAL REVIEW E</em>, <strong>2001</strong>, <em>64</em>.
Cessac, B., Blanchard, P., Krüger, T.: Lyapunov exponents and transport in the Zhang model of self-organized criticality. PHYSICAL REVIEW E. 64, (2001).
Cessac, B., Blanchard, P., and Krüger, T. (2001). Lyapunov exponents and transport in the Zhang model of self-organized criticality. <em>PHYSICAL REVIEW E</em> 64.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Cessac, B, Blanchard, Philippe, and Krüger, Tyll. 2001. “Lyapunov exponents and transport in the Zhang model of self-organized criticality”. <em>PHYSICAL REVIEW E</em> 64 (1).</div>
B. Cessac, P. Blanchard, and T. Krüger, “Lyapunov exponents and transport in the Zhang model of self-organized criticality”, <em>PHYSICAL REVIEW E</em>, vol. 64, 2001.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Cessac, B., Blanchard, P., & Krüger, T. (2001). Lyapunov exponents and transport in the Zhang model of self-organized criticality. <em>PHYSICAL REVIEW E</em>, <em>64</em>(1). doi:10.1103/PhysRevE.64.016133</div>
Cessac B, Blanchard P, Krüger T. Lyapunov exponents and transport in the Zhang model of self-organized criticality. <em>PHYSICAL REVIEW E</em>. 2001;64(1).
Cessac B, Blanchard P, Krüger T (2001) <br />Lyapunov exponents and transport in the Zhang model of self-organized criticality.<br />PHYSICAL REVIEW E 64(1).
Cessac, B, Blanchard, Philippe, and Krüger, Tyll. “Lyapunov exponents and transport in the Zhang model of self-organized criticality”. <em>PHYSICAL REVIEW E</em> 64.1 (2001).
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Cessac, B., Blanchard, P. & Krüger, T. (2001). Lyapunov exponents and transport in the Zhang model of self-organized criticality. <em>PHYSICAL REVIEW E</em>, <em>64</em>(1). AMERICAN PHYSICAL SOC. doi:10.1103/PhysRevE.64.016133.</div>
Cessac B, Blanchard P, Krüger T (2001) <br /><em>PHYSICAL REVIEW E</em> 64(1).
16167852010-04-28T13:02:37Z2018-07-24T12:59:42Z