Frontiers in Physics | |
Time-Dependent Properties of Sandpiles | |
Punyabrata Pradhan1  | |
[1] null; | |
关键词: self-organized criticality; scale invariance; time-dependent correlation; transport coefficients; absorbing phase transitions; | |
DOI : 10.3389/fphy.2021.641233 | |
来源: Frontiers | |
【 摘 要 】
Bak, Tang, and Wiesenfeld (BTW) proposed the theory of self-organized criticality (SOC), and sandpile models, to connect “1/f” noise, observed in systems in a diverse natural setting, to the fractal spatial structure. We review some of the existing works on the problem of characterizing time-dependent properties of sandpiles and try to explore if the BTW's original ambition has really been fulfilled. We discuss the exact hydrodynamic structure in a class of conserved stochastic sandpiles, undergoing a non-equilibrium absorbing phase transition. We illustrate how the hydrodynamic framework can be used to capture long-ranged spatio-temporal correlations in terms of large-scale transport and relaxation properties of the systems. We particularly emphasize certain interesting aspects of sandpiles—the transport instabilities, which emerge through the threshold-activated nature of the dynamics in the systems. We also point out some open issues at the end.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202107130258658ZK.pdf | 371KB | download |