Corpus ID: 235727392

A weighted planar stochastic lattice with scale-free, small-world and multifractal properties

@inproceedings{Mitra2021AWP,
  title={A weighted planar stochastic lattice with scale-free, small-world and multifractal properties},
  author={T. Mitra and Md. Kamrul Hassan},
  year={2021}
}
We investigate a class of weighted planar stochastic lattice (WPSL1) created by random sequential nucleation of seed from which a crack is grown parallel to one of the sides of the chosen block and ceases to grow upon hitting another crack. It results in the partitioning of the square into contiguous and non-overlapping blocks. Interestingly, we find that the dynamics of WPSL1 is governed by infinitely many conservation laws and each of the conserved quantities, except the trivial conservation… Expand

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References

SHOWING 1-10 OF 37 REFERENCES
A Kinetic View of Statistical Physics
1. Aperitifs 2. Diffusion 3. Collisions 4. Exclusion 5. Aggregation 6. Fragmentation 7. Adsorption 8. Spin dynamics 9. Coarsening 10. Disorder 11. Hysteresis 12. Population dynamics 13. DiffusiveExpand
Science
Science today studies phenomena lasting less than 10−21 s and phenomena which occurred more than 13 billion years ago; science also studies phenomena occurring over distances greater than 1028 cm andExpand
{m
TLDR
The master programme in Applied Geology aims to provide comprehensive knowledge based on various branches of Geology, with special focus on Applied geology subjects in the areas of Geomorphology, Structural geology, Hydrogeology, Petroleum Geologists, Mining Geology), Remote Sensing and Environmental geology. Expand
Networks
Conceptual overview, critical commentary and future directions for research of social and business networks.
New J
  • Physics, 12 093045
  • 2010
S
  • Mukherjee and A Gowrisankar, Fractal Patterns in Nonlinear Dynamics and Applications
  • 2020
S
  • A. Haque, Physica A 469 23
  • 2017
Phys
  • Rev. E 92 040101
  • 2015
Conf
  • Ser. 297 012010
  • 2011
W
  • Van den Broeck, A. Barrat, V. Colizza, J-F Pinton and A. Vespignani, PLoS One 5 11596
  • 2010
...
1
2
3
4
...