mk

Martin Kröger
Prof Dr rer nat habil

Simplicity is the ultimate sophistication
Leonardo da Vinci (1452-1519)

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1 selected entry
Article   S. Agrawal, S. Galmarini, M. Kröger
Energy formulation for infinite structures: order parameter for percolation, critical bonds and power-law scaling of contact-based transport
Phys. Rev. Lett. 132 (2024) 196101

Investigating heterogeneous materials. microstructure, often simulated using periodic images, is crucial for understanding their physical traits. We propose a generic spring-based representation for periodic two-component structures. The equilibrium energy in this framework serves as an order parameter, offering an analytical expression for wrapping and introducing the concept of critical bonds. We show that these minimum bonds for depercolation can be efficiently detected. The number of critical bonds scales with system size, accurately capturing contact-based transport.s scaling. This approach holds potential to analyze functional robustness of networks.


for LaTeX users
@article{SAgrawal2024-132,
 author = {S. Agrawal and S. Galmarini and M. Kr\"oger},
 title = {Energy formulation for infinite structures: order parameter for percolation, critical bonds and power-law scaling of contact-based transport},
 journal = {Phys. Rev. Lett.},
 volume = {132},
 pages = {196101},
 year = {2024}
}

\bibitem{SAgrawal2024-132} S. Agrawal, S. Galmarini, M. Kr\"oger,
Energy formulation for infinite structures: order parameter for percolation, critical bonds and power-law scaling of contact-based transport,
Phys. Rev. Lett. {\bf 132} (2024) 196101.

SAgrawal2024-132
S. Agrawal, S. Galmarini, M. Kr\"oger
Energy formulation for infinite structures: order parameter for percolation, critical bonds and power-law scaling of contact-based transport
Phys. Rev. Lett.,132,2024,196101


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