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Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04222-8
Abstract: We show that random walk on the incipient infinite cluster (IIC) of two-dimensional critical percolation is subdiffusive in the chemical distance (i.e., in the intrinsic graph metric). Kesten (Probab Theory Related Fields 73(3): 369–394 1986)…
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Keywords:
critical percolation;
eta eta;
chemical distance;
chemical subdiffusivity ... See more keywords
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Published in 2017 at "Solid State Ionics"
DOI: 10.1016/j.ssi.2016.11.003
Abstract: Abstract Sodium chalcogenide and chalcohalide glasses exhibit high ionic conductivity and can be used in all-solid-state batteries, chemical sensors and other devices. However, the available information on NaCl-containing chalcogenide glass systems is relatively poor. In…
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Keywords:
system;
percolation;
sodium;
conductivity ... See more keywords
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Published in 2018 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa9bb4
Abstract: We study, with numerical methods, the fractal properties of the domain walls found in slow quenches of the kinetic Ising model to its critical temperature. We show that the equilibrium interfaces in the disordered phase…
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Keywords:
model critical;
percolation;
percolation slow;
ising model ... See more keywords