93 citations · 324 across the 17 of their papers we have counts for
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A fractional generalization of the classical lattice dynamics approach
T. M. Michelitsch, B. A. Collet, A. P. Riascos +2
We develop physically admissible lattice models in the harmonic approximation which define by Hamilton's variational principle fractional Laplacian matrices of the forms of power l…
Fractional random walk lattice dynamics
Thomas Michelitsch, Bernard Collet, Alejandro Perez Riascos +2
We analyze time-discrete and continuous `fractional' random walks on undirected regular networks with special focus on cubic periodic lattices in dimensions. The fract…
Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels
Thomas Michelitsch, Bernard Collet, Alejandro Riascos +2
We introduce positive elastic potentials in the harmonic approximation leading by Hamilton's variational principle to fractional Laplacian matrices having the forms of power law ma…