171 citations · 786 across the 45 of their papers we have counts for
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math-ph2006★ 33 cited
Energy transport by acoustic modes of harmonic lattices
Lisa Harris, Jani Lukkarinen, Stefan Teufel +1
We study the large scale evolution of a scalar lattice excitation which satisfies a discrete wave-equation in three dimensions. We assume that the dispersion relation associated to…
math-ph2006★ 4 cited
Asymptotics of resolvent integrals: The suppression of crossings for analytic lattice dispersion relations
Jani Lukkarinen
We study the so called crossing estimate for analytic dispersion relations of periodic lattice systems in dimensions three and higher. Under a certain regularity assumption on the…
cond-mat.stat-mech2006★ 79 cited
Energy Transport in Weakly Anharmonic Chains
Kenichiro Aoki, Jani Lukkarinen, Herbert Spohn
We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerica…