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Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4057
Abstract: We propose a model-building framework unifying those continuum models of condensed matter accounting for second-neighbor interactions. A notion of material isomorphism justifies restrictions that we impose to changes in observers on the material manifold. In…
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Keywords:
interactions classical;
field;
second neighbor;
relative power ... See more keywords
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Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.09.162
Abstract: Abstract The diffusion of particles adsorbed on a homogeneous one-dimensional sawtooth lattice with the nearest neighbor and the next nearest neighbor interactions between the particles is investigated using a theoretical approach and the kinetic Monte…
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Keywords:
diffusion;
neighbor interactions;
one dimensional;
next nearest ... See more keywords
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Published in 2017 at "Physical Review A"
DOI: 10.1103/physreva.95.063605
Abstract: We study spinless fermions with repulsive nearest-neighbor interactions perturbed by an impurity particle or a local potential quench. Using the numerical time-evolving block decimation method and a simplified analytic model, we show that the perturbations…
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Keywords:
neighbor interactions;
nearest neighbor;
impurity soliton;
soliton dynamics ... See more keywords