@article{
 title = {Spectral characteristics of steady-state Lévy flights in confinement potential profiles},
 type = {article},
 year = {2016},
 keywords = {rigorous results in statistical mechanics,stochastic particle dynamics,stochastic processes (theory)},
 volume = {2016},
 id = {c9f3f4c1-e3b7-3e6e-891c-92284ddefac9},
 created = {2020-10-30T10:12:17.430Z},
 file_attached = {false},
 profile_id = {f5390430-7317-381a-8c56-e25a878d78ef},
 last_modified = {2020-10-30T10:12:17.430Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {false},
 hidden = {false},
 private_publication = {false},
 abstract = {© 2016 IOP Publishing Ltd and SISSA Medialab srl. The steady-state correlation characteristics of superdiffusion in the form of Levy flights in one-dimensional confinement potential profiles are investigated both theoretically and numerically. Specifically, for Cauchy stable noise we calculate the steady-state probability density function for an infinitely deep rectangular potential well and for a symmetric steep potential well of the type U(x)∞x2m. For these potential profiles and arbitrary Levy index α, we obtain the asymptotic expression of the spectral power density.},
 bibtype = {article},
 author = {Kharcheva, A.A. and Dubkov, A.A. and Dybiec, B. and Spagnolo, B. and Valenti, D.},
 doi = {10.1088/1742-5468/2016/05/054039},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 number = {5}
}

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