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most citedp-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes

219 citations

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8 papers · 1 filter

quant-ph2010★ 13 cited

The effect of measurements, randomly distributed in time, on quantum systems. Stochastic quantum Zeno effect

A. I. Shushin

The manifestation of measurements, randomly distributed in time, on the evolution of quantum systems are analyzed in detail. The set of randomly distributed measurements (RDM) is m…

physics.chem-ph2010★ 13 cited

Analytical method for parameterizing the random profile components of nanosurfaces imaged by atomic force microscopy

Utkur Mirsaidov, Serge F. Timashev, Yuriy S. Polyakov +3

The functional properties of many technological surfaces in biotechnology, electronics, and mechanical engineering depend to a large degree on the individual features of their nano…

cond-mat.mes-hall2010★ 43 cited

Heat conductivity of DNA double helix

Alexander V. Savin, Mikhail A. Mazo, Irina P. Kikot +2

Thermal conductivity of isolated single molecule DNA fragments is of importance for nanotechnology, but has not yet been measured experimentally. Theoretical estimates based on sim…

cond-mat.mes-hall2010★ 194 cited

Suppression of thermal conductivity in graphene nanoribbons with rough edges

Alexander V. Savin, Yuri S. Kivshar, Bambi Hu

We analyze numerically the thermal conductivity of carbon nanoribbons with ideal and rough edges. We demonstrate that edge disorder can lead to a suppression of thermal conductivit…

nlin.PS2010★ 86 cited

Limiting phase trajectories and the origin of energy localization in nonlinear oscillatory chains

L. I. Manevitch, V. V. Smirnov

We demonstrate that the modulation instability of the zone boundary mode in a finite (periodic) Fermi-Pasta-Ulam chain is the necessary but not sufficient condition for the efficie…

q-bio.QM2010★ 7 cited

On the motifs distribution in random hierarchical networks

V. A. Avetisov, S. K. Nechaev, A. B. Shkarin

The distribution of motifs in random hierarchical networks defined by nonsymmetric random block--hierarchical adjacency matrices, is constructed for the first time. According to th…

physics.data-an2010★ 41 cited

Anomalous diffusion as a stochastic component in the dynamics of complex processes

Serge F. Timashev, Yuriy S. Polyakov, Pavel I. Misurkin +1

We propose an interpolation expression using the difference moment (Kolmogorov transient structural function) of the second order as the average characteristic of displacements for…

cond-mat.mes-hall2010★ 75 cited

Vibrational Tamm states at the edges of graphene nanoribbons

Alexander V. Savin, Yuri S. Kivshar

We study vibrational states localized at the edges of graphene nanoribbons. Such surface oscillations can be considered as a phonon analog of Tamm states well known in the electron…