Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope

The formation of an adatom adsorption structure in dynamic force microscopy experiment is shown as a result of the spontaneous appearance of shear strain caused by external supercritical heating. This transition is described by the Kelvin-Voigt equation for a viscoelastic medium, the relaxation Land...

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Main Author: A.V. Khomenko
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2014-09-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.17.33401
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author A.V. Khomenko
author_facet A.V. Khomenko
author_sort A.V. Khomenko
collection DOAJ
description The formation of an adatom adsorption structure in dynamic force microscopy experiment is shown as a result of the spontaneous appearance of shear strain caused by external supercritical heating. This transition is described by the Kelvin-Voigt equation for a viscoelastic medium, the relaxation Landau-Khalatnikov equation for shear stress, and the relaxation equation for temperature. It is shown that these equations formally coincide with the synergetic Lorenz system, where the shear strain acts as the order parameter, the conjugate field is reduced to the stress, and the temperature is the control parameter. Within the adiabatic approximation, the steady-state values of these quantities are found. Taking into account the sample shear modulus vs strain dependence, the formation of the adatom adsorption configuration is described as the first-order transition. The critical temperature of the tip linearly increases with the growth of the effective value of the sample shear modulus and decreases with the growth of its typical value.
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spelling doaj.art-35ed87e2f0534625b9e38d4198a076d32022-12-22T03:22:53ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2014-09-011733340110.5488/CMP.17.33401Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope A.V. KhomenkoThe formation of an adatom adsorption structure in dynamic force microscopy experiment is shown as a result of the spontaneous appearance of shear strain caused by external supercritical heating. This transition is described by the Kelvin-Voigt equation for a viscoelastic medium, the relaxation Landau-Khalatnikov equation for shear stress, and the relaxation equation for temperature. It is shown that these equations formally coincide with the synergetic Lorenz system, where the shear strain acts as the order parameter, the conjugate field is reduced to the stress, and the temperature is the control parameter. Within the adiabatic approximation, the steady-state values of these quantities are found. Taking into account the sample shear modulus vs strain dependence, the formation of the adatom adsorption configuration is described as the first-order transition. The critical temperature of the tip linearly increases with the growth of the effective value of the sample shear modulus and decreases with the growth of its typical value.http://dx.doi.org/10.5488/CMP.17.33401phase transitionrheologyplasticitystrainstressatomic force microscopy
spellingShingle A.V. Khomenko
Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope
Condensed Matter Physics
phase transition
rheology
plasticity
strain
stress
atomic force microscopy
title Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope
title_full Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope
title_fullStr Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope
title_full_unstemmed Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope
title_short Self-organization of adatom adsorption structure at interaction with tip of dynamic force microscope
title_sort self organization of adatom adsorption structure at interaction with tip of dynamic force microscope
topic phase transition
rheology
plasticity
strain
stress
atomic force microscopy
url http://dx.doi.org/10.5488/CMP.17.33401
work_keys_str_mv AT avkhomenko selforganizationofadatomadsorptionstructureatinteractionwithtipofdynamicforcemicroscope