On the theory of conductivity of anisotropic composites: Lattice model

The electrical conductivity in a disordered anisotropic lattice model is considered using analytic methods. The effective conductivity of a weakly heterogeneous lattice in an approximation quadratic in the deviation of the local conductivity tensor ( r ) from its mean value 〈 〉 is determined. In the...

Full description

Saved in:
Bibliographic Details
Published in:Journal of experimental and theoretical physics 2014-10, Vol.119 (4), p.714-722
Main Author: Balagurov, B. Ya
Format: Article
Language:English
Subjects:
Anisotropy
Classical and Quantum Gravitation
Comparative analysis
Composite materials industry
Disorder
Electric properties
Electrical conductivity
Elementary Particles
Order
Particle and Nuclear Physics
Phase Transition in Condensed System
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333
cites cdi_FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333
container_end_page 722
container_issue 4
container_start_page 714
container_title Journal of experimental and theoretical physics
container_volume 119
creator Balagurov, B. Ya
description The electrical conductivity in a disordered anisotropic lattice model is considered using analytic methods. The effective conductivity of a weakly heterogeneous lattice in an approximation quadratic in the deviation of the local conductivity tensor ( r ) from its mean value 〈 〉 is determined. In the case of a low concentration ( c ≪ 1) of “defective” bonds, the conductivity in the binary lattice model is calculated in an approximation linear in c . The equations of the effective medium method are derived for an anisotropic lattice. The results are compared with the relevant results for the continuum model.
doi_str_mv 10.1134/S1063776114090106
format article
fullrecord <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracacademiconefile_A392572333</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A392572333</galeid><sourcerecordid>A392572333</sourcerecordid><originalsourceid>FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333</originalsourceid><addsrcrecordid>eNp9kE1LAzEQhoMoWKs_wNtePWzNx2628VaK1UKhYHsP2eykpnQ3JUnF_nuzrZciyBBmJvM-w_Ai9EjwiBBWPK8I5qyqOCEFFjg1V2hAUpXzEovrvuYs7-e36C6ELcZ4TLEYoNmyy-In9M_5Y-ZMpl3XHHS0XzaeetXZ4KJ3e6vTrN27YCOEl2yhYrQastY1sLtHN0btAjz85iFaz17X0_d8sXybTyeLXDNOYs4LUQmqdC2EJrowIGpCK1ZqBbXhlJO6UliX2qiaUlwwLAiFkvIC63HJGBui0XntRu1A2s6kw5RO0UBr0-FgbPqfMEHLirIT8HQBJE2E77hRhxDkfPVxqSVnrfYuBA9G7r1tlT9KgmVvsvxjcmLomQlJ223Ay607-C5Z8A_0AxMzfK4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the theory of conductivity of anisotropic composites: Lattice model</title><source>Springer Nature</source><creator>Balagurov, B. Ya</creator><creatorcontrib>Balagurov, B. Ya</creatorcontrib><description>The electrical conductivity in a disordered anisotropic lattice model is considered using analytic methods. The effective conductivity of a weakly heterogeneous lattice in an approximation quadratic in the deviation of the local conductivity tensor ( r ) from its mean value 〈 〉 is determined. In the case of a low concentration ( c ≪ 1) of “defective” bonds, the conductivity in the binary lattice model is calculated in an approximation linear in c . The equations of the effective medium method are derived for an anisotropic lattice. The results are compared with the relevant results for the continuum model.</description><identifier>ISSN: 1063-7761</identifier><identifier>EISSN: 1090-6509</identifier><identifier>DOI: 10.1134/S1063776114090106</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Anisotropy ; Classical and Quantum Gravitation ; Comparative analysis ; Composite materials industry ; Disorder ; Electric properties ; Electrical conductivity ; Elementary Particles ; Order ; Particle and Nuclear Physics ; Phase Transition in Condensed System ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Relativity Theory ; Solid State Physics</subject><ispartof>Journal of experimental and theoretical physics, 2014-10, Vol.119 (4), p.714-722</ispartof><rights>Pleiades Publishing, Inc. 2014</rights><rights>COPYRIGHT 2014 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333</citedby><cites>FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Balagurov, B. Ya</creatorcontrib><title>On the theory of conductivity of anisotropic composites: Lattice model</title><title>Journal of experimental and theoretical physics</title><addtitle>J. Exp. Theor. Phys</addtitle><description>The electrical conductivity in a disordered anisotropic lattice model is considered using analytic methods. The effective conductivity of a weakly heterogeneous lattice in an approximation quadratic in the deviation of the local conductivity tensor ( r ) from its mean value 〈 〉 is determined. In the case of a low concentration ( c ≪ 1) of “defective” bonds, the conductivity in the binary lattice model is calculated in an approximation linear in c . The equations of the effective medium method are derived for an anisotropic lattice. The results are compared with the relevant results for the continuum model.</description><subject>Anisotropy</subject><subject>Classical and Quantum Gravitation</subject><subject>Comparative analysis</subject><subject>Composite materials industry</subject><subject>Disorder</subject><subject>Electric properties</subject><subject>Electrical conductivity</subject><subject>Elementary Particles</subject><subject>Order</subject><subject>Particle and Nuclear Physics</subject><subject>Phase Transition in Condensed System</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Relativity Theory</subject><subject>Solid State Physics</subject><issn>1063-7761</issn><issn>1090-6509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKs_wNtePWzNx2628VaK1UKhYHsP2eykpnQ3JUnF_nuzrZciyBBmJvM-w_Ai9EjwiBBWPK8I5qyqOCEFFjg1V2hAUpXzEovrvuYs7-e36C6ELcZ4TLEYoNmyy-In9M_5Y-ZMpl3XHHS0XzaeetXZ4KJ3e6vTrN27YCOEl2yhYrQastY1sLtHN0btAjz85iFaz17X0_d8sXybTyeLXDNOYs4LUQmqdC2EJrowIGpCK1ZqBbXhlJO6UliX2qiaUlwwLAiFkvIC63HJGBui0XntRu1A2s6kw5RO0UBr0-FgbPqfMEHLirIT8HQBJE2E77hRhxDkfPVxqSVnrfYuBA9G7r1tlT9KgmVvsvxjcmLomQlJ223Ay607-C5Z8A_0AxMzfK4</recordid><startdate>20141001</startdate><enddate>20141001</enddate><creator>Balagurov, B. Ya</creator><general>Pleiades Publishing</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20141001</creationdate><title>On the theory of conductivity of anisotropic composites: Lattice model</title><author>Balagurov, B. Ya</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Anisotropy</topic><topic>Classical and Quantum Gravitation</topic><topic>Comparative analysis</topic><topic>Composite materials industry</topic><topic>Disorder</topic><topic>Electric properties</topic><topic>Electrical conductivity</topic><topic>Elementary Particles</topic><topic>Order</topic><topic>Particle and Nuclear Physics</topic><topic>Phase Transition in Condensed System</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>Relativity Theory</topic><topic>Solid State Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Balagurov, B. Ya</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of experimental and theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Balagurov, B. Ya</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the theory of conductivity of anisotropic composites: Lattice model</atitle><jtitle>Journal of experimental and theoretical physics</jtitle><stitle>J. Exp. Theor. Phys</stitle><date>2014-10-01</date><risdate>2014</risdate><volume>119</volume><issue>4</issue><spage>714</spage><epage>722</epage><pages>714-722</pages><issn>1063-7761</issn><eissn>1090-6509</eissn><abstract>The electrical conductivity in a disordered anisotropic lattice model is considered using analytic methods. The effective conductivity of a weakly heterogeneous lattice in an approximation quadratic in the deviation of the local conductivity tensor ( r ) from its mean value 〈 〉 is determined. In the case of a low concentration ( c ≪ 1) of “defective” bonds, the conductivity in the binary lattice model is calculated in an approximation linear in c . The equations of the effective medium method are derived for an anisotropic lattice. The results are compared with the relevant results for the continuum model.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063776114090106</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1063-7761
ispartof Journal of experimental and theoretical physics, 2014-10, Vol.119 (4), p.714-722
issn 1063-7761
1090-6509
language eng
recordid cdi_gale_infotracacademiconefile_A392572333
source Springer Nature
subjects Anisotropy
Classical and Quantum Gravitation
Comparative analysis
Composite materials industry
Disorder
Electric properties
Electrical conductivity
Elementary Particles
Order
Particle and Nuclear Physics
Phase Transition in Condensed System
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
title On the theory of conductivity of anisotropic composites: Lattice model
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T22%3A43%3A43IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20theory%20of%20conductivity%20of%20anisotropic%20composites:%20Lattice%20model&rft.jtitle=Journal%20of%20experimental%20and%20theoretical%20physics&rft.au=Balagurov,%20B.%20Ya&rft.date=2014-10-01&rft.volume=119&rft.issue=4&rft.spage=714&rft.epage=722&rft.pages=714-722&rft.issn=1063-7761&rft.eissn=1090-6509&rft_id=info:doi/10.1134/S1063776114090106&rft_dat=%3Cgale_cross%3EA392572333%3C/gale_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c361t-649792acb99c1c4fe9b12735caebf6261b7a0c5cfab220430912e52640c85333%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A392572333&rfr_iscdi=true