{"id":246,"date":"2013-04-24T18:59:36","date_gmt":"2013-04-24T18:59:36","guid":{"rendered":"http:\/\/web.unideb.hu\/zerdelyi\/?page_id=246"},"modified":"2013-12-13T22:55:48","modified_gmt":"2013-12-13T22:55:48","slug":"table-of-contents","status":"publish","type":"page","link":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/","title":{"rendered":"Table of contents"},"content":{"rendered":"<ul>\n<li><a title=\"1. Introduction\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/introduction\/\">1. Introduction<\/a><\/li>\n<li><a title=\"Volume diffusion\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/\">2. Volume diffusion<\/a>\n<ul>\n<li><a title=\"Fick's equations\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:fick-equations\">2.1 Fick&#8217;s equations<\/a><\/li>\n<li><a title=\"2.2 Boltzmann's transformation, Parabolic law\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:Boltzmann-tranf-parabolic-law\">2.2 Boltzmann&#8217;s transformation, Parabolic law<\/a><\/li>\n<li><a title=\"2.3 Atomic aspects of volume diffusion\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:atomic-aspects-volume-diff\">2.3 Atomic aspects of volume diffusion<\/a><\/li>\n<li><a title=\"Interdiffusion\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:interdiffusion\">2.4 Interdiffusion<\/a>\n<ul>\n<li><a title=\"Atomic fluxes\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:atomic-fluxes\">2.4.1 Atomic fluxes<\/a><\/li>\n<li><a title=\"Interdiffusion coefficient\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:interdiffusion-coefficient-Kikendall\">2.4.2 Interdiffusion coefficient<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a title=\"Composition dependent diffusion coefficient - Diffusion asymmetry\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:diffusion-asymmetry\" target=\"_blank\">2.5 Composition dependent diffusion coefficient &#8211; Diffusion asymmetry<\/a><\/li>\n<li><a title=\"Discrete \/ atomistic models\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:discrete-models\">2.6 Discrete \/ atomistic models<\/a>\n<ul>\n<li><a title=\"One dimensional kinetic mean filed model (KMF)\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:KMF\">2.6.1 One dimensional kinetic mean filed model (KMF)<\/a><\/li>\n<li><a title=\"Three dimensional kinetic Monte Carlo model (KMC)\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/volume-diffusion\/#sec:KMC\">2.6.2 Three dimensional kinetic Monte Carlo model (KMC)<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><a title=\"Nanoscale effects in volume diffusion\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/\">3. Nanoscale effects in volume diffusion<\/a>\n<ul>\n<li><a title=\"Introduction\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:Introduction-Nano\">3.1 Introduction<\/a><\/li>\n<li><a title=\"Validity of the continuum approximation in multilayers - Continuum models deteriorate on the nanoscale\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:continuum-model\">3.2 Validity of the continuum approximation in multilayers &#8211; Continuum models deteriorate on the nanoscale<\/a><\/li>\n<li><a title=\"Sharp interface shift\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:sharp-interface-shift\">3.3 Sharp interface shift<\/a>\n<ul>\n<li><a title=\"Computer simulations\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:sharp-interf-shift-sim\">3.3.1 Computer simulations<\/a><\/li>\n<li><a title=\"Experiments\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:sharp-interf-shift-exp\">3.3.2 Experiments<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a title=\"Interface shift kinetics - Anomalous (Non-Fickian) diffusion kinetics \" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous\">3.4 Interface shift kinetics &#8211; Anomalous (Non-Fickian) diffusion kinetics<\/a>\n<ul>\n<li><a title=\"Completely miscible (V=0) and phase separating (V&gt;0) systems\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous_ideal_phasese\">3.4.1 Completely miscible ($$V=0$$) and phase separating ($$V&gt;0$$) systems<\/a>\n<ul>\n<li><a title=\"Computer simulations and theory\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous_ideal_phasesep_sim\">3.4.1.1 Computer simulations and theory<\/a><\/li>\n<li><a title=\"Experiments\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous_ideal_phasesep_exp\" target=\"_blank\">3.4.1.2 Experiments<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a title=\"Ordering systems (V&lt;0) -- Solid state reaction\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous_ordering\" target=\"_blank\">3.4.2 Ordering systems ($$V&lt;0$$) &#8211; Solid state reaction<\/a>\n<ul>\n<li><a title=\"Computer simulations\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous_ordering_sim\" target=\"_blank\">3.4.2.1 Computer simulations<\/a><\/li>\n<li><a title=\"Experiments\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:anomalous_ordering_exp\" target=\"_blank\">3.4.2.2 Experiments<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><a title=\"Change of interface morphology\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:interf_morphol\" target=\"_blank\">3.5. Change of interface morphology<\/a>\n<ul>\n<li><a title=\"Interface sharpening in completely miscible alloys\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:interf_sharp\" target=\"_blank\">3.5.1 Interface sharpening in completely miscible alloys<\/a>\n<ul>\n<li><a title=\"Computer simulations\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:interf_sharp_sim\" target=\"_blank\">3.5.1.1 Computer simulations<\/a><\/li>\n<li><a title=\"Experiments\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:interf_sharp_exp\" target=\"_blank\">3.5.1.2 Experiments<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a title=\"Dissolution and off-stoichiometric formation of compound layers in solid state reactions\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:off_stoich\" target=\"_blank\">3.5.2 Dissolution and off-stoichiometric formation of compound layers in solid state reactions<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><a title=\"Summary\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/nanoscale-effects-in-volume-diffusion\/#sec:summary\" target=\"_blank\">3.6. Summary<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><a title=\"Bibliography\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/bibliography\/\" target=\"_blank\">Bibliography<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Introduction 2. Volume diffusion 2.1 Fick&#8217;s equations 2.2 Boltzmann&#8217;s transformation, Parabolic law 2.3 Atomic aspects of volume diffusion 2.4 Interdiffusion 2.4.1 Atomic fluxes 2.4.2 Interdiffusion coefficient 2.5 Composition dependent diffusion coefficient &#8211; Diffusion asymmetry 2.6 Discrete \/ atomistic models 2.6.1 One dimensional kinetic mean filed model (KMF) 2.6.2 Three dimensional kinetic Monte Carlo model &hellip; <a href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Table of contents<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":4,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-246","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.1.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Table of contents - Zolt\u00e1n ERD\u00c9LYI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Table of contents - Zolt\u00e1n ERD\u00c9LYI\" \/>\n<meta property=\"og:description\" content=\"1. 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Volume diffusion 2.1 Fick&#8217;s equations 2.2 Boltzmann&#8217;s transformation, Parabolic law 2.3 Atomic aspects of volume diffusion 2.4 Interdiffusion 2.4.1 Atomic fluxes 2.4.2 Interdiffusion coefficient 2.5 Composition dependent diffusion coefficient &#8211; Diffusion asymmetry 2.6 Discrete \/ atomistic models 2.6.1 One dimensional kinetic mean filed model (KMF) 2.6.2 Three dimensional kinetic Monte Carlo model &hellip; Continue reading Table of contents &rarr;\" \/>\n<meta property=\"og:url\" content=\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/\" \/>\n<meta property=\"og:site_name\" content=\"Zolt\u00e1n ERD\u00c9LYI\" \/>\n<meta property=\"article:modified_time\" content=\"2013-12-13T22:55:48+00:00\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/\",\"url\":\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/\",\"name\":\"Table of contents - Zolt\u00e1n ERD\u00c9LYI\",\"isPartOf\":{\"@id\":\"http:\/\/web.unideb.hu\/zerdelyi\/#website\"},\"datePublished\":\"2013-04-24T18:59:36+00:00\",\"dateModified\":\"2013-12-13T22:55:48+00:00\",\"breadcrumb\":{\"@id\":\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Diffusion on the nanoscale\",\"item\":\"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Table of contents\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/web.unideb.hu\/zerdelyi\/#website\",\"url\":\"http:\/\/web.unideb.hu\/zerdelyi\/\",\"name\":\"Zolt\u00e1n ERD\u00c9LYI\",\"description\":\"Nano-materials, diffusion, solid sate reaction\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/web.unideb.hu\/zerdelyi\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Table of contents - Zolt\u00e1n ERD\u00c9LYI","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/","og_locale":"en_US","og_type":"article","og_title":"Table of contents - Zolt\u00e1n ERD\u00c9LYI","og_description":"1. 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Volume diffusion 2.1 Fick&#8217;s equations 2.2 Boltzmann&#8217;s transformation, Parabolic law 2.3 Atomic aspects of volume diffusion 2.4 Interdiffusion 2.4.1 Atomic fluxes 2.4.2 Interdiffusion coefficient 2.5 Composition dependent diffusion coefficient &#8211; Diffusion asymmetry 2.6 Discrete \/ atomistic models 2.6.1 One dimensional kinetic mean filed model (KMF) 2.6.2 Three dimensional kinetic Monte Carlo model &hellip; Continue reading Table of contents &rarr;","og_url":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/","og_site_name":"Zolt\u00e1n ERD\u00c9LYI","article_modified_time":"2013-12-13T22:55:48+00:00","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/","url":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/","name":"Table of contents - Zolt\u00e1n ERD\u00c9LYI","isPartOf":{"@id":"http:\/\/web.unideb.hu\/zerdelyi\/#website"},"datePublished":"2013-04-24T18:59:36+00:00","dateModified":"2013-12-13T22:55:48+00:00","breadcrumb":{"@id":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/"]}]},{"@type":"BreadcrumbList","@id":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/table-of-contents\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Diffusion on the nanoscale","item":"http:\/\/web.unideb.hu\/zerdelyi\/diffusion-on-the-nanoscale\/"},{"@type":"ListItem","position":2,"name":"Table of contents"}]},{"@type":"WebSite","@id":"http:\/\/web.unideb.hu\/zerdelyi\/#website","url":"http:\/\/web.unideb.hu\/zerdelyi\/","name":"Zolt\u00e1n ERD\u00c9LYI","description":"Nano-materials, diffusion, solid sate reaction","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/web.unideb.hu\/zerdelyi\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/pages\/246","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/comments?post=246"}],"version-history":[{"count":15,"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/pages\/246\/revisions"}],"predecessor-version":[{"id":285,"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/pages\/246\/revisions\/285"}],"up":[{"embeddable":true,"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/pages\/4"}],"wp:attachment":[{"href":"http:\/\/web.unideb.hu\/zerdelyi\/wp-json\/wp\/v2\/media?parent=246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}