{"id":315,"date":"2017-10-29T10:55:58","date_gmt":"2017-10-29T10:55:58","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=315"},"modified":"2017-11-08T00:32:42","modified_gmt":"2017-11-08T00:32:42","slug":"effect-of-charge-separation-on-the-stability-of-large-wavelength-fluctuations-during-spinodal-decomposition","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/29\/effect-of-charge-separation-on-the-stability-of-large-wavelength-fluctuations-during-spinodal-decomposition\/","title":{"rendered":"CM Bishop, RE Garc\u00eda, WC Carter &#8220;Effect of charge separation on the stability of large wavelength fluctuations during spinodal decomposition&#8221; \u00a0Acta materialia, 51(6): 1517-1524, 2003."},"content":{"rendered":"<div>CM Bishop, RE Garc\u00eda, WC Carter &#8220;<a href=\"https:\/\/scholar.google.com\/scholar?oi=bibs&amp;cluster=8178070593614562440&amp;btnI=1&amp;hl=en\" target=\"_blank\" rel=\"noopener\">Effect of charge separation on the stability of large wavelength fluctuations during spinodal decomposition&#8221;<\/a> \u00a0<strong>Acta materialia<\/strong>, 51(6): 1517-1524, 2003.<\/div>\n<div><\/div>\n<h3>Abstract<\/h3>\n<p>A stability analysis of phase separation of charged species by spinodal decomposition is presented. The charge effects introduce a short wave number cutoff for linear perturbations about the homogeneous, neutral solution. Phase field calculations using a semi-implicit spectral method support this conclusion. This suggests that coarsening is limited in ionic solid systems that are unstable with respect to charged-phase separation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">CM Bishop, RE Garc\u00eda, WC Carter &#8220;Effect of charge separation on the&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/29\/effect-of-charge-separation-on-the-stability-of-large-wavelength-fluctuations-during-spinodal-decomposition\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;CM Bishop, RE Garc\u00eda, WC Carter &#8220;Effect of charge separation on the stability of large wavelength fluctuations during spinodal decomposition&#8221; \u00a0Acta materialia, 51(6): 1517-1524, 2003.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/29\/effect-of-charge-separation-on-the-stability-of-large-wavelength-fluctuations-during-spinodal-decomposition\/\">Continue reading<span class=\"screen-reader-text\"> \"CM Bishop, RE Garc\u00eda, WC Carter &#8220;Effect of charge separation on the stability of large wavelength fluctuations during spinodal decomposition&#8221; \u00a0Acta materialia, 51(6): 1517-1524, 2003.\"<\/span>&hellip;<\/a><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[45],"tags":[6,14,22,48,15],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-55","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":318,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/29\/thermodynamically-consistent-variational-principles-with-applications-to-electrically-and-magnetically-active-systems\/","url_meta":{"origin":315,"position":0},"title":"RE Garc\u00eda, CM Bishop, WC Carter &#8220;Thermodynamically consistent variational principles with applications to electrically and magnetically active systems&#8221; Acta Materialia, 52(1):11-21, 2004.","date":"10\/29\/2017","format":false,"excerpt":"RE Garc\u00eda, CM Bishop, WC Carter \"Thermodynamically consistent variational principles with applications to electrically and magnetically active systems\" Acta Materialia, 52(1):11-21, 2004. Abstract We propose a theoretical framework to derive thermodynamically consistent equilibrium equations and kinetic driving forces to describe the time evolution for electrically and magnetically active materials. This\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":781,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2018\/10\/26\/oat-matheus-re-garcia-cm-bishop-phase-field-theory-and-coexistence-of-ferroelectric-phases-near-the-morphotropic-phase-boundary-acta-materialia-in-press-oct-2018\/","url_meta":{"origin":315,"position":1},"title":"OA Torres-Matheus, RE Garc\u00eda, CM Bishop. \u201cPhase Coexistence Near the Morphotropic Phase Boundary.\u201d Acta Materialia. 164:577-585, 2019.","date":"10\/26\/2018","format":false,"excerpt":"OA Torres-Matheus, RE Garc\u00eda, CM Bishop. \u201cPhase \u00a0Coexistence Near the Morphotropic Phase Boundary.\u201d Acta Materialia. 164:577-585, 2019.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2018.10.041 Abstract A novel multiphase field theory for ferroelectric systems in the vicinity of a polymorphic phase boundary (PPB) is developed by coupling the Landau-Devonshire thermodynamic potentials of the individual phases. The model naturally\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":884,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2021\/01\/13\/o-a-torres-matheus-r-e-garcia-and-c-m-bishop-microstructural-phase-coexistence-kinetics-near-the-polymorphic-phase-boundary-acta-materialia-p-116579-2020\/","url_meta":{"origin":315,"position":2},"title":"O. A. Torres-Matheus, R. E. Garc\u00eda, and C. M. Bishop &#8220;Microstructural phase coexistence kinetics near the polymorphic phase boundary.&#8221; Acta Materialia, vol. 206, p. 116579, 2021.","date":"01\/13\/2021","format":false,"excerpt":"O. A. Torres-Matheus, R. E. Garc\u00eda, and C. M. Bishop \"Microstructural phase coexistence kinetics near the polymorphic phase boundary.\" Acta Materialia, vol. 206, p. 116579, 2021.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2020.116579 Abstract By implementing a novel multiphase field model for ferroelectric systems, the phase coexistence of the tetragonal (T) and rhombohedral (R) phases in Pb-free\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":877,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2020\/12\/10\/j-lund-k-s-n-vikrant-c-m-bishop-w-rheinheimer-r-e-garcia-thermodynamically-consistent-variational-principles-for-charged-interfaces-acta-materialia-205116525-2021\/","url_meta":{"origin":315,"position":3},"title":"J. Lund, K. S. N. Vikrant, C. M. Bishop, W. Rheinheimer, R. E. Garc\u00eda &#8220;Thermodynamically Consistent Variational Principles for Charged Interfaces.&#8221; Acta Materialia, 205:116525,  (2021).","date":"12\/10\/2020","format":false,"excerpt":"J. Lund, K. S. N. Vikrant, C. M. Bishop, W. Rheinheimer, R. E. Garc\u00eda \"Thermodynamically Consistent Variational Principles for Charged Interfaces.\" Acta Materialia, 205:116525, (2021).\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2020.116525 Abstract A generalized framework that naturally incorporates the free energy contributions of thermochemical, structural, mechanical, and electrical fields is presented to describe the Space Charge\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":851,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2020\/09\/27\/ksn-vikrant-w-rheinheimer-h-sternlicht-m-baurer-re-garcia-electrochemically-driven-abnormal-grain-growth-in-ionic-ceramics-acta-materialia-200-720-734-2020\/","url_meta":{"origin":315,"position":4},"title":"KSN Vikrant, W Rheinheimer, H Sternlicht, M B\u00e4urer, RE Garc\u00eda &#8220;Electrochemically-driven abnormal grain growth in ionic ceramics.&#8221;  Acta Materialia 200: 720-734, 2020.","date":"09\/27\/2020","format":false,"excerpt":"KSN Vikrant, W Rheinheimer, H Sternlicht, M B\u00e4urer, RE Garc\u00eda \"Electrochemically-driven abnormal grain growth in ionic ceramics.\" Acta Materialia 200: 720-734, 2020. \u00a0https:\/\/doi.org\/10.1016\/j.actamat.2020.08.027 \u00a0 Abstract A combined theoretical and experimental analysis was performed to understand the effects of extrinsic ionic species and point defects on the microstructural evolution of ionic\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":921,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2022\/06\/08\/l-d-robinson-k-s-n-vikrant-j-e-blendell-c-a-handwerker-r-e-garcia-interfacial-and-volumetric-melting-regimes-of-sn-nanoparticles-acta-materialia-in-press-2022\/","url_meta":{"origin":315,"position":5},"title":"L.D. Robinson, K.S.N. Vikrant, J.E. Blendell, C.A. Handwerker, R.E. Garc\u00eda  &#8220;Interfacial and Volumetric Melting Regimes of Sn Nanoparticles.&#8221; Acta Materialia. In Press. 2022","date":"06\/08\/2022","format":false,"excerpt":"L.D. Robinson, K.S.N. Vikrant, J.E. Blendell, C.A. Handwerker, and R.E. Garc\u00eda \"Interfacial and Volumetric Melting Regimes of Sn Nanoparticles.\" Acta Materialia. In Press. 2022.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2022.118084 Abstract A thermodynamically consistent phase field formulation was developed to describe what has been historically known as the premelted surface layer in Sn nanoparticles. Two interfacial\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/315"}],"collection":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/comments?post=315"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/315\/revisions"}],"predecessor-version":[{"id":580,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/315\/revisions\/580"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=315"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=315"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}