Phases of memristive circuits via an interacting disorder approach
We study the phase diagram of memristive circuit models in the replica-symmetric case using a novel Lyapunov function for the dynamics of these devices. Effectively, the model we propose is an Ising model with interacting quenched disorder, which we study at the first order in a control parameter. N...
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| creator | Caravelli, Francesco Sheldon, Forrest C |
| description | We study the phase diagram of memristive circuit models in the
replica-symmetric case using a novel Lyapunov function for the dynamics of
these devices. Effectively, the model we propose is an Ising model with
interacting quenched disorder, which we study at the first order in a control
parameter. Notwithstanding these limitations, we find a complex phase diagram
and a glass-ferromagnetic transition in the parameter space which generalizes
earlier mean-field theory results for a simpler model. Our results suggest a
non-trivial landscape of asymptotic states for memristive circuits. |
| doi_str_mv | 10.48550/arxiv.2009.00114 |
| format | Article |
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replica-symmetric case using a novel Lyapunov function for the dynamics of
these devices. Effectively, the model we propose is an Ising model with
interacting quenched disorder, which we study at the first order in a control
parameter. Notwithstanding these limitations, we find a complex phase diagram
and a glass-ferromagnetic transition in the parameter space which generalizes
earlier mean-field theory results for a simpler model. Our results suggest a
non-trivial landscape of asymptotic states for memristive circuits.</description><identifier>DOI: 10.48550/arxiv.2009.00114</identifier><language>eng</language><subject>Physics - Disordered Systems and Neural Networks ; Physics - Statistical Mechanics</subject><creationdate>2020-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2009.00114$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2009.00114$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Caravelli, Francesco</creatorcontrib><creatorcontrib>Sheldon, Forrest C</creatorcontrib><title>Phases of memristive circuits via an interacting disorder approach</title><description>We study the phase diagram of memristive circuit models in the
replica-symmetric case using a novel Lyapunov function for the dynamics of
these devices. Effectively, the model we propose is an Ising model with
interacting quenched disorder, which we study at the first order in a control
parameter. Notwithstanding these limitations, we find a complex phase diagram
and a glass-ferromagnetic transition in the parameter space which generalizes
earlier mean-field theory results for a simpler model. Our results suggest a
non-trivial landscape of asymptotic states for memristive circuits.</description><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz7lOAzEUhWE3FCjwAFT4BWa4xuuUELFJkUKRfnS9kSsxi-xhBG8PBKrzV0f6GLsS0CqnNdxg-aS1vQXoWgAh1Dm7fz1iTZVPmQ9pKFQXWhMPVMIHLZWvhBxHTuOSCoaFxjceqU4lpsJxnsuE4XjBzjK-13T5vxt2eHw4bJ-b3f7pZXu3a9BY1TgL2SgdXPDRdAasQp-y1llEGWIUMluvwWoFOYIRne5-WsbofHTGqyQ37Prv9oTo50IDlq_-F9OfMPIbAuhE-Q</recordid><startdate>20200831</startdate><enddate>20200831</enddate><creator>Caravelli, Francesco</creator><creator>Sheldon, Forrest C</creator><scope>GOX</scope></search><sort><creationdate>20200831</creationdate><title>Phases of memristive circuits via an interacting disorder approach</title><author>Caravelli, Francesco ; Sheldon, Forrest C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-870f645c8cbd696074abef55f1d3cdd13f7b507540fd0619597543dd8bd86b4e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Caravelli, Francesco</creatorcontrib><creatorcontrib>Sheldon, Forrest C</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Caravelli, Francesco</au><au>Sheldon, Forrest C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Phases of memristive circuits via an interacting disorder approach</atitle><date>2020-08-31</date><risdate>2020</risdate><abstract>We study the phase diagram of memristive circuit models in the
replica-symmetric case using a novel Lyapunov function for the dynamics of
these devices. Effectively, the model we propose is an Ising model with
interacting quenched disorder, which we study at the first order in a control
parameter. Notwithstanding these limitations, we find a complex phase diagram
and a glass-ferromagnetic transition in the parameter space which generalizes
earlier mean-field theory results for a simpler model. Our results suggest a
non-trivial landscape of asymptotic states for memristive circuits.</abstract><doi>10.48550/arxiv.2009.00114</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Disordered Systems and Neural Networks Physics - Statistical Mechanics |
| title | Phases of memristive circuits via an interacting disorder approach |
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