{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T08:43:39Z","timestamp":1766047419565,"version":"3.46.0"},"reference-count":41,"publisher":"IOP Publishing","issue":"25","license":[{"start":{"date-parts":[[2021,4,14]],"date-time":"2021-04-14T00:00:00Z","timestamp":1618358400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2021,4,14]],"date-time":"2021-04-14T00:00:00Z","timestamp":1618358400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"crossref","award":["PlasMa-M1420-01-0145-FEDER-000016 (UMa)"],"award-info":[{"award-number":["PlasMa-M1420-01-0145-FEDER-000016 (UMa)"]}],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Russian Foundation for Basic Research","award":["20-02-00320 (JIHT)"],"award-info":[{"award-number":["20-02-00320 (JIHT)"]}]},{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["UIDP\/50010\/2020"],"award-info":[{"award-number":["UIDP\/50010\/2020"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys. D: Appl. Phys."],"published-print":{"date-parts":[[2021,6,24]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    Analysis of deviations from the similarity law, observed at high and very high pressures in experiments on discharge ignition and breakdown in corona-like configurations, can serve as a useful, albeit inevitably indirect, source of information about microprotrusions on the surface of the electrodes. In this work, such analysis was performed by means of 2D numerical modelling. Conical or cylindrical protrusions on the surface of the inner electrode were studied and the kinetic scheme includes the electrons, one species of positive ions, and negative ions\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msubsup>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">O<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mo>\u2212<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:msubsup>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ,\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msup>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">O<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mo>\u2212<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:msup>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    , and\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msubsup>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">O<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mn>3<\/mml:mn>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mo>\u2212<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:msubsup>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . It is shown that the deviations from the similarity law, observed in the experiment, may indeed be attributed to enhanced ionization of air molecules in regions of amplified electric field near the microprotrusions. A qualitative agreement with the experiment in all the cases is achieved for protrusion heights of the order of 50\n                    <jats:italic>\u00b5<\/jats:italic>\n                    m. Such values may appear rather high, however there is no other explanation in sight at present. The enhancement of the field electron emission from the surface of the negative electrode due to the amplification of the electric field on the microprotrusion was estimated and found insignificant in the range of values of the protrusion aspect ratio where the enhanced ionization in the gas phase is already appreciable.\n                  <\/jats:p>","DOI":"10.1088\/1361-6463\/abf372","type":"journal-article","created":{"date-parts":[[2021,3,30]],"date-time":"2021-03-30T18:18:27Z","timestamp":1617128307000},"page":"255203","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":5,"title":["Simulation of pre-breakdown discharges in high-pressure air: II. Effect of surface protrusions"],"prefix":"10.1088","volume":"54","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5938-4182","authenticated-orcid":false,"given":"N G C","family":"Ferreira","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2184-802X","authenticated-orcid":false,"given":"G V","family":"Naidis","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9059-1948","authenticated-orcid":false,"given":"M S","family":"Benilov","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,4,14]]},"reference":[{"key":"dabf372bib1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6463\/ab2849","type":"journal-article","volume":"52","author":"Ferreira","year":"2019","journal-title":"J. Phys. D: Appl. 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