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Technol."],"published-print":{"date-parts":[[2021,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This work analyzes the temporal evolution of the electron kinetics in dry-air plasmas (80% N<jats:sub>2<\/jats:sub>: 20% O<jats:sub>2<\/jats:sub>), excited by electric-field pulses with typical rise-times of 10<jats:sup>\u22129<\/jats:sup> and 10<jats:sup>\u22126<\/jats:sup> s, applied to a stationary neutral gaseous background at pressures of 10<jats:sup>5<\/jats:sup>, 133 Pa and temperature of 300\u00a0K. The study is based on the solution of the electron Boltzmann equation (EBE), adopting either (i) a time-dependent formulation that considers an intrinsic time evolution for the electron energy distribution function (EEDF), assuming the classical two-term expansion and a space-independent exponential temporal growth of the electron density; or (ii) a quasi-stationary approach, where the time-independent form of the EBE is solved for different values of the reduced electric-field over the duration of the pulse. The EBE was solved using the LisbOn KInetics Boltzmann solver (LoKI-B), whose original capabilities were extended to accept time-dependent non-oscillatory electric fields as input data. The role of electron\u2013electron collisions, under specific conditions, is also reported and discussed. The simulations show that the quasi-stationary approach gives solutions similar to the time-dependent formulation for rise-times longer than the characteristic evolution time of the EEDF, i.e. 20\u00a0ns at 10<jats:sup>5<\/jats:sup> Pa and 20 <jats:italic>\u03bc<\/jats:italic>s at 133\u00a0Pa, meaning that a quasi-stationary description is possible in a high-collisionality situation and long rise-times (e.g. microsecond pulses at atmospheric pressure), failing for faster rise-times (e.g. nanosecond pulses for both pressures considered here).<\/jats:p>","DOI":"10.1088\/1361-6595\/abf858","type":"journal-article","created":{"date-parts":[[2021,4,16]],"date-time":"2021-04-16T02:08:38Z","timestamp":1618538918000},"page":"065008","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":38,"title":["On the quasi-stationary approach to solve the electron Boltzmann equation in pulsed plasmas"],"prefix":"10.1088","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9147-7909","authenticated-orcid":false,"given":"A","family":"Tejero-del-Caz","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6878-6850","authenticated-orcid":false,"given":"V","family":"Guerra","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4185-2619","authenticated-orcid":false,"given":"N","family":"Pinh\u00e3o","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1527-2976","authenticated-orcid":false,"given":"C D","family":"Pintassilgo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2677-574X","authenticated-orcid":false,"given":"L L","family":"Alves","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,6,8]]},"reference":[{"key":"psstabf858bib1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6595\/aa5205","volume":"26","author":"Brandenburg","year":"2017","journal-title":"Plasma Sources Sci. 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