{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T16:17:22Z","timestamp":1764433042032,"version":"3.41.2"},"reference-count":46,"publisher":"AIP Publishing","issue":"1","funder":[{"name":"AFR Malaysia","award":["RP008C-13AFR"],"award-info":[{"award-number":["RP008C-13AFR"]}]},{"name":"MOE Malyaysia","award":["UM.C\/625\/1\/HIR\/MOE\/SC\/33\/1"],"award-info":[{"award-number":["UM.C\/625\/1\/HIR\/MOE\/SC\/33\/1"]}]},{"name":"UID Portugal","award":["UID\/EEA\/50008\/2013"],"award-info":[{"award-number":["UID\/EEA\/50008\/2013"]}]},{"name":"UID Portugal","award":["UID\/Multi\/00491\/2013"],"award-info":[{"award-number":["UID\/Multi\/00491\/2013"]}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2016,1,1]]},"abstract":"<jats:p>Dust grain charging processes are presented in a non-Maxwellian dusty plasma following the Cairns-Tsallis (q, \u03b1)\u2013distribution, whose constituents are the electrons, as well as the positive\/negative ions and negatively charged dust grains. For this purpose, we have solved the current balance equation for a negatively charged dust grain to achieve an equilibrium state value (viz., qd\u2009=\u2009constant) in the presence of Cairns-Tsallis (q, \u03b1)\u2013distribution. In fact, the current balance equation becomes modified due to the Boltzmannian\/streaming distributed negative ions. It is numerically found that the relevant plasma parameters, such as the spectral indexes q and \u03b1, the positive ion-to-electron temperature ratio, and the negative ion streaming speed (U0) significantly affect the dust grain surface potential. It is also shown that in the limit q \u2192 1 the Cairns-Tsallis reduces to the Cairns distribution; for \u03b1\u2009=\u20090 the Cairns-Tsallis distribution reduces to pure Tsallis distribution and the latter reduces to Maxwellian distribution for q \u2192 1 and \u03b1\u2009=\u20090.<\/jats:p>","DOI":"10.1063\/1.4940329","type":"journal-article","created":{"date-parts":[[2016,1,22]],"date-time":"2016-01-22T20:10:53Z","timestamp":1453493453000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":27,"title":["Dust charging processes with a Cairns-Tsallis distribution function with negative ions"],"prefix":"10.1063","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2661-5516","authenticated-orcid":false,"given":"A. A.","family":"Abid","sequence":"first","affiliation":[{"name":"Federal Urdu University of Arts 1 Applied Physics Department, , Science and Technology, Islamabad Campus, Islamabad 45320, Pakistan"}]},{"given":"M. Z.","family":"Khan","sequence":"additional","affiliation":[{"name":"Federal Urdu University of Arts 1 Applied Physics Department, , Science and Technology, Islamabad Campus, Islamabad 45320, Pakistan"},{"name":"University of Malaya 2 Plasma Technology Research Center, Department of Physics, Faculty of Science, , Kuala Lumpur 50603, Malaysia"}]},{"given":"S. L.","family":"Yap","sequence":"additional","affiliation":[{"name":"University of Malaya 2 Plasma Technology Research Center, Department of Physics, Faculty of Science, , Kuala Lumpur 50603, Malaysia"}]},{"given":"H.","family":"Ter\u00e7as","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es 3 Physics of Information Group, , Av. Rovisco Pais, Lisbon 1049-001, Portugal"}]},{"given":"S.","family":"Mahmood","sequence":"additional","affiliation":[{"name":"University of Saskatchewan 4 Science Place, , Saskatoon, Saskatchewan S7N5A2, Canada"}]}],"member":"317","published-online":{"date-parts":[[2016,1,22]]},"reference":[{"volume-title":"Introduction to Dusty Plasma Physics","year":"2002","key":"2023062119115579300_c1"},{"key":"2023062119115579300_c2","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1086\/163303","volume":"294","year":"1985","journal-title":"Astrophys. J."},{"key":"2023062119115579300_c3","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1029\/RG027i002p00271","volume":"27","year":"1989","journal-title":"Rev. Geophys."},{"key":"2023062119115579300_c4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2005.08.007","volume":"421","year":"2005","journal-title":"Phys. Rep."},{"key":"2023062119115579300_c5","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1016\/0032-0633(90)90147-I","volume":"38","year":"1990","journal-title":"Planet. Space Sci."},{"key":"2023062119115579300_c6","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/BF00644563","volume":"190","year":"1992","journal-title":"Astrophys. Space Sci."},{"key":"2023062119115579300_c7","doi-asserted-by":"publisher","first-page":"3563","DOI":"10.1063\/1.871121","volume":"2","year":"1995","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c8","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/S0032-0633(98)00098-1","volume":"47","year":"1998","journal-title":"Planet. Space Sci."},{"key":"2023062119115579300_c9","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1016\/0032-0633(93)90027-Y","volume":"41","year":"1993","journal-title":"Planet. Space Sci."},{"key":"2023062119115579300_c10","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1016\/0032-0633(93)90062-7","volume":"41","year":"1993","journal-title":"Planet. Space Sci."},{"key":"2023062119115579300_c11","doi-asserted-by":"publisher","first-page":"1009","DOI":"10.1088\/0022-3727\/28\/5\/024","volume":"28","year":"1995","journal-title":"J. Phys. D"},{"key":"2023062119115579300_c12","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1086\/152033","volume":"181","year":"1973","journal-title":"J. Astrophys."},{"key":"2023062119115579300_c13","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1016\/0032-0633(79)90128-4","volume":"27","year":"1979","journal-title":"Planet. Space Sci."},{"key":"2023062119115579300_c14","doi-asserted-by":"publisher","first-page":"2281","DOI":"10.1029\/JA092iA03p02281","volume":"92","year":"1987","journal-title":"J. Geophys. Res."},{"key":"2023062119115579300_c15","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1103\/PhysRevLett.68.313","volume":"68","year":"1992","journal-title":"Phys. Rev. Lett."},{"key":"2023062119115579300_c16","doi-asserted-by":"publisher","first-page":"838","DOI":"10.1103\/PhysRevLett.75.838","volume":"75","year":"1995","journal-title":"Phys. Rev. Lett."},{"key":"2023062119115579300_c17","doi-asserted-by":"publisher","first-page":"3093","DOI":"10.1103\/PhysRevLett.73.3093","volume":"73","year":"1994","journal-title":"Phys. Rev. Lett."},{"key":"2023062119115579300_c18","doi-asserted-by":"publisher","first-page":"1518","DOI":"10.1063\/1.1566745","volume":"10","year":"2003","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c19","doi-asserted-by":"publisher","first-page":"1117","DOI":"10.1017\/S0022377813001372","volume":"79","year":"2013","journal-title":"J. Plasma Phys."},{"key":"2023062119115579300_c20","doi-asserted-by":"publisher","first-page":"756","DOI":"10.1109\/27.199524","volume":"20","year":"1992","journal-title":"IEEE Trans, Plasma Sci."},{"key":"2023062119115579300_c21","doi-asserted-by":"publisher","first-page":"1827","DOI":"10.1029\/94GL00886","volume":"21","year":"1994","journal-title":"Geophys. Res. Lett."},{"key":"2023062119115579300_c22","doi-asserted-by":"publisher","first-page":"2709","DOI":"10.1029\/95GL02781","volume":"22","year":"1995","journal-title":"Geophys. Res. Lett."},{"key":"2023062119115579300_c23","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/s100530070115","volume":"11","year":"2000","journal-title":"Eur. Phys. J. D"},{"key":"2023062119115579300_c24","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1016\/S0960-0779(03)00056-0","volume":"18","year":"2003","journal-title":"Chaos, Solitons Fractals"},{"key":"2023062119115579300_c25","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1017\/S0022377805003673","volume":"72","year":"2006","journal-title":"J. Plasma Phys."},{"key":"2023062119115579300_c26","doi-asserted-by":"publisher","first-page":"095007","DOI":"10.1088\/0741-3335\/53\/9\/095007","volume":"53","year":"2011","journal-title":"Plasma Phys. Controlled Fusion"},{"key":"2023062119115579300_c27","doi-asserted-by":"publisher","first-page":"013703","DOI":"10.1063\/1.2831025","volume":"15","year":"2008","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c28","doi-asserted-by":"publisher","first-page":"102312","DOI":"10.1063\/1.3494245","volume":"17","year":"2010","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c29","doi-asserted-by":"publisher","first-page":"037401","DOI":"10.1103\/PhysRevE.80.037401","volume":"80","year":"2009","journal-title":"Phys. Rev. E"},{"key":"2023062119115579300_c30","doi-asserted-by":"publisher","first-page":"103703","DOI":"10.1063\/1.4754529","volume":"19","year":"2012","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c31","doi-asserted-by":"publisher","first-page":"016409","DOI":"10.1103\/PhysRevE.86.016409","volume":"86","year":"2012","journal-title":"Phys. Rev. E"},{"key":"2023062119115579300_c32","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/BF01016429","volume":"52","year":"1988","journal-title":"J. Stat. Phys."},{"key":"2023062119115579300_c33","doi-asserted-by":"publisher","first-page":"3260","DOI":"10.1103\/PhysRevE.61.3260","volume":"61","year":"2000","journal-title":"Phys. Rev. E"},{"key":"2023062119115579300_c34","doi-asserted-by":"publisher","first-page":"4821","DOI":"10.1016\/j.physa.2008.04.016","volume":"387","year":"2008","journal-title":"Physica A"},{"key":"2023062119115579300_c35","doi-asserted-by":"publisher","first-page":"102303","DOI":"10.1063\/1.3642639","volume":"18","year":"2011","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c36","doi-asserted-by":"publisher","first-page":"3164","DOI":"10.1016\/j.physleta.2012.05.001","volume":"376","year":"2012","journal-title":"Phys. Lett. A"},{"key":"2023062119115579300_c37","doi-asserted-by":"publisher","first-page":"042114","DOI":"10.1063\/1.3374429","volume":"17","year":"2010","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c38","doi-asserted-by":"publisher","first-page":"2839","DOI":"10.1029\/JA073i009p02839","volume":"73","year":"1968","journal-title":"J. Geophys. Res."},{"key":"2023062119115579300_c39","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1088\/0004-637X\/741\/2\/88","volume":"741","year":"2011","journal-title":"J. Astrophys."},{"key":"2023062119115579300_c40","doi-asserted-by":"publisher","first-page":"084507","DOI":"10.1063\/1.4928886","volume":"22","year":"2015","journal-title":"Phys. Plasmas"},{"key":"2023062119115579300_c41","doi-asserted-by":"publisher","first-page":"023103","DOI":"10.1103\/PhysRevE.88.023103","volume":"88","year":"2013","journal-title":"Phys. Rev. E"},{"key":"2023062119115579300_c42","doi-asserted-by":"publisher","first-page":"037401","DOI":"10.1103\/PhysRevE.85.037401","volume":"85","year":"2012","journal-title":"Phys. Rev. E"},{"key":"2023062119115579300_c43","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1088\/0031-8949\/73\/2\/009","volume":"73","year":"2006","journal-title":"Phys. Scr."},{"key":"2023062119115579300_c44","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1017\/S0022377898006837","volume":"60","year":"1998","journal-title":"J. Plasma Phys."},{"key":"2023062119115579300_c45","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1088\/0963-0252\/8\/1\/020","volume":"8","year":"1999","journal-title":"Plasma Sources. Sci. Technol."},{"key":"2023062119115579300_c46","doi-asserted-by":"publisher","first-page":"6451","DOI":"10.1063\/1.1516865","volume":"92","year":"2002","journal-title":"J. Appl. Phys."}],"container-title":["Physics of Plasmas"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/pop\/article-pdf\/doi\/10.1063\/1.4940329\/15717884\/013706_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/pop\/article-pdf\/doi\/10.1063\/1.4940329\/15717884\/013706_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,24]],"date-time":"2023-06-24T02:37:04Z","timestamp":1687574224000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/pop\/article\/23\/1\/013706\/108447\/Dust-charging-processes-with-a-Cairns-Tsallis"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1,1]]},"references-count":46,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1,1]]}},"URL":"https:\/\/doi.org\/10.1063\/1.4940329","relation":{},"ISSN":["1070-664X","1089-7674"],"issn-type":[{"type":"print","value":"1070-664X"},{"type":"electronic","value":"1089-7674"}],"subject":[],"published-other":{"date-parts":[[2016,1]]},"published":{"date-parts":[[2016,1,1]]},"article-number":"013706"}}