Уравнение Пиппарда

Уравнение Пиппарда
Названо в честь	Брайан Пиппард
Определяющая формула	${\vec {J}}({\vec {r}})=-{\frac {3ne^{2}}{4\pi \xi _{0}mc}}\int {\frac {{\vec {R}}\left({\vec {R}}\cdot {\vec {A}}({\vec {r}}')\right)}{R^{4}}}\exp \left(-{\frac {R}{\xi _{P}}}\right)\,d^{3}{\vec {r}}'$

Уравнение Пиппарда устанавливает нелокальную связь между током и векторным потенциалом в чистых сверхпроводниках. Впервые оно было получено в 1953 году А. Б. Пиппардом^[1]. Применяется наряду с уравнениями Лондонов для описания электродинамики сверхпроводников.

Формулировка

В системе СГС^[2]:

{\vec {J}}({\vec {r}})=-{\frac {3ne^{2}}{4\pi \xi _{0}mc}}\int {\frac {{\vec {R}}\left({\vec {R}}\cdot {\vec {A}}({\vec {r}}')\right)}{R^{4}}}\exp \left(-{\frac {R}{\xi _{P}}}\right)\,d^{3}{\vec {r}}',

где ${\vec {J}}({\vec {r}})$ — плотность тока, ${\vec {A}}$ — векторный потенциал, ${\vec {R}}={\vec {r}}-{\vec {r}}'$ — разность радиус-векторов, ${\frac {1}{\xi _{P}}}={\frac {1}{\xi _{0}}}+{\frac {1}{l}}$ , $\xi _{0}$ — длина когерентности, $l$ — длина свободного пробега электронов. Величина $\xi _{P}$ определяет радиус действия ядра. Уравнение Лондонов справедливо, если $\lambda (T)\gg \xi _{P}$ , где $\lambda$ — глубина проникновения магнитного поля в сверхпроводник.

Примечания

↑ Pippard A. B., Proc. Roy. Soc., A216, 547 (1953).
↑ Киттель Ч. Квантовая теория твёрдых тел (рус.). — М.: Наука, 1967. — С. 205—207, уравнение (8.137).

Литература

Рекомендуемая

Тилли Д. Р., Тилли Дж. Сверхтекучесть и сверхпроводимость. — М.: Мир, 1977. — 304 с.
Уравнение Пиппарда — статья из Физической энциклопедии в 5 томах. — М.: Советская энциклопедия. Главный редактор А. М. Прохоров. 1988.

Read other articles:

Barack Obama "Joker" poster

Digitally manipulated image of former United States President Barack Obama US president Barack Obama depicted as the Joker, a comic book supervillain, based on the portrayal by Heath Ledger in The Dark Knight. The Barack Obama Joker poster is a manipulated image of Barack Obama, then president of the United States, used by some critics of the Obama administration.[1][2] The image was created by Firas Alkhateeb in January 2009, and portrays Obama as comic book supervillain Joke...

Armée de l'air tunisienne

Armée de l'air tunisienneالقوات الجوية التونسية Insigne de l'Armée de l'air tunisienne. Création 1959 Pays Tunisie Branche Air Rôle Défense aérienne de la Tunisie Fait partie de Armée tunisienne Garnison Bases Surnom TAF Couleurs Anniversaire 24 juillet Guerres Guerre contre le terrorisme Batailles Bataille de ChaambiBataille de Ben Gardane Commandant Général de brigade Mohamed El Hajjam[1] (chef d'état-major) modifier L'Armée de l'air tunisienne est l'un...

Vidyapati

Maithili and Sanskrit poet, composer and writer VidyapatiStatue of VidyapatiPersonalBornc. 1352 (1352)Bisfi (present day Madhubani Bihar, India)[1]Died1448(1448-00-00) (aged 95–96)Bisfi[1]ReligionHinduismSectShaktismAlma materAncient Mithila UniversityInstituteBanauli Vidyapati Dih, Bisfi Vidyapati DihHonoursKavi Kokila Vidyapati (c. 1352 – 1448), also known by the sobriquet Maithil Kavi Kokil (the poet cuckoo of Maithili), was a Maithili and...

Keyboard shortcut

Series of computer keys to quickly invoke a software program or perform a preprogrammed action For Wikipedia keyboard shortcuts, see Wikipedia:Keyboard shortcuts. This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Keyboard shortcut – news · newspapers · books · scholar · JSTOR (December 2010) (Learn how and whe...

Lilian Violet Cooper

British-born Australian medical doctor This article is about the Australian doctor. For the British actor, see Lillian Kemble-Cooper. Lilian Violet CooperMBBS, MS, FRACSBorn(1861-08-11)11 August 1861Clapham, south west LondonDied18 August 1947(1947-08-18) (aged 86)Brisbane, QueenslandEducation London School of Medicine for Women Royal College of Physicians, Edinburgh Royal College of Surgeons Edinburgh Faculty of Physicians and Surgeons Glasgow OccupationSurgeonMedical careerProfessionSu...

Biamanga National Park

Protected area in New South Wales, AustraliaBiamanga National ParkNew South WalesIUCN category II (national park) Mumbulla Mountain from the Princes Highway, AustraliaBiamanga National ParkNearest town or cityBegaCoordinates36°27′04″S 149°56′31″E / 36.45111°S 149.94194°E / -36.45111; 149.94194Established1994Area137.49 km2 (53.1 sq mi)[1]Managing authoritiesNSW National Parks and Wildlife ServiceWebsiteBiamanga National ParkSee alsoPr...

Geography of Slovakia

A topographical map of Slovakia Map of Slovakia with the main mountain ranges Slovakia is a landlocked Central European country with mountainous regions in the north and flat terrain in the south.[1] During much of the Holocene, Slovakia was much more forested than today.[1] Decline of the forest occurred in as consequence of the Valachian colonization and the development of mining in the territory.[1] Statistics Land use: agricultural land: 40.1% arable land: 28.9%; ...

Yonex

Japanese sports equipment manufacturing company Yonex Co., Ltd.Native nameヨネックス株式会社Romanized nameYonekkusu Kabushiki-gaishaCompany typePublicTraded asTYO: 7906IndustrySports equipmentFounded1946; 78 years ago (1946) (incorporated in 1958)FounderMinoru YoneyamaHeadquartersBunkyō-ku, Tokyo, JapanArea servedWorldwideKey peopleBen Yoneyama [jp],[1] Chairman Alyssa Yoneyama, PresidentProductsRackets, tennis balls, shuttlecocks, golf clubs, ...

Commandement médical européen

Si ce bandeau n'est plus pertinent, retirez-le. Cliquez ici pour en savoir plus. Cet article n’est pas rédigé dans un style encyclopédique (juin 2021). Vous pouvez améliorer sa rédaction ! Si ce bandeau n'est plus pertinent, retirez-le. Cliquez ici pour en savoir plus. Cet article ne cite pas suffisamment ses sources (juin 2021). Si vous disposez d'ouvrages ou d'articles de référence ou si vous connaissez des sites web de qualité traitant du thème abordé ici, merci de complé...

.ss

.ss adalah top-level domain kode negara Internet untuk Sudan Selatan. .ss adalah domain tingkat atas kode negara (ccTLD) untuk Sudan Selatan dalam Sistem Nama Domain Internet. Ini berasal dari kode ISO 3166-1 alpha-2 untuk Sudan Selatan.Menurut CIO Afrika Timur, TLD dialokasikan pada 10 Agustus 2011 menyusul deklarasi kemerdekaan negara tersebut dari sudan[1]. TLD telah didaftarkan pada tanggal 31 Agustus 2011, tetapi tidak ditambahkan ke zona root DNS dan karena itu tidak beroperasi....

Kinzua Bridge

Former railway bridge in Pennsylvania, United States Kinzua BridgeThe bridge before its collapseCoordinates41°45′40″N 78°35′19″W / 41.76111°N 78.58861°W / 41.76111; -78.58861CrossedKinzua CreekLocaleMcKean, Pennsylvania, United StatesOther name(s)Kinzua ViaductNamed forKinzua, Seneca for fish on a spearMaintained byPennsylvania Department of Conservation and Natural ResourcesCharacteristicsDesignRailroad bridgeTotal length2,052 ft (625 m)[1 ...

قائمة زملاء الجمعية الملكية المنتخبين في 1918

هذه المقالة بحاجة لصندوق معلومات. فضلًا ساعد في تحسين هذه المقالة بإضافة صندوق معلومات مخصص إليها. يفتقر محتوى هذه المقالة إلى الاستشهاد بمصادر. فضلاً، ساهم في تطوير هذه المقالة من خلال إضافة مصادر موثوق بها. أي معلومات غير موثقة يمكن التشكيك بها وإزالتها. (أغسطس 2020) هذه الص...

Sozialdemokratische Partei Europas

Sozialdemokratische Partei Europas Parteivorsitzender Stefan Löfven Generalsekretär Giacomo Filibeck Gründung 10. November 1992 Gründungsort Den Haag Hauptsitz rue Guimard, 10-121040 BrüsselBelgien Ausrichtung SozialdemokratieProgressivismus Farbe(n) rot Jugendorganisation Young European Socialists (YES) Zeitung The Progressive Post[1] Parteinahe Stiftung Foundation for European Progressive Studies Staatliche Zuschüsse 8.335.677 € (2020)[2] Sitze EU-Parlam...

جائحة فيروس كورونا في كانساس 2020

جائحة فيروس كورونا في كانساس 2020 المكان كانساس الوفيات 1 الحالات المؤكدة 8 تعديل مصدري - تعديل أُكد وصول جائحة كوفيد-19 إلى ولاية كانساس الأمريكية في 7 مارس 2020. الخط الزمني سُجلت أول حالة في مقاطعة جونسون في السابع من مارس. كانت المصابة امرأةً لم تبلغ الخمسين ...

Madiun Affair

Conflict between the Indonesian government and the leftist opposition group led by the PKI in 1948 This article is written like a personal reflection, personal essay, or argumentative essay that states a Wikipedia editor's personal feelings or presents an original argument about a topic. Please help improve it by rewriting it in an encyclopedic style. (March 2018) (Learn how and when to remove this message) Madiun AffairPart of the Indonesian National RevolutionGroup of handcuffed men being d...

تبجيل

تبجيل في نوتو القديس كونراد من بياتشنزا (سان كورادو) تبجيل (لغة لاتينية veneratio، لغة يونانية δουλεία، douleia)، أو تبجيل القديسين، هو عمل خاص لتكريم القديس، وهوالشخص الذي يتميز بامتلاكه قدرًا كبيرًا من القدسية أو القداسة.[1] وتحظى الملائكة بتبجيلٍ مماثل في العديد من الديانات....

Spirited (film)

2022 film by Sean Anders and John Morris For the 2010–11 television show, see Spirited. SpiritedPosterDirected bySean AndersWritten by Sean Anders John Morris Based onA Christmas Carolby Charles DickensProduced by Sean Anders John Morris David Koplan George Dewey Will Ferrell Jessica Elbaum Starring Will Ferrell Ryan Reynolds Octavia Spencer Sunita Mani Patrick Page Marlow Barkley Tracy Morgan CinematographyKramer MorgenthauEdited byBrad WilhiteMusic by Dominic Lewis (score) Pasek and Paul ...

Ecosystem of the North Pacific Subtropical Gyre

Major circulating ecosystem of ocean currents The North Pacific Subtropical Gyre (NPSG) is the largest contiguous ecosystem on earth. In oceanography, a subtropical gyre is a ring-like system of ocean currents rotating clockwise in the Northern Hemisphere and counterclockwise in the Southern Hemisphere caused by the Coriolis Effect. They generally form in large open ocean areas that lie between land masses. The NPSG is the largest of the gyres as well as the largest ecosystem on our planet. L...

Salvador

Pour les articles homonymes, voir Salvador (homonymie). République du Salvador(es) República de El Salvador Drapeau du Salvador Armoiries du Salvador Devise en espagnol : Dios, Unión, Libertad (« Dieu, union, liberté ») Hymne en espagnol : Himno Nacional de El Salvador (« Hymne national du Salvador ») Fête nationale 15 septembre · Événement commémoré Indépendance vis-à-vis de l'Espagne (1821) Administration Forme de l'Ét...

Fairview, Dublin

Northern suburb of Dublin, Ireland Suburb in Leinster, IrelandFairview FionnradharcSuburbFairview pictured from a pedestrian bridge, with Fairview Park to the leftFairviewLocation in IrelandCoordinates: 53°21′54″N 6°13′48″W / 53.365°N 6.23°W / 53.365; -6.23CountryIrelandProvinceLeinsterCountyDublinLocal authorityDublin City CouncilElevation4 m (13 ft)Time zoneUTC+0 (WET) • Summer (DST)UTC-1 (IST (WEST)) Fairview (Irish: Fionnradharc)&#...