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Борис В. Васильев Сверхтекучесть и Сверхпроводимость
Борис В. Васильев
Сверхтекучесть и Сверхпроводимость
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åäèíèöå îáúåìà:<br />
(113) E H ≃ αn s<br />
m 2 v 2<br />
2<br />
= α m ej 2 s<br />
2n s e .<br />
Çäåñü j s = 2en s v s - ïëîòíîñòü òîêà ñâåðõïðîâîäÿùèõ<br />
íîñèòåëåé.<br />
Ñ ó÷åòîì óðàâíåíèÿ Ìàêñâåëëà<br />
(114) rotH = 4π c j s<br />
ìàãíèòíàÿ ýíåðãèÿ äâèæóùèõñÿ íîñèòåëåé ïðèâîäèòñÿ<br />
ê âèäó<br />
(115) E H ≃ ˜Λ 2<br />
8π (rotH)2 ,<br />
ãäå ââåäåíî îáîçíà÷åíèå<br />
√<br />
(116) ˜Λ = α m ec 2<br />
4πn s e = √ αΛ 2 L .<br />
 ýòîì ñëó÷àå ÷àñòü ñâîáîäíîé ýíåðãèè ñâåðõïðîâîäíèêà,<br />
ñâÿçàííàÿ ñ ïðèëîæåíèåì ìàãíèòíîãî<br />
ïîëÿ<br />
(117) F H = 1<br />
8π<br />
∫<br />
V<br />
(H 2 + ˜Λ<br />
)<br />
2 (rotH) 2 dv.<br />
Ìèíèìèçèðóÿ ñâîáîäíóþ ýíåðãèþ, ïîñëå<br />
íåñëîæíûõ ïðåîáðàçîâàíèé ïîëó÷àåì<br />
(118) H + ˜Λ 2 rotrotH = 0,<br />
è òàêèì îáðàçîì ˜Λ åñòü ãëóáèíà ïðîíèêíîâåíèÿ<br />
ìàãíèòíîãî ïîëÿ â ñâåðõïðîâîäíèê.<br />
130
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