{"id":209316,"date":"2024-03-21T14:07:16","date_gmt":"2024-03-21T14:07:16","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%83%87%e3%83%90%e3%82%a4%e9%95%b7%e3%81%ae%e5%85%ac%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95-%e5%bf%9c%e7%94%a8\/"},"modified":"2024-05-17T15:10:24","modified_gmt":"2024-05-17T15:10:24","slug":"%e3%83%87%e3%83%90%e3%82%a4%e9%95%b7%e3%81%ae%e5%85%ac%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95-%e5%bf%9c%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%83%87%e3%83%90%e3%82%a4%e9%95%b7%e3%81%ae%e5%85%ac%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95-%e5%bf%9c%e7%94%a8\/","title":{"rendered":"\u30c7\u30d0\u30a4\u9577\u306e\u516c\u5f0f | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5 &#038; \u5fdc\u7528"},"content":{"rendered":"<p class=\"sidekick\">\u30c7\u30d0\u30a4\u9577\u306e\u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u30d7\u30e9\u30ba\u30de\u7269\u7406\u5b66\u3084\u96fb\u89e3\u8cea\u6eb6\u6db2\u3001\u534a\u5c0e\u4f53\u30c7\u30d0\u30a4\u30b9\u306a\u3069\u3078\u306e\u5177\u4f53\u7684\u306a\u5fdc\u7528\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3059\u308b\u8a18\u4e8b\u3002<\/p>\n<h2>\u30c7\u30d0\u30a4\u9577\u306e\u516c\u5f0f | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5 &#038; \u5fdc\u7528<\/h2>\n<p>\u30c7\u30d0\u30a4\u9577\u306f\u96fb\u78c1\u6c17\u5b66\u3084\u30d7\u30e9\u30ba\u30de\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u6982\u5ff5\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u306e\u6570\u5024\u306f\u3001\u96fb\u8377\u304c\u7a7a\u9593\u7684\u306b\u3069\u306e\u7a0b\u5ea6\u306e\u8ddd\u96e2\u307e\u3067\u5f71\u97ff\u3092\u53ca\u307c\u3059\u304b\u3092\u793a\u3059\u6307\u6a19\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30c7\u30d0\u30a4\u9577\u306e\u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u304a\u3088\u3073\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>\u6982\u8981<\/h2>\n<p>\u30c7\u30d0\u30a4\u9577\uff08Debye length\uff09\u306f\u3001\u5b9f\u969b\u306e\u96fb\u8377\u5206\u5e03\u3068\u7406\u60f3\u7684\u306a\u7121\u9650\u7bc4\u56f2\u306e\u96fb\u5834\u304c\u7570\u306a\u308b\u8ddd\u96e2\u3092\u7279\u5fb4\u3065\u3051\u308b\u5c3a\u5ea6\u3067\u3059\u3002\u3053\u308c\u306f\u7279\u306b\u30d7\u30e9\u30ba\u30de\u3084\u96fb\u89e3\u8cea\u6eb6\u6db2\u5185\u3067\u306e\u4f7f\u7528\u304c\u591a\u3044\u3067\u3059\u3002\u30c7\u30d0\u30a4\u9577\u306f\u3001\u5e2f\u96fb\u7c92\u5b50\u7fa4\u304c\u3069\u308c\u3060\u3051\u306e\u8ddd\u96e2\u3067\u96fb\u6c17\u7684\u306b\u30b7\u30fc\u30eb\u30c9\u3055\u308c\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u30c7\u30d0\u30a4\u9577 \\(\\lambda_D\\) \u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\[<br \/>\n\\lambda_D = \\sqrt{\\frac{\\varepsilon k_B T}{n e^2}}<br \/>\n\\]<\/p>\n<p>\u3053\u3053\u3067\uff1a<\/p>\n<ul>\n<li>\\(\\varepsilon\\) \u306f\u771f\u7a7a\u306e\u8a98\u96fb\u7387<\/li>\n<li>\\(k_B\\) \u306f\u30dc\u30eb\u30c4\u30de\u30f3\u5b9a\u6570<\/li>\n<li>\\(T\\) \u306f\u6e29\u5ea6<\/li>\n<li>\\(n\\) \u306f\u96fb\u5b50\u6570\u5bc6\u5ea6<\/li>\n<li>\\(e\\) \u306f\u96fb\u5b50\u306e\u96fb\u8377<\/li>\n<\/ul>\n<h2>\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u30c7\u30d0\u30a4\u9577\u306e\u8a08\u7b97\u65b9\u6cd5\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u7269\u7406\u5b9a\u6570\u3068\u30b7\u30b9\u30c6\u30e0\u306e\u7279\u6027\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u30b9\u30c6\u30c3\u30d7\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<ol>\n<li>\u30b7\u30b9\u30c6\u30e0\u306e\u6e29\u5ea6 \\(T\\) \u3092\u6c7a\u5b9a\u3059\u308b\u3002<\/li>\n<li>\u30b7\u30b9\u30c6\u30e0\u5185\u306e\u96fb\u5b50\u6570\u5bc6\u5ea6 \\(n\\) \u3092\u6c42\u3081\u308b\u3002<\/li>\n<li>\u30dc\u30eb\u30c4\u30de\u30f3\u5b9a\u6570 \\(k_B\\)\u3001\u771f\u7a7a\u306e\u8a98\u96fb\u7387 \\(\\varepsilon\\)\u3001\u304a\u3088\u3073\u96fb\u5b50\u306e\u96fb\u8377 \\(e\\) \u306f\u5b9a\u6570\u3068\u3057\u3066\u65e2\u77e5\u3067\u3059\u3002<\/li>\n<li>\u3053\u308c\u3089\u306e\u5024\u3092\u516c\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u30c7\u30d0\u30a4\u9577 \\(\\lambda_D\\) \u3092\u8a08\u7b97\u3059\u308b\u3002<\/li>\n<\/ol>\n<p>\u4f8b\u3048\u3070\u3001\u4eee\u306b \\(T = 300 \\text{K}\\) (\u6442\u6c0f\u7d0427\u5ea6)\u3001\\(n = 10^{18} \\text{m}^{-3}\\) \u306e\u5834\u5408\u3001\u30c7\u30d0\u30a4\u9577\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\[<br \/>\n\\lambda_D = \\sqrt{\\frac{(8.85 \\times 10^{-12}) (1.38 \\times 10^{-23}) (300)}{(10^{18}) (1.6 \\times 10^{-19})^2}} \\approx 7.43 \\times 10^{-8} \\text{m}<br \/>\n\\]<\/p>\n<h2>\u5fdc\u7528<\/h2>\n<p>\u30c7\u30d0\u30a4\u9577\u306f\u3001\u591a\u304f\u306e\u73fe\u5b9f\u7684\u306a\u5fdc\u7528\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u6319\u3052\u307e\u3059\uff1a<\/p>\n<h3>1. \u30d7\u30e9\u30ba\u30de\u7269\u7406\u5b66<\/h3>\n<p>\u30d7\u30e9\u30ba\u30de\u72b6\u614b\u306e\u7406\u89e3\u306f\u767a\u96fb\u3084\u5b87\u5b99\u7814\u7a76\u306b\u91cd\u8981\u3067\u3059\u3002\u30c7\u30d0\u30a4\u9577\u3092\u77e5\u308b\u3053\u3068\u3067\u3001\u30d7\u30e9\u30ba\u30de\u304c\u3069\u306e\u7a0b\u5ea6\u5b89\u5b9a\u3057\u3066\u3044\u308b\u304b\u3001\u307e\u305f\u5236\u5fa1\u53ef\u80fd\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>2. \u96fb\u89e3\u8cea\u6eb6\u6db2<\/h3>\n<p>\u96fb\u6c60\u306e\u8a2d\u8a08\u3084\u71c3\u6599\u96fb\u6c60\u306e\u52b9\u7387\u5411\u4e0a\u306b\u304a\u3044\u3066\u3001\u30c7\u30d0\u30a4\u9577\u304c\u96fb\u89e3\u8cea\u306e\u7279\u6027\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u306f\u91cd\u8981\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u96fb\u8377\u79fb\u52d5\u3084\u30a4\u30aa\u30f3\u62e1\u6563\u306e\u52b9\u7387\u3092\u6700\u9069\u5316\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>3. \u534a\u5c0e\u4f53\u30c7\u30d0\u30a4\u30b9<\/h3>\n<p>\u30c7\u30d0\u30a4\u9577\u306f\u534a\u5c0e\u4f53\u5185\u306e\u30ad\u30e3\u30ea\u30a2\uff08\u96fb\u5b50\u3084\u30db\u30fc\u30eb\uff09\u306e\u5206\u5e03\u306b\u3082\u5f71\u97ff\u3057\u307e\u3059\u3002\u3053\u306e\u7279\u6027\u306f\u30c8\u30e9\u30f3\u30b8\u30b9\u30bf\u3084\u30c0\u30a4\u30aa\u30fc\u30c9\u306a\u3069\u306e\u30c7\u30d0\u30a4\u30b9\u8a2d\u8a08\u306b\u304a\u3044\u3066\u91cd\u8981\u3067\u3059\u3002<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u30c7\u30d0\u30a4\u9577\u306f\u3001\u96fb\u8377\u306e\u5206\u5e03\u3084\u30b7\u30fc\u30eb\u30c9\u52b9\u679c\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u305d\u306e\u8a08\u7b97\u306f\u7269\u7406\u5b9a\u6570\u3068\u30b7\u30b9\u30c6\u30e0\u306e\u7279\u6027\u306b\u57fa\u3065\u3044\u3066\u884c\u308f\u308c\u3001\u591a\u304f\u306e\u5fdc\u7528\u304c\u73fe\u5b9f\u4e16\u754c\u3067\u5f79\u7acb\u3063\u3066\u3044\u307e\u3059\u3002\u30d7\u30e9\u30ba\u30de\u3001\u96fb\u89e3\u8cea\u6eb6\u6db2\u3001\u534a\u5c0e\u4f53\u306a\u3069\u3001\u69d8\u3005\u306a\u5206\u91ce\u3067\u306e\u5fdc\u7528\u4f8b\u306f\u3001\u3053\u306e\u6982\u5ff5\u306e\u5e83\u7bc4\u306a\u91cd\u8981\u6027\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30c7\u30d0\u30a4\u9577\u306e\u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u30d7\u30e9\u30ba\u30de\u7269\u7406\u5b66\u3084\u96fb\u89e3\u8cea\u6eb6\u6db2\u3001\u534a\u5c0e\u4f53\u30c7\u30d0\u30a4\u30b9\u306a\u3069\u3078\u306e\u5177\u4f53\u7684\u306a\u5fdc\u7528\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3059\u308b\u8a18\u4e8b\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[96],"tags":[97],"class_list":["post-209316","post","type-post","status-publish","format-standard","hentry","category-96","tag-97","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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