{"id":186,"date":"2025-02-20T15:04:36","date_gmt":"2025-02-20T06:04:36","guid":{"rendered":"http:\/\/hide36nishikawa.com\/research\/?p=186"},"modified":"2025-09-24T17:04:54","modified_gmt":"2025-09-24T08:04:54","slug":"long-range-hydro","status":"publish","type":"post","link":"http:\/\/hide36nishikawa.com\/research\/2025\/02\/20\/long-range-hydro\/","title":{"rendered":"\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u30b9\u30d4\u30f3\u7cfb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u62e1\u6563"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"344\" src=\"http:\/\/hide36nishikawa.com\/research\/wp-content\/uploads\/2025\/02\/long-range-spin.001-1-1024x344.jpeg\" alt=\"\" class=\"wp-image-187\" srcset=\"http:\/\/hide36nishikawa.com\/research\/wp-content\/uploads\/2025\/02\/long-range-spin.001-1-1024x344.jpeg 1024w, http:\/\/hide36nishikawa.com\/research\/wp-content\/uploads\/2025\/02\/long-range-spin.001-1-300x101.jpeg 300w, http:\/\/hide36nishikawa.com\/research\/wp-content\/uploads\/2025\/02\/long-range-spin.001-1-768x258.jpeg 768w, http:\/\/hide36nishikawa.com\/research\/wp-content\/uploads\/2025\/02\/long-range-spin.001-1-1200x403.jpeg 1200w, http:\/\/hide36nishikawa.com\/research\/wp-content\/uploads\/2025\/02\/long-range-spin.001-1.jpeg 1320w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-small-font-size\">\u535a\u58eb\u8ab2\u7a0b\u306e\u96c6\u5927\u6210\u3068\u306a\u308b\u8ad6\u6587\u304c\u3088\u3046\u3084\u304f\u51fa\u305f\u306e\u3067\u3001\u4e45\u3005\u306eHP\u66f4\u65b0\uff06\u5ba3\u4f1d\u3067\u3059\uff01<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u30b9\u30d4\u30f3\u7cfb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u62e1\u6563\u306b\u3064\u3044\u3066\u3001\u5178\u578b\u7684\u306a\u8907\u6570\u306e\u7cfb\u3067\u540c\u3058\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3092\u793a\u3059\u3053\u3068\u3092\u3001\u3086\u3089\u3050\u6d41\u4f53\u529b\u5b66\u3068\u30ad\u30e5\u30e0\u30e9\u30f3\u30c8\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406(New!)\u3092\u7528\u3044\u3066\u3001\u7406\u8ad6\u30fb\u6570\u5024\u7684\u306b\u793a\u3057\u307e\u3057\u305f\u3002\u6307\u5c0e\u6559\u5b98\u306e\u9f4a\u85e4\u3055\u3093\u3068\u306e\u5171\u8457\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\"><a href=\"https:\/\/arxiv.org\/abs\/2502.10139\">https:\/\/arxiv.org\/abs\/2502.10139<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size\">\u3010\u7d50\u679c\u306e\u307e\u3068\u3081\u3011<\/p>\n\n\n\n<p 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class=\"has-small-font-size\">\u4eca\u56de\u3001\u6a2a\u78c1\u5834Ising\u30fbXY\u30fbXYZ\u3067\u540c\u3058\u7d50\u679c\u3092\u4e0e\u3048\u3066\u304a\u308a\u3001\u9577\u8ddd\u96e2\u30b9\u30d4\u30f3\u7cfb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u62e1\u6563\u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306f\u666e\u904d\u7684\u306a\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u5404\u3005\u306e\u8a3c\u660e\u306f\u500b\u5225\u5177\u4f53\u7684\u306a\u3082\u306e\u3067\u3001\u80cc\u666f\u306b\u3088\u308a\u6df1\u3044\u666e\u904d\u7684\u306a\u7269\u7406\u304c\u3042\u308b\u306e\u304b\u3069\u3046\u304b\u306f\u307e\u3060\u5206\u304b\u3063\u3066\u3044\u307e\u305b\u3093\u3002\u4eca\u5f8c\u660e\u3089\u304b\u306b\u3057\u3066\u3044\u304d\u305f\u3044\u3068\u3053\u308d\u3067\u3059\u3002\u307e\u305f\u3001\u03b1&lt;D\u3067\u306e\u3075\u308b\u307e\u3044\u306b\u3064\u3044\u3066\u3082\u4f9d\u7136\u91cd\u8981\u306a\u672a\u89e3\u6c7a\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\"><\/p>\n\n\n\n<p class=\"has-small-font-size\">\u4ee5\u4e0b\u3001\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406\u3068\u3086\u3089\u3050\u6d41\u4f53\u529b\u5b66\u306b\u3064\u3044\u3066\u306e\u88dc\u8db3\u7684\u306a\u89e3\u8aac\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u4eca\u56de\u306e\u7d50\u679c\u3067\u3001\u500b\u4eba\u7684\u306b\u91cd\u8981\u3060\u3068\u601d\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u60c5\u5831\u4f1d\u64ad\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406\u3092\u8f38\u9001\u73fe\u8c61\u306b\u9069\u7528\u3057\u305f\u3068\u3053\u308d\u3067\u3059\u3002\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406\u306f\u3001\u9ad8\u6e29\u74b0\u5883\u306b\u304a\u3044\u3066\u7269\u7406\u91cf\u306e\u76f8\u95a2\u306e\u6e1b\u8870\u3092\u5b9a\u3081\u308b\u5b9a\u7406\u3067\u3042\u308a\u3001\u77ed\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u7cfb\u3067\u306f\u3001\u96e2\u308c\u305f2\u3064\u306e\u7269\u7406\u91cf\u306e\u76f8\u95a2\u304c\u8ddd\u96e2\u306b\u3064\u3044\u3066\u6307\u6570\u6e1b\u8870\u3059\u308b\u3001\u3068\u3044\u3046\u6027\u8cea\u3092\u6307\u3057\u307e\u3059\u3002\u5b9f\u9a13\u5ba4\u3067\u5b9f\u9a13\u3057\u3066\u3044\u308b\u6642\u306b\u3001\uff08\u91cd\u529b\u306a\u3069\u306e\u9577\u8ddd\u96e2\u529b\u3092\u9664\u3051\u3070\u3001\uff09\u9060\u3044\u5b87\u5b99\u306e\u5f71\u97ff\u306f\u8003\u3048\u306a\u304f\u3066\u3082\u3044\u3044\u3088\u306d\u3001\u3068\u3044\u3046\u7d4c\u9a13\u4e8b\u5b9f\u3092\u6570\u5b66\u7684\u306b\u53b3\u5bc6\u5316\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u7cfb\u3067\u306f\u3001\u8ddd\u96e2\u306b\u3064\u3044\u3066\u306e\u51aa\u6e1b\u8870\u306b\u306a\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3059\u3002\u307e\u305f\u3001\u3053\u306e\u5b9a\u7406\u3092\u7528\u3044\u3066\u3001\u4f4e\u6e29\u74b0\u5883\u3067\u306eETH\uff08\u56fa\u6709\u72b6\u614b\u71b1\u5316\u4eee\u8aac\uff09[Kuwahara &amp; Saito, PRL 2020, Ann. Phys. 2020]\u3084\u3001\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u7cfb\u3067\u306eThermal Area Law [Donghoon et al., PRL 2025] \u3092\u53b3\u5bc6\u306b\u8a3c\u660e\u3067\u304d\u305f\u308a\u3068\u3001\u71b1\u5e73\u8861\u5316\u3084\u76f8\u4e92\u60c5\u5831\u91cf\u3068\u3082\u5bc6\u63a5\u306a\u95a2\u308f\u308a\u304c\u3042\u308a\u3001\u7d71\u8a08\u7269\u7406\u306b\u304a\u3051\u308b\u3082\u3063\u3068\u3082\u6df1\u9060\u306a\u5b9a\u7406\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u60c5\u5831\u4f1d\u64ad\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406\u3067\u3059\u304c\u3001\u4eca\u56de\u65b0\u305f\u306b\u793a\u3057\u305f\u30ad\u30e5\u30e0\u30e9\u30f3\u30c8\u306b\u3064\u3044\u3066\u306e\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406\u304c\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u8f38\u9001\u306b\u3082\u5fdc\u7528\u3067\u304d\u308b\u3053\u3068\u306f\u3001\u591a\u4f53\u7cfb\u306e\u6570\u7406\u7269\u7406\u3068\u3057\u3066\u3082\u65b0\u3057\u3044\u793a\u5506\u3092\u4e0e\u3048\u3066\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u3055\u3089\u306b\u306f\u3001\u3086\u3089\u3050\u6d41\u4f53\u306b\u3088\u308b\u6709\u52b9\u7406\u8ad6\u3082\u65b0\u3057\u304f\u975e\u81ea\u660e\u306a\u3082\u306e\u3060\u3068\u601d\u3063\u3066\u3044\u307e\u3059\u3002\u3086\u3089\u3050\u6d41\u4f53\u529b\u5b66\u306f\u3001\u683c\u5b50\u7cfb\u306e\u71b1\u4f1d\u5c0e\u3092\u8a18\u8ff0\u3059\u308b\u6709\u52b9\u7406\u8ad6\u3068\u3057\u3066\u8fd1\u5e74\u6ce8\u76ee\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u7279\u306b\u3001\u4f4e\u6b21\u5143\u7cfb\u3067\u306e\u71b1\u4f1d\u5c0e\u7387\u306e\u767a\u6563\uff08\u7570\u5e38\u71b1\u8f38\u9001\uff09\u3092\u8aac\u660e\u3059\u308b\u6709\u52b9\u7406\u8ad6\u3068\u3057\u3066\u3001Spohn\u306b\u3088\u308b\u975e\u7dda\u5f62\u3086\u3089\u3050\u6d41\u4f53\u529b\u5b66 [Spohn, J. Stat. Phys. 2014] \u304c\u63d0\u6848\u3055\u308c\u3001KPZ\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3092\u793a\u3059\u3053\u3068\u304b\u3089\u3082\u69d8\u3005\u306a\u6587\u8108\u3067\u6ce8\u76ee\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u975e\u7dda\u5f62\u683c\u5b50\u7cfb\u306b\u304a\u3051\u308b\u3086\u3089\u3050\u6d41\u4f53\u3092\u30df\u30af\u30ed\u304b\u3089\u5c0e\u51fa\u3059\u308b\u305f\u3081\u306b\u3001Zwanzig\u306e\u5c04\u5f71\u6f14\u7b97\u5b50\u6cd5\u3092\u7528\u3044\u305f\u7406\u8ad6\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u307e\u3059\u304c [Saito et al., PRL 2021]\u3001\u4eca\u56de\u306e\u7406\u8ad6\u306f\u305d\u306e\u624b\u6cd5\u3092\u63f4\u7528\u3057\u3066\u3044\u307e\u3059\u3002\uff08\u30df\u30af\u30ed\u304b\u3089\u306e\u3086\u3089\u3050\u6d41\u4f53\u306e\u53b3\u5bc6\u306a\u5c0e\u51fa\u306f\u975e\u5e38\u306b\u56f0\u96e3\u306a\u306e\u3067\u3001Markov\u5316\u306a\u3069\u306e\u8fd1\u4f3c\u3092\u7528\u3044\u3066\u3044\u307e\u3059\u3002\uff09\u4eca\u56de\u306f\u3001\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u7cfb\u306e\u3086\u3089\u3050\u6d41\u4f53\u3092\u5c0e\u51fa\u3057\u3066\u304a\u308a\u3001\u30b9\u30d4\u30f3\u7cfb\u306a\u306e\u3067Euler\u30ab\u30ec\u30f3\u30c8\u306f\u5b58\u5728\u305b\u305a\u3001long-time tail\u3082\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u9577\u8ddd\u96e2\u6027\u3092\u53cd\u6620\u3057\u305f\u975e\u5c40\u6240\u7684\u306a\u62e1\u6563\u9805\u304c\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002 \u3053\u306e\u3086\u3089\u3050\u6d41\u4f53\u8a18\u8ff0\u304c\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u7cfb\u3067\u3082\u6709\u52b9\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u306e\u3082\u91cd\u8981\u306a\u3053\u3068\u3060\u3068\u601d\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\"><\/p>\n\n\n\n<p class=\"has-small-font-size\">\u3053\u306e\u30c6\u30fc\u30de\u306f\u3001M1\u306e\u590f\u3001\u9f4a\u85e4\u3055\u3093\u306e\u300c\u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u7cfb\u306b\u6d41\u4f53\u529b\u5b66\u306f\u3042\u308b\u306e\u304b\uff1f\u300d\u3068\u3044\u3046\u554f\u3044\u304b\u3051\u4ee5\u6765\u3001\u305a\u3063\u3068\u8003\u3048\u3066\u7d9a\u3051\u3066\u3044\u305f\u3082\u306e\u3067\u3059\u30024\u5e74\u8d8a\u3057\u306b\u3088\u3046\u3084\u304f\u3001\uff08\u30b9\u30d4\u30f3\u7cfb\u3067\u306e\u3086\u3089\u3050\u6d41\u4f53\u306b\u3064\u3044\u3066\u306f\u3001\uff09\u3072\u3068\u3064\u306e\u89e3\u7b54\u3092\u4e0e\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u3068\u601d\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u4fee\u58eb\u306f\u30c6\u30fc\u30de\u304c\u96e3\u3057\u3059\u304e\u3066\u82e6\u3057\u3044\u6642\u671f\u304c\u7d9a\u304d\u307e\u3057\u305f\u304c\u3001\u305d\u306e\u6642\u306e\u3086\u3089\u3050\u6d41\u4f53\u3084\u7570\u5e38\u71b1\u8f38\u9001\u306b\u3064\u3044\u3066\u306e\u7406\u89e3\u304c\u4eca\u56de\u306e\u7d50\u679c\u306b\u7e4b\u304c\u3063\u305f\u3068\u601d\u3046\u3068\u3061\u3087\u3063\u3068\u611f\u6168\u6df1\u3044\u3068\u3053\u308d\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u71b1\u304c\u5165\u3063\u3066\u9577\u3044\u89e3\u8aac\u306b\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u3002\u3053\u3053\u307e\u3067\u8aad\u3093\u3067\u304f\u3060\u3055\u3063\u3066\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3059\u3002\u8ad6\u6587\u306e\u65b9\u3082\u9577\u3044\uff08\u7d0440\u30da\u30fc\u30b8\uff09\u3067\u3059\u304c\u3001\u3067\u304d\u308b\u3060\u3051\u4e01\u5be7\u306b\u66f8\u3044\u305f\u3064\u3082\u308a\u3067\u3059\u306e\u3067\u3001\u305c\u3072\u8aad\u3093\u3067\u307f\u3066\u304f\u3060\u3055\u308b\u3068\u5b09\u3057\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u535a\u58eb\u8ab2\u7a0b\u306e\u96c6\u5927\u6210\u3068\u306a\u308b\u8ad6\u6587\u304c\u3088\u3046\u3084\u304f\u51fa\u305f\u306e\u3067\u3001\u4e45\u3005\u306eHP\u66f4\u65b0\uff06\u5ba3\u4f1d\u3067\u3059\uff01 \u9577\u8ddd\u96e2\u76f8\u4e92\u4f5c\u7528\u30b9\u30d4\u30f3\u7cfb\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u62e1\u6563\u306b\u3064\u3044\u3066\u3001\u5178\u578b\u7684\u306a\u8907\u6570\u306e\u7cfb\u3067\u540c\u3058\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3092\u793a\u3059\u3053\u3068\u3092\u3001\u3086\u3089\u3050\u6d41\u4f53\u529b\u5b66\u3068\u30ad\u30e5\u30e0\u30e9\u30f3\u30c8\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u5b9a\u7406(N [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"templates\/template-full-width.php","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[11,10,9],"class_list":["post-186","post","type-post","status-publish","format-standard","hentry","category-8","tag-11","tag-10","tag-9"],"_links":{"self":[{"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/posts\/186","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/comments?post=186"}],"version-history":[{"count":11,"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/posts\/186\/revisions"}],"predecessor-version":[{"id":295,"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/posts\/186\/revisions\/295"}],"wp:attachment":[{"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/media?parent=186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/categories?post=186"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/hide36nishikawa.com\/research\/wp-json\/wp\/v2\/tags?post=186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}