{"id":56599,"date":"2025-02-20T17:18:34","date_gmt":"2025-02-20T09:18:34","guid":{"rendered":"https:\/\/swarma.org\/?p=56599"},"modified":"2025-02-20T17:18:34","modified_gmt":"2025-02-20T09:18:34","slug":"pre%e9%80%9f%e9%80%92%ef%bc%9a%e5%8a%a8%e5%8a%9b%e5%ad%a6%e7%b2%97%e7%b3%99%e5%8c%96%e8%bf%87%e7%a8%8b%ef%bc%88kinetic-roughening-processes%ef%bc%89%e4%b8%ad%e7%9a%84%e6%b6%8c%e7%8e%b0","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=56599","title":{"rendered":"PRE\u901f\u9012\uff1a\u52a8\u529b\u5b66\u7c97\u7cd9\u5316\u8fc7\u7a0b\uff08Kinetic roughening processes\uff09\u4e2d\u7684\u6d8c\u73b0"},"content":{"rendered":"
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\u957f\u7a0b\u65f6\u95f4\u76f8\u5173\u6027\u5728\u52a8\u529b\u5b66\u7c97\u7cd9\u5316\u8fc7\u7a0b\u4e2d\u7684\u4f5c\u7528\u5341\u5206\u91cd\u8981\uff0c\u53ef\u80fd\u4f1a\u5f71\u54cd\u8868\u9762\u5f62\u6001\u548c\u52a8\u6001\u6807\u5ea6\u7279\u6027\u3002\u8fd9\u79cd\u76f8\u5173\u6027\u5728\u751f\u957f\u8fc7\u7a0b\u4e2d\u4f5c\u4e3a\u975e\u5c40\u90e8\u76f8\u4e92\u4f5c\u7528\uff0c\u901a\u8fc7\u5c40\u90e8\u76f8\u4e92\u4f5c\u7528\u5bfc\u81f4\u975e\u5e73\u51e1\u5168\u5c40\u6027\u8d28\u7684\u51fa\u73b0\uff0c\u4ece\u800c\u7834\u574f\u4e86\u81ea\u4eff\u5c04\u5206\u5f62\u7ed3\u6784\u3002\u5728\u8fd9\u9879\u5de5\u4f5c\u4e2d\uff0c\u5bf9\u4e24\u79cd\u5178\u578b\u7684\u79bb\u6563\u751f\u957f\u6a21\u578b\uff0c\u5373\u968f\u673a\u6c89\u79ef\u548c\u5f39\u9053\u6c89\u79ef\uff0c\u5728\u5b58\u5728\u957f\u7a0b\u65f6\u95f4\u76f8\u5173\u6027\u7684\u60c5\u51b5\u4e0b\u8fdb\u884c\u4e86\u6570\u503c\u7814\u7a76\u3002\u72ec\u7acb\u4f7f\u7528\u4e86\u4e24\u79cd\u5b9a\u91cf\u6d4b\u91cf\u65b9\u6cd5\uff0c\u5373Hellinger\u8ddd\u79bb\u548c\u65b0\u9896\u6027\u68c0\u6d4b\uff0c\u6765\u786e\u5b9a\u662f\u5426\u51fa\u73b0\u6d8c\u73b0\u73b0\u8c61\u3002\u6211\u4eec\u7684\u6a21\u62df\u7ed3\u679c\u8868\u660e\uff0c\u5728\u65f6\u95f4\u76f8\u5173\u6027\u6307\u6570\u8d85\u8fc7\u4e34\u754c\u9608\u503c\u65f6\uff0c\u7cfb\u7edf\u8868\u73b0\u51fa\u6d8c\u73b0\u884c\u4e3a\uff0c\u8fd9\u4e0e\u5b58\u5728\u957f\u7a0b\u65f6\u95f4\u76f8\u5173\u6027\u65f6\u975e\u5e73\u51e1\u7684\u6807\u5ea6\u7279\u6027\u548c\u8868\u9762\u5f62\u6001\u662f\u4e00\u81f4\u7684\u3002<\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n

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\u8bba\u6587\u9898\u76ee\uff1aEmergence in kinetic roughening with long-range temporal correlations<\/span><\/section>\n
\u53d1\u8868\u65f6\u95f4\uff1a2025\u5e742\u670818\u65e5<\/span><\/section>\n
\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.111.024124<\/span><\/section>\n
\u671f\u520a\u540d\u79f0\uff1aPhysical Review E<\/em><\/span><\/section>\n<\/blockquote>\n
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\u52a8\u529b\u5b66\u7c97\u7cd9\u5316\u8fc7\u7a0b<\/span>\uff08Kinetic roughening processes\uff09<\/span>\u662f\u6307\u5728\u7269\u7406\u5b66\u4e2d\u63cf\u8ff0\u8868\u9762\u968f\u7740\u65f6\u95f4\u6f14\u5316\uff0c\u53d8\u5f97\u8d8a\u6765\u8d8a\u7c97\u7cd9\u7684\u73b0\u8c61\uff0c\u8fd9\u7c7b\u8fc7\u7a0b\u901a\u5e38\u53d1\u751f\u5728\u8bf8\u5982\u6750\u6599\u6c89\u79ef\u3001\u754c\u9762\u751f\u957f\u3001\u8868\u9762\u6269\u5c55\u7b49\u73b0\u8c61\u4e2d\uff0c\u968f\u7740\u65f6\u95f4\u8868\u9762\u4ece\u5e73\u6ed1\u5230\u4e0d\u89c4\u5219\u7684\u8fc7\u6e21\uff0c\u800c\u957f\u7a0b\u65f6\u95f4\u76f8\u5173\u6027\u662f\u5176\u5f71\u54cd\u56e0\u7d20\u3002\u8fd1\u671f\uff0cPhysical Review E<\/em>\u7684\u4e00\u9879\u7814\u7a76\u63ed\u793a\u4e86\u957f\u7a0b\u65f6\u95f4\u76f8\u5173\u6027<\/span>\uff08long-range temporal correlation\uff09<\/span>\u5728\u8868\u9762\u52a8\u529b\u5b66\u7c97\u7cd9\u5316\u4e2d\u7684\u5173\u952e\u4f5c\u7528\uff1a\u5f53\u65f6\u95f4\u5173\u8054\u5f3a\u5ea6\u8d85\u8fc7\u4e34\u754c\u503c\uff0c\u7cfb\u7edf\u4f1a\u81ea\u53d1\u5f62\u6210\u975e\u5e73\u5eb8\u7684\u5168\u5c40\u7ed3\u6784\uff0c\u4ece\u800c\u6253\u7834\u7ecf\u5178\u5206\u5f62\u751f\u957f\u89c4\u5f8b\u3002<\/span><\/section>\n

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\u7814\u7a76\u56e2\u961f\u9009\u53d6\u4e86\u968f\u673a\u6c89\u79ef<\/span>\uff08RD\uff09<\/span>\u548c\u5f39\u9053\u6c89\u79ef<\/span>\uff08BD\uff09<\/span>\u4e24\u79cd\u7ecf\u5178\u79bb\u6563\u751f\u957f\u6a21\u578b\uff0c\u901a\u8fc7\u5f15\u5165\u5177\u6709\u5e42\u5f8b\u8870\u51cf\u7279\u6027\u7684\u5173\u8054\u566a\u58f0\uff0c\u7cfb\u7edf\u6a21\u62df\u4e86\u4e0d\u540c\u65f6\u95f4\u5173\u8054\u5f3a\u5ea6\u03b8\u4e0b\u7684\u8868\u9762\u6f14\u5316\u3002\u7814\u7a76\u72ec\u521b\u6027\u5730\u91c7\u7528Hellinger\u8ddd\u79bb\u548c\u65b0\u9896\u6027\u68c0\u6d4b<\/strong>\u4e24\u79cd\u5224\u5b9a\u65b9\u5f0f\uff0c\u5b9a\u91cf\u8bc6\u522b\u6d8c\u73b0\u73b0\u8c61\uff1a<\/span><\/p>\n

1. Hellinger\u8ddd\u79bb\uff1a\u901a\u8fc7\u6838\u5bc6\u5ea6\u4f30\u8ba1\u6bd4\u8f83\u4e0d\u540c\u65f6\u523b\u8868\u9762\u9ad8\u5ea6\u5206\u5e03\u5dee\u5f02\u3002\u7814\u7a76\u53d1\u73b0\uff0c\u5f53\u65f6\u95f4\u5173\u8054\u6307\u6570\u03b8>0.25\u65f6\uff0cHellinger\u8ddd\u79bb\u503c\u6301\u7eed\u4e0a\u5347\uff0c\u8868\u660e\u7cfb\u7edf\u504f\u79bb\u521d\u59cb\u7edf\u8ba1\u7279\u6027\uff0c\u65b0\u79e9\u5e8f\u6b63\u5728\u5f62\u6210<\/span>\uff08\u56fe 1\uff09<\/span>\u3002<\/span><\/p>\n

2. \u65b0\u9896\u6027\u68c0\u6d4b\uff1a\u6784\u5efa\u9a6c\u6c0f\u8ddd\u79bb<\/span>\uff08Mahalanobis distance\uff09<\/span>\u8d85\u692d\u7403\u4f53\u754c\u5b9a\u201c\u6b63\u5e38\u6837\u672c\u201d\u3002\u7814\u7a76\u663e\u793a\uff0c\u5f53\u65f6\u95f4\u5173\u8054\u6307\u6570\u03b8>0.35\u65f6\uff0cBD \u6a21\u578b\u4e2d\u8d85\u51fa\u9608\u503c\u7684\u201c\u5f02\u5e38\u6837\u672c\u201d\u6bd4\u4f8b\u6fc0\u589e\uff0c\u6807\u5fd7\u4e0d\u53ef\u9884\u6d4b\u7684\u65b0\u6a21\u5f0f\u6d8c\u73b0<\/span>\uff08\u56fe 2\uff09<\/span>\u3002<\/span><\/section>\n

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\u56fe 1. \u4e0d\u540c\u65f6\u95f4\u76f8\u5173\u566a\u58f0\u4e0b BD \u6a21\u578b\u4e2d Hellinger \u8ddd\u79bb\u4e0e\u751f\u957f\u65f6\u95f4\u7684\u5173\u7cfb\u5206\u6790\uff1a(a) \u03b8= 0\uff0c(b) \u03b8= 0.10\uff0c(c) \u03b8= 0.20\uff0c(d) \u03b8= 0.25\uff0c(e) \u03b8= 0.35\uff0c(f) \u03b8= 0.40\u3002\u7cfb\u7edf\u5927\u5c0f L= 2048\uff0c\u751f\u957f\u65f6\u95f4 t = 10 000\u3002\u6240\u6709\u7ed3\u679c\u5747\u57fa\u4e8e 10 \u6b21\u566a\u58f0\u5b9e\u73b0\u53d6\u5e73\u5747\u503c\u3002<\/span><\/p>\n


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\u56fe 2. \u4e0d\u540c\u65f6\u95f4\u76f8\u5173\u566a\u58f0\u4e0b BD \u6a21\u578b\u7684\u65b0\u9896\u6027\u4e0e\u751f\u957f\u65f6\u95f4\u5206\u6790\uff1a(a) \u03b8= 0\uff0c(b) \u03b8= 0.10\uff0c(c) \u03b8= 0.20\uff0c(d) \u03b8= 0.25\uff0c(e) \u03b8= 0.35\uff0c(f) \u03b8= 0.40\u3002\u7cfb\u7edf\u5927\u5c0f L = 512\uff0c\u751f\u957f\u65f6\u95f4 t = 20000\u3002\u6240\u6709\u7ed3\u679c\u5747\u57fa\u4e8e 50 \u6b21\u566a\u58f0\u5b9e\u73b0\u53d6\u5e73\u5747\u503c\u3002<\/span><\/p>\n


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