Æü¡¹¤Î¸¦µæ

Æü¡¹¤Î¸¦µæ(¥ê¥¹¥È)

Àîºê¶³¼£ÀèÀ¸¤Î½¸Ãæ¹ÖµÁ¡¡¡¡11/17--11/19

µþÂç½¸Ãæ¹ÖµÁ¡¡¡¡12/15--12/17 ºÇ½ª¹¹¿·¡§£±£±·î£²£¹Æü¡¡

¿À¸ÍÂç½¸Ãæ¹ÖµÁ¡¡1/17 --1/19 ºÇ½ª¹¹¿·¡§£±£°·î£²£²Æü

¡¡

£±£±·î£²£¸Æü (Æü)¡¡¡Á¡¡£±£±·î£³£°Æü¡Ê²Ð¡Ë¡¡

£²£¸Æü¤ÎÌë¤ËÅìµþ¤Ë¤«¤¨¤Ã¤Æ¤­¤Æ¡¢£²£¹Æü¡¢£³£°Æü¤ÈµÙ¤à¤Þ¤Ê¤·¡£ ¤·¤«¤â¡¢»Å»ö¤Ï¤¿¤Þ¤ê¤Ë¤¿¤Þ¤Ã¤Æ¤¤¤ë¡£¤³¤¦¤¤¤¦¾õ¶·¤Ç¡¢½¸Ãæ¹ÖµÁ¤Î ½àÈ÷¤â¤·¤Ê¤¤¤È¤¤¤±¤Ê¤¤¤Î¤Ç¡¢¤«¤Ê¤ê¶ì¤·¤¤¡£½¸Ãæ¹ÖµÁ¤ÎͽÄê¤ò¤¤¤ì¤ë ¤Ù¤­¤Ç¤Ï¤Ê¤«¤Ã¤¿¤«¡¢¤È¹ÖµÁÁ°¤Ï¤È¤¤¤Ä¤â¸å²ù¤¹¤ë¤Î¤À¤¬¡¢¹ÖµÁ¤¬½ª¤ï¤Ã¤¿¤é¡¢ ¡Ê¼«Ê¬¤Î¤¿¤á¤Ë¤â¡Ë¤ä¤Ã¤Æ¤è¤«¤Ã¤¿¡¢¤È»×¤¦¤³¤È¤¬Â¿¤¤¤Î¤Ç¡¢¤Ä¤¤¤Ä¤¤ ¡Ê¸ÂÅÙÆâ¤Ç¡Ë¤ä¤Ã¤Æ¤·¤Þ¤¦¡£¡Ê¿ô¤¬Â¿¤¹¤®¤ÆÃǤ俤³¤È¤¬£²²ó¤¢¤ë¤¬¡¢ ¤¢¤È¤Ï°ÍÍê¤Ë±þ¤¸¤ë¤«¤¿¤Á¤Ç¡¢¹ÖµÁͽÄê¤ò¤¤¤ì¤Æ¤¤¤ë¡£¡Ë

£±£±·î£²£·Æü (ÅÚ)¡¡

Ç®¤Ï¤Ê¤¤¤¬¡¢É¡¤ä¤Î¤É¤Ï¤è¤¯¤Ê¤¤¡£Áá¤á¤Ë¥Û¥Æ¥ë¤Ëµ¢¤ë¡£

¢Ëܤµ¤ó¤Î20ǯÁ°¤ÎËܤ¬¡¡Dover ¤«¤é¤Ç¤Æ¤¤¤ë¤Î¤ÏÃΤé¤Ê¤«¤Ã¤¿¡£ ¤â¤Ã¤Æ¤¤¤Ê¤¤¤Î¤ÇÇ㤪¤¦¡£2000±ßÄøÅÙ¤À¤·¡£¤¢¤é¤¿¤á¤Æ¤ß¤Æ¤ß¤¿¤¬¡¢ »þÂå¤Î¤Á¤ç¤¦¤É°ìÊâÀè¤Ë¤¤¤¿¤³¤È¤¬¤è¤¯¤ï¤«¤ë¡£¡Ê£Ä£±¤Î¤È¤­¡¢ È¿±þ³È»¶·Ï¤ä¤é»þ¶õ¥«¥ª¥¹¤ä¤é¤ÎÏäò¢Ëܤµ¤ó¤Ë¤¹¤ë¤È¡¢¤Û¤È¤ó¤ÉÁ´Éô ¡Ö¤¢¡¢¤½¤ì¤Ï¼«ÌÀ¤Ç¤¹¤Í¡£¡×¤È°ì½³¤µ¤ì¤¿¤³¤È¤ò»×¤¤½Ð¤¹¡£ º£¤«¤é¤ª¤â¤¨¤Ð¡¢¤½¤³¤Ë½ñ¤¤¤Æ¤¢¤ë¤³¤È¤«¤é¤¹¤°¤Ë¤ï¤«¤ë¤³¤È¤ò ¤¤¤Ã¤Æ¤¤¤¿¤À¤±¤À¤Ã¤¿¡£¤¿¤·¤«¤Ë¡¢¤½¤¦¤¤¤¦µ÷Î¥´¶¤È¤¤¤¦¤Î¤Ï¡¢ ¸¦µæ¤·¤Ï¤¸¤á¤Î¤È¤­¤Ï¤ï¤«¤é¤Ê¤¤¡£¡Ë

£±£±·î£²£¶Æü (¶â)¡¡

¤É¤¦¤âÇ®¤¬¤Ç¤Æ¤¤¤ë¡£½Ð¿È¸¦µæ¼¼¤ÎÀèÇÚ¤â¸åÇڤ⡢Ǯ¤¬¤Ç¤Æ¤¤¤ë¤½¤¦¤À¡£ ¤Á¤ç¤Ã¤È¥À¥¦¥óµ¤Ì£¤À¤¬¡¢¤È¤ê¤¢¤¨¤ººÂ¤Ã¤Æ¤¤¤¿¡£

Knobloch-Wisenfeld ¤ÎÏÀʸ¤Ï¡¢¸¶ÅĤµ¤ó¤¬¤µ¤Ã¤½¤¯Ê£¼Ì¤·¤Æ¤¯¤ì¤Æ¡¢¤¶¤Ã¤È¤ß¤¿¡£ ¤ä¤Ã¤Æ¤¤¤ë¤³¤È¤Ï¤Þ¤Ã¤¿¤¯°ã¤¦¤Î¤À¤¬¡¢"normal form theory" ¤È¤¤¤¨¤Ð¡¢¤½¤Ã¤Á ¤ò¥¤¥á¡¼¥¸¤¹¤ë¤Î¤ÏÅöÁ³¤«¡£¸¶ÅĤµ¤ó¤äEdger (Knobloch)¡¡¤ÈÏ䷤ơ¢normal form theory ¤È¤«normal form ¤È¤¤¤¦¸ÀÍÕ¤òűµî¤¹¤ë¤³¤È¤Ë¤·¤¿¡£¡Ê¤¿¤È¤¨¤Ð¡¢ Bogoliubov theory ¤ò¡¡normal form theory ¤È¤è¤Ö¤Î¤Ïɸ½à¤Ç¤Ï¤Ê¤¤¡¢¤È¡£ ¤¦¡¼¤ó¡¢¤¿¤·¤«¤Ë¡¢ËÍ¤â¸øÅª¤Ë¤Ï¤½¤¦¤è¤ó¤À¤³¤È¤Ï¤Ê¤¤¤·¡¢Ì¯¤Ê¤È¤³¤í¤Ç¸í²ò¤ò ¾·¤¯¤Î¤ÏÌÌÅݤÀ¤«¤é¡¢ÏÀʸ¤Ë¤Ê¤ëÁ°¤ËÊѹ¹¤·¤Æ¤ª¤¯¤Î¤¬¤è¤«¤í¤¦¡£¤¢¤ì¡© ºÇ¶á¤Î¿ô³Ø¤ÎÏÀʸ¤Ç¡¢¤½¤ì¤ânormal form ¤Ë¤¤¤ì¤Æ¤¤¤¿¤Î¤ò¸«¤¿¤Î¤À¤Ã¤¿¤¬¡©¡Ë ¤·¤«¤·¡¢¤¤¤¤Ì¾Á°¤¬¤Ê¤¤¤Ê¤¡¡£´¶³ÐŪ¤Ë¤Ï¡¢normal form theory ¤Ï¤«¤Ê¤ê¤¤¤¤¤Î¤À¤¬¡£

Ãë¿©»þ¡¢¿¶Æ° ¤Î¡¡noise synchronization¡¡¤Î²òÀϡʻûÁ°¡áÅÄÃæ ¡Ë¤ÎÏäò¤­¤¯¡£ °ì¸«¤·¤Æ¡¢Ëͤé¤ÎÏäȴط¸¤·¤Æ¤¤¤½¤¦¤ÊÏäʤΤǡ¢¤Á¤ç¤³¤Á¤ç¤³¤¤¤¸¤Ã¤Æ¤ß¤ë¡£ ¤¦¡¢Ëͤé¤ÎÏäˤâ¤Ã¤Æ¤¯¤ë¤ÈÂ礲¤µ¤Ë¤Ê¤Ã¤Æ¤·¤Þ¤¦¡£¤â¤·¡¢°ÂÄêÀ­»Ø¿ô¤À¤±¤ÎÏÃ¤Ç ¤¤¤¤¤Ê¤é¡¢¤½¤Î¤Þ¤ÞÀþ·Á²òÀϤȳÎΨ²òÀϤò¤¯¤ß¤¢¤ï¤»¤ë¤Î¤¬¤â¤Ã¤È¤â¼«Á³¤À¤Ê¡£ ¡ÊÈà¤é¤ÎÏÀʸ¤Ç¤ä¤Ã¤Æ¤¤¤ë¤è¤¦¤Ë¡¡phase ¤Ë¤ª¤È¤·¤Æ¹Í¤¨¤ë¡¢¤È¤¤¤¦·ÐÏ©¤ò¤È¤ë ɬÍפϤʤ¤¡£¡Ë¥Î¥¤¥º¤Î¿§¤¬¤Ä¤¤¤¿¾ì¹ç¤È¤«¥Ý¥¢¥½¥ó¤Î¾ì¹ç¤È¤«¤Ë¤âÃΤꤿ¤¤¡¢ ¤È¤¤¤¦¤³¤È¤À¤Ã¤¿¤Î¤Ç¡¢Ìë¤Ë¸ø¼°¤Î¤À¤¹Êý¿Ë¤ò¹Í¤¨¤Æ¤ª¤¯¡£

¢¬¤Î¤³¤È¤ò»æ¤Î¾å¤Ë¤«¤¤¤Æ¤¤¤¿¤é¡Ö¸¶ÅÄ·¯¤ÈÏÀʸ¤ò½ñ¤¤¤Æ¤¤¤ë¤Î¤Ç¤¹¤«¡©¡×¤È ¢Ëܤµ¤ó¤ËÏ䫤±¤é¤ì¤¿¤Î¤Ç¡¢ÆâÍÆ¤òÀâÌÀ¤¹¤ë¡£Â¨¡¢¼Í±Æ±é»»»Ò¤ÎÏà ¤È¤ÎÂбþ¤Ë¸ÀµÚ¤µ¤ì¤¿¤Î¤Ç¡¢Ëͤé¤ÎÏ䬤ɤ¦¤¤¤¦°ÕÌ£¤Ç̵´Ø·¸¤Ç¤¢¤ë ¤«¤òÀâÌÀ¤·¡¢¡Ê¤¢¤ë·Á¼°²½¤Î¤â¤È¤Ç¡Ë¡¢°ÂÄêÊý¸þ¤ÈÃæÎ©Êý¸þ¤ò¤ï¤±¤ë¤³¤È¤Ë Âбþ¤¹¤ë¤Î¤Ç¤¹¤è¡¢¡¢¤È¤¤¤¦¤È¡¢¶½Ì£¤ò¤â¤¿¤ì¤¿ÍͻҤÀ¤Ã¤¿¡£

£±£±·î£²£´Æü (¿å)¡Á£²£µÆü¡ÊÌÚ¡Ë

µþÅÔ¡§£±£±·î£²£´Æü¡¢¸¶ÅĤµ¤ó¤ÈÏÀʸ¤Î¤¦¤Á¤¢¤ï¤»¤ò¤¹¤ë¡££²£µÆü¤ÎÃë¿©»þ¤Ë¡¢ Knobloch ¤Ë¡¢º£²¿¤ò¤ä¤Ã¤Æ¤¤¤ë¤Î¤À¡©¡¡¤Èʹ¤«¤ì¤Æ¡¢SST °ìÈ̤ÎÏäòºÇ½é¤Ë¤¹¤ë¡£ ¡Ö¤½¤ì¤ÏÈó¾ï¤Ë½ÅÍפÀ¤¬¡¢Æñ¤·¤¤¤À¤í¤¦¤Í¡£¡×¤Ç²ñÏ䬽ª¤ï¤ê¤½¤¦¤À¤Ã¤¿¤Î¤Ç¡¢ Èà¤ÎÆÀ°ÕʬÌ¡¡normal form theory ¤Ç¤¢¤ë¤³¤È¤ò»×¤¤¤·½Ð¤·¤Æ¡¢ºÇ¶á¤ÎÏäò¤¹¤ë¡£ ¤­¤ï¤á¤ÆÈ¿±þ¤è¤¯¡¢£²£°Ç¯Á°¡¢Wiesenfeld ¤Ènormal form thoery ¤Î³ÎΨ²áÄø ¤Ø¤Î³ÈÄ¥¤ò¤ä¤Ã¤¿Ïäòʹ¤¯¡£¾¯¤Ê¤¯¤È¤âµ»½ÑŪ¤Ë¤Ï¡¢¶á¤¤¤â¤Î¤¬¤¢¤ê¤½¤¦ ¤Ê¤Î¤Ç¡¢Ê¸¸¥¤ò¶µ¤¨¤Æ¤â¤é¤¦¡£Chate ¤Î¹Ö±é¤Ç¡¢Ãæ¿È¤ÏÁ´Éô¨¸ú¤ÇÍý²ò²Äǽ¤Ê¤³¤È ¡Ê¡á¥¯¥ê¥¢¡¼¤È¤â¤¤¤¦¡Ë¤À¤È»×¤Ã¤ÆÊ¹¤¤¤Æ¤¤¤¿¤¬¡¢¹Ö±é¤Ç¤ÏÀâÌÀ¤·¤Ê¤«¤Ã¤¿ °ìʸ¤Ë¤Ò¤Ã¤«¤«¤Ã¤¿¤Î¤Ç¡¢µÙ¤ß»þ´Ö¤Ëʹ¤¯¡£¤ª¤ª¡£¤³¤ì¤ÏÆñ¤·¤¤¤¬ÌÌÇò¤½¤¦¤Ç ¤Ï¤Ê¤¤¤«¡£¤Î¤ê¤Ï¡¢¤â¤Î¤¹¤´¤¯Ëͤé¤È»÷¤Æ¤¤¤ë¡£¡Ê¤ª¤Þ¤¨¤ÎŤ¤ÏÀʸ¤â¤¦¤Á ¤À¤·¤¿¤è¡£very nice paper ¤À¡£ÆÉ¤à¤Î¤Ë¤Ï»þ´Ö¤¬¤«¤«¤ë¤À¤í¤¦¤±¤É¤Í¡£¡£¡£ ¤È¤«¡£¤Á¤ã¤ó¤ÈÆÉ¤ó¤Ç¤Ê¤¤¤±¤É¡¢¹á¤ê¤Ï¤¤¤¤¡¢¤È¤¤¤¦¤³¤È¤Ç¤¢¤í¤¦¡£¡Ë

Ì롢ʤò¤Ç¤ë¤³¤í¡¢C. K. Chan ¡Ê¤¿¤Ö¤ó¡Ë¤ËÏ䫤±¤é¤ì¤¿¡£¤ª¤ª¡¢ ÎÓ¤µ¤ó¤¬£±·î¤ËÂæÏѤ˹Ԥ¯¤³¤È¤òÃΤäƤ¤¤ë¤Ç¤Ï¤Ê¤¤¤«¡£

£±£±·î£²£³Æü (²Ð)¡¡

½¸Ãæ¹ÖµÁ¤Î½àÈ÷... ¤È¤¤¤Ã¤Æ¤â¡¢¹½À®¤ò¹Í¤¨¤ë¤À¤±¤Ç»þ´Ö¤¬¤¹¤®¤Æ¤¤¤¯¤·¡¢ ¤Á¤Ã¤È¤â½¸Ãæ¤Ç¤­¤Ê¤¤¡£½éÅùŪ¤Ê¤È¤³¤í¤«¤é¡¢¤Ò¤È¤Ä¤Î¶Ú¤ò¤Ä¤¯¤ê¤¿¤¤¤·¡¢ ¤´¤Þ¤«¤·¤¬¤¹¤¯¤Ê¤¯¤Ê¤ë¤è¤¦¤Ë¡¢´ðËÜŪ¤Ë¤Ï¹õÈĤ˽ñ¤¯¡£"thermodynamic formalism" ´ØÏ¢¤ÎÏäò¤Þ¤È¤Þ¤Ã¤Æ¤¹¤ë¤Î¤Ï¤Ï¤¸¤á¤Æ¤Ê¤Î¤Ç¡¢¤½¤Î°ÌÃ֤Ť± ¤Î¾Ã²½¤ËǺ¤ó¤Ç¤¤¤ë¡£¡£¡£¡£

Ǻ¤ó¤Ç¤¤¤ë¤È¡¢¤Ä¤¤¤Ä¤¤Ã¦Àþ¤·¤Æ¡¢ºòÌë¤Î³¤­¤Ë¤Ò¤­¤³¤Þ¤ì¤Æ¤·¤Þ¤¦¡£ »þ´ÖȿžÂоÎÀ­¤òÌÀ¼¨Åª¤Ë¤·¤¿¡¡normal form ¤Ë´Ø¤¹¤ë¤Ò¤È¤Ä¤Î¹¶¤áÊý ¤Ï¤ï¤«¤Ã¤¿¤¬¡¢¤Á¤ç¤Ã¤È¤®¤ç¤¦¤®¤ç¤¦¤·¤¤¡£ ¤â¤Ã¤È¤³¤¦¥¹¥Ñ¥Ã¤È¤¤¤±¤ë ¤È»×¤¦¤Î¤À¤¬¡£¡¡[Fluctuation Theorem ¤Î¡Ê¸½ºß¤Þ¤Ç¤Î¡ËºÇÂç¤ÎÀ®²Ì¤Ï¡¢ FDT ¤Î¡¡simplest derivation ¤Ë¤¢¤ë¡¢¤È»×¤Ã¤Æ¤¤¤ë¤±¤ì¤É¡¢¤¿¤·¤«¤Ë¡¢ ¤¢¤ì¤Ï»þ´ÖȿžÂоÎÀ­¤Î»È¤¤¤«¤¿¤¬¤¦¤Þ¤¤¡£] ¡¡

Ǻ¤ó¤Ç¤¤¤ë¤È¡¢Â®ÅÙ¤æ¤é¤®¤Î¿¶Æ°¿ô¦ØÀ®Ê¬¤Î¶¯Å٤οôÃͼ¸³¤Î¥°¥é¥Õ¤¬ ¤Ï¤¤¤Ã¤¿¥Î¡¼¥È¤¬ÎÓ¤µ¤ó¤«¤é¤ª¤¯¤é¤ì¤Æ¤­¤¿¡£¤Ê¤ë¤Û¤É¤Ê¤ë¤Û¤É¡£¤¿¤È¤¨¤Ð¡¢ ¤³¤Î¥°¥é¥Õ¤ÎÊĤ¸¤¿É½¸½¤Ï¡¢normal form theory ¤Ï¤¹¤Ç¤Ë¤À¤»¤Æ¤¤¤ë¡£ ¡Ê¤¨¤¨¤È¡¢¤³¤ì¤Ï¡¢Ê¿¹Õ°Ê³°¤À¤È¡¢º£¤Þ¤Ç¤ÎÊýË¡¤Ç¤Ï¤À¤»¤Ê¤¤¤è¤Ê¤¡¡£ ¦Ø=0 ¤Ï³È»¶·¸¿ô¤Ê¤Î¤Ç¡¢¤æ¤Ã¤¯¤êÀ®Ê¬¤ò¤È¤ê¤À¤¹¿§¡¹¤ÊÊýË¡¤Ç¤À¤»¤ë¡£ ¸øÅª¤Ë¤Ï£³Ç¯Á°¤é¤·¤¤¤¬¡£¡ËÅöÌ̤ϡ¢¤»¤³¤¤¤¬¡¢¤³¤¦¤¤¤¦¤È¤³¤í¤Ç¡¡ NEW ¤ò¶¯Ä´¤·¤Æ¤â¤¤¤¤¤«¤â¤Ê¡£¤Ê¤ó¤È¤Ê¤¯¡¢Éϼå¤ÊÍýÏÀ¤Î¤è¤¦¤Ë»×¤¨¤Æ¤­¤Æ¡¢ ¿Ê²½ÈǤò¤Ä¤¯¤é¤Ê¤¤¤È¤¤¤±¤Ê¤¤¤è¤¦¤Ê¶¯Ç÷´Ñǰ¤Ë¤È¤é¤ï¤ì¤Æ¤¤¤ë¤±¤ì¤É¡£¡Ë

£±£±·î£²£²Æü (·î)¡¡

Langevin normal form ¤Ï´Ö°ã¤¤¤Ç¤Ï¤Ê¤¤¤Î¤À¤¬¡¢»×¤Ã¤¿¤Û¤É»È¤¤¾¡¼ê¤¬¤è¤¯¤Ê¤¤¡£ ¿§¡¹¤ÊÎ̤òÀµ¤·¤¯·×»»¤Ç¤­¤ë¤·¡¢ÏÀʸ¤È¤·¤Æ¸ø¤Ë¤·¤Æ¤âÃѤº¤«¤·¤¯¤Ï¤Ê¤¤¤¬¡¢ ¥Ô¥ó¥È¤ò¤Ò¤È¤Ä¤Ï¤º¤·¤Æ¤¤¤ë´¶¤¸¤¬¤¹¤ë¡£¹ÖµÁ¸å¤Ë¡¢º£Êú¤¨¤Æ¤¤¤ëÌäÂê¤òÎÓ¤µ¤ó¤È À°Íý¤·¤Æ¤¤¤¿¤é¡¢¡ÖÊ¿¹Õ¤Î¾ì¹ç¡¢±þÅú´Ø¿ô¤À¤±¤Ç¤Ê¤¯¡¢FDT ¤âÌÀ¼¨Åª¤Ë¤Ê¤Ã¤Æ¤³¤½¤Î¡¡ normal form ¤Ç¤Ï¤Ê¤¤¤«¡©¡¡ÈóÊ¿¹Õ¤Ê¤é¤½¤ÎÇˤìÊý¤¬åºÎï¤Ë¤ß¤¨¤Æ¤³¤½¤Î¡¡ normal form ¤Ç¤Ï¤Ê¤¤¤«¡£º£¤Î¡¡normal form ¤Ï¡¢¤½¤ì¤¬Ïª¤Ë¤Ê¤Ã¤Æ¤Ê¤¤¤«¤é¡¢ ÉÔ´°Á´¡¡normal form ¤Ç¤Ï¡©¡×¤È¤¤¤¦´¶¤¸¤¬¤Ä¤è¤¯¤Ê¤Ã¤Æ¤­¤¿¡£¸¶ÅĤµ¤ó¤Ë¡¡ mail ¤ò¤¦¤Ã¤Æ¤ß¤ë¤È¡¢¸¶ÅĤµ¤ó¤â¤½¤¦¤¤¤¦´¶¿¨¤ò¤â¤Ã¤Æ¤¤¤¿¡£¤è¤·¡¢¤½¤ó¤Ê¤é¡¢ normal form ¿Ê²½ÈǤκîÀ®¤À¡£¤È¡¢Åż֤ÎÃæ¤Ç¤´¤½¤´¤½¤Ï¤¸¤á¤ë¡£ ¤Þ¤º¤ÏÊ¿¹Õ·Ï........ ¤Ø¤§¡¢¡¢¤³¤ó¤Ê´Ø·¸¼°¤¬¤Ê¤ê¤¿¤Ä¤³¤È¤ò¤É¤³¤«¤é ¤Ò¤Ã¤Ñ¤ë¤Î¤À¡©¡¡¤½¤ì¤ÏÃΤäƤ¤¤ë¡£»þ´ÖȿžÂоÎÀ­¤·¤«¤Ê¤¤¡£ ¤Ç¤â¤É¤¦¤ä¤Ã¤Æ¤Ä¤«¤¦¤Î¤À¡©¡¡¤¦¤¦¤¦¤¦¡¼¤ó¡©¡¡ÌÀÆü¤Ï²¿¤¬²¿¤Ç¤â ½¸Ãæ¹ÖµÁ¤Î½àÈ÷¤ò¤¹¤ë¤Î¤Ç¡¢¤³¤ì¤Ïº£Æü¿²¤ë¤Þ¤Ç¤·¤«¹Í¤¨¤ì¤Ê¤¤¡£

£±£±·î£²£±Æü (Æü)¡¡

¤³¤ÎµÙÆü¤Ë½¸Ãæ¹ÖµÁ¤Î½àÈ÷¤ò¤Ï¤¸¤á¤ëͽÄê¤À¤Ã¤¿¤¬¡¢Ä´»Ò¤¬¤¢¤¬¤é¤º¤Ë ¤Ç¤­¤Ê¤«¤Ã¤¿¡£¤Þ¤º¤¤¤Ê¤¡¡£Èè¤ì¤¬¤¿¤Þ¤Ã¤Æ¤¤¤ë´¶¤¸¤¬¤¹¤ë¡£ÆüÍËÆü¤Î Ãë¤Ë¤Ï¡¢¿²¹þ¤ó¤Ç¤·¤Þ¤Ã¤¿¡£

¤½¤ì¤Ç¤âÄ̾ï¤Î¹ÖµÁ¤Î½àÈ÷¤ÈºÇÍ¥ÀèÏÀʸ¤Î¼êÆþ¤ì¤À¤±¤Ï¤¹¤ë¡£ÌÀÆü¤Î¹ÖµÁ¤Ç¤Ï¡¢ ¥¨¥Í¥ë¥®¡¼Í¢Á÷¤Ë´Ø¤¹¤ëȯŸÊýÄø¼°¤ò¥¨¥Í¥ë¥®¡¼Êݸ¤È¸½¾ÝÏÀŪºÇ¾®²¾À⤫¤é Ƴ¤¯¤Î¤À¤¬¡¢¤Ê¤«¤Ê¤«Àä̯¤ÊÏÀ»Ý¤Ç¡¢¤Þ¤ÀÈéÉæ¤Ë¤ä¤­¤Ä¤¤¤Æ¤¤¤Ê¤¤¡£ ³°Éô¥¨¥Í¥ë¥®¡¼¤ÈÆâÉô¥¨¥Í¥ë¥®¡¼¤Î¤¦¤Ä¤ê¤«¤ï¤ê¤Ê¤É¤¬¤Þ¤¸¤Ã¤Æ¤¤¤ë¤Î¤Ç¡¢ ±¿Æ°ÎÌÍ¢Á÷°Ê¾å¤Ë¡¢Ê£»¨¤Ê²áÄø¤Ç¤¢¤ë¡£¤¤¤Ä¤«º¬À­¤ò¤¤¤ì¤ÆÈéÉæ¤Ë¤ä¤­¤Ä¤¯¤Þ¤Ç ¹Í¤¨È´¤«¤Ê¤¤¤È¤¤¤±¤Ê¤¤¡£

£±£±·î£²£°Æü (ÅÚ)¡¡

¤Á¤ç¤È¤·¤¿¥ß¥¹¡§¥Õ¥©¥Ã¥«¡¼¥×¥é¥ó¥¯±é»»»Ò¤Ï¥¨¥ë¥ß¡¼¥È¤Ç¤Ï¤Ê¤¤¤¬¡¢ Âбþ¤¹¤ë³ÎΨ²áÄø¤Ë¾ÜºÙ¤Ä¤ê¤¢¤¤¤¬¤Ê¤ê¤¿¤Ä¤Ê¤é¡¢¥¨¥ë¥ß¡¼¥È±é»»»Ò ¤ÎÌäÂê¤Ëµ¢Ãå¤Ç¤­¤ë¤Î¤Ç¡¢Â®¹¶¤Ç¡¢¸ÇÍ­Ãͤμ¿ôÀ­¤¬¤ï¤«¤ë¡£ÈóÊ¿¹Õ ¾ò·ï¤Ê¤é¡¢¤½¤ó¤Ê¤³¤È¤Ï¤¤¤¨¤Ê¤¤¤Î¤À¤¬¡¢¥Þ¥ë¥³¥Õ³ÎΨ²áÄø¤Ê¤é¡¢ ¾ÜºÙ¤Ä¤ê¤¢¤¤¤Î̵ͭ¤Ë´Ø¤ï¤é¤º¡¢Ã±Ä´Áý²Ã¤·¤Æ¥¼¥í¤Ë¼ý«¤·¤Æ¤¤¤¯´Ø¿ô (H¡¡´Ø¿ô¡Ë¤¬¤¢¤ë¡¢¤È¤¤¤¦´Êñ¤Ë¾ÚÌÀ¤Ç¤­¤ë°ìÈÌŪ¤ÊÄêÍý ¤¬¤¢¤ë¤Î¤Ç¡¢ ʬÉۤο¶Æ°Åª¸º¿ê¤È¤¤¤¦¤Î¤Ï¹Í¤¨¤Ë¤¯¤¤¡¢¤È»×¤Ã¤Æ¤¤¤¿¡£¤¢¤È¤«¤éÀâÌÀ½ñ¤¯ ¤Ä¤â¤ê¤Ç¡¢ÏÀʸÁð¹Æ¤Ç¤Ï¡¢¸ÇÍ­Ãͤϼ¿ô¤Ç¤¢¤ë¤³¤È¤òÁ°Äó¤Ë¤·¤Æ½ñ¤¤¤Æ¤¤¤¿¤é¡¢ ¸¶ÅĤµ¤ó¤¬Á´ÉôÊ£ÁǤËľ¤·¤Æ¤­¤¿¡£¤è¤·¡¢¤¸¤ã¤¡¡¢°ìÈ̲½¡¡H¡¡ÄêÍý¤ÎÉü½¬ ¤â¤«¤Í¤Æ¥Î¡¼¥È¤ò½ñ¤¤¤Æ¤ª¤³¤¦¤È¡¢¤³¤¦¤¤¤¦´¶¤¸¤Ç¿¶Æ°¤¬¤Ç¤Ê¤¤¤À¤í¤¦¡¢¡¢ ¤È¤¤¤¦ÏÀ»Ý¤òtex ²½¤·¤Æ¤ª¤¯¤Ã¤Æ¤·¤Þ¤Ã¤¿¡£¤È¤³¤í¤¬¡¢¼ÂºÝ¤Ë¡¢ ¿ôÃÍŪ¤Ë¤âµõÉô¤¬¤Ç¤Æ¤¤¤ë¤é¤·¤¤¡£¤¬¡¼¤ó¡£»æ¤ò¤ß¤Ê¤ª¤¹¤È¡¢ºÇ¸å¤Î £±¹Ô¤Î¤¢¤È¤Ë®ÃǤ·¤¹¤®¤Æ¤¤¤Æ¡¢ËÜÅö¤ËÌ·½â¤¹¤ë¤«¤É¤¦¤«¤¬¼¨¤»¤Æ¤¤¤Ê¤¤¡£ ¤â¤¦°ì¹Ô¤À¤±ÃúÇ«¤Ë¤Ð¤é¤·¤ÆÀ°Íý¤·¤Æ... ¤¢¤ê¤ã¡¢¡¢µõÉô¤Î¸ºß¤Ï£ÈÄêÍý¤È Ì·½â¤¹¤ë¤â¤Î¤Ç¤Ï¤Ê¤¤¤é¤·¤¤¡£¤È¤É¤á¤ÎÉôʬ¤ò°Å»»¤Ç¤¹¤Þ¤·¤Æ¤·¤Þ¤¦ °­¤¤ÊʤϤ¤¤±¤Ê¤¤¡£ ¡Ö»æ¤äÇòÈĤ˽ñ¤¯¤È¤­¤Ï¡¢½ñ¤¯¤È¤¤¤¦Ï«ÎϤòʧ¤¦¤Î¤À¤«¤é¡¢Æ¬¤Ç¤ä¤Ã¤Æ¤¤¤ë ¤Î¤ÈƱ¤¸¤è¤¦¤Ë¡¢Î®¤·¤Æ¤Ï¤¤¤±¤Ê¤¤¡£¡×¤È³ØÀ¸¤Ë¤¤¤Ã¤Æ¤¤¤ë¤³¤È¤Ï¼«Ê¬¤Ë¤â ¤¤¤ï¤Ê¤¤¤È¤¤¤±¤Ê¤¤¡£(¤Á¤Ê¤ß¤Ë¡¢µõÉô¤¬ËÜÅö¤Ë¤Ç¤ë¤³¤È¤ò³Îǧ¤¹¤ë¤À¤±¤Ê¤é¡¢ Îã¤ò°ì¸Ä¤Ä¤¯¤ì¤Ð¤¤¤¤¤Î¤Ç®¹¶¤Ç¤ï¤«¤ë¤³¤È¡£¡Ë

£±£±·î£±£¹ Æü(¶â)¡¡

Àîºê¤µ¤ó¤Î½¸Ãæ¹ÖµÁ¡§ºòÌ뤫¤éº£Ä«¤Ë¤«¤±¤ÆÏÀÅÀ¤ò¤â¤¦¤¤¤Á¤ÉÀ°Íý¤·¤Æ¡¢¹ÖµÁÁ° ¤Ë¿§¡¹¤È»Ç¤¦¡£¤ä¤Ã¤ÈËÜÅö¤ÎÌäÂê¤ÎÆñ¤·¤µ¤òÍý²ò¤·¤¿¡Ê¤È»×¤¦¡£¡Ë¤µ¤¯¤Ã¤È¼ê¤ò ư¤«¤·¤Æ°ÕÌ£¤¬¤¢¤ê¤½¤¦¤ÊÎý½¬ÌäÂê¤Ï¤¹¤°¤Ë¤Ï¡Ê¤ª¤â¤¤¤Ä¤«¡Ë¤Ê¤¤¡£¤É¤¦¤¤¤¦¤³¤È ¤òÇØ·Ê¤Ç¹Í¤¨¤ì¤Ð¤¤¤¤¤Î¤«¡¢¤È¤¤¤¦Ê·°Ïµ¤¤Ï¤Ä¤«¤ó¤À¤¬¡¢¤¢¤È¤Ï¼ê¤¬¤«¤ê¤Î ¥¢¥¤¥Ç¥¢¤¬¤ª¤Á¤ë¤Î¤ò¤Þ¤È¤¦¡£

¤³¤ÎÌäÂê¤ò¹Í¤¨¤¿¤¢¤È¤Ç¡¢¸½ºß¼¹É®Ãæ¤Î¥é¥ó¥¸¥å¥Ð¥óɸ½à·Á¤ÎÏÀʸ¤ò¤ß¤Æ ¤¤¤ë¤È¡¢¤Ê¤ó¤È¤âÍÄÃÕ¤ÊÌäÂê¤À¤Ê¡£¤·¤«¤·¡¢¤½¤¦¤¤¤¦¤È¤³¤í¤Þ¤Ç¤ª¤ê¤Æ¤­¤Æ Ã諤òÀѤ߾夲¤Æ¤¤¤¯¤³¤È¤ò¿ôǯÁ°¤Ë·è¤á¤¿¤Î¤À¤«¤é¡¢¤½¤ì¤Ï¤½¤ì¤Ç¤è¤¤¡£

£³Æü´Ö¤Ë¤ï¤¿¤Ã¤Æ¤º¤Ã¤ÈÀîºê¤µ¤ó¤È¤´°ì½ï¤¹¤ë¤³¤È¤Ë¤Ê¤Ã¤¿¡£³ØÌäŪ¤Ë¤â ¤½¤¦¤À¤¬¡¢¤½¤ì°Ê¾å¤Ë»É·ã¤¬Â¿¤¯¡¢³Ú¤·¤¤£³Æü´Ö¤À¤Ã¤¿¡£ÈÚͦ¤Ë¤¨¤¤¤ä¤¡ ¤È¤¹¤¹¤ß¤Ê¤¬¤é¤â¡¢¤¢¤ì¤ä¤³¤ì¤ä¤ÈÀµ¤·¤¯¤Ê¤ä¤ó¤Ç¤¤¤ë̵¼Ùµ¤¤ÊÍͻҤϡ¢ ÏÀʸ¤À¤±¤ò¤ß¤Æ¤¤¤Æ¤Ï¤ï¤«¤é¤Ê¤¤¡£¤µ¤Æ¤µ¤Æ¡¢£³£´Ç¯¸å¤ÎËͤϡ¢ ¤É¤³¤«¤ÎÂç³Ø¤Ç¡¢¤½¤Î¤È¤­¶½Ì£¤ò¤â¤Ã¤Æ¤¤¤ë¤³¤È¤Ë¤Ä¤¤¤Æ¡¢½¸Ãæ¹ÖµÁ¤¬ ¤Ç¤­¤ë¤Î¤À¤í¤¦¤«¡£

Evans ¤é¤ÎÀè·î¤ÎÏÀʸ¤Î Kawasaki identity ¤Ë¤Ä¤¤¤Æ¤Î»ûËÜ·¯¤Î¥Î¡¼¥È¤ò ÆÉ¤à¡£¤Ê¤ë¤Û¤É¡¢¹±Åù¼°¤Î¤Ä¤¯¤ê¤«¤¿¤ÎÊ̥С¼¥¸¥ç¥ó¤Ë¤Ê¤Ã¤Æ¤¤¤ë¤³¤È¤Ï Íý²ò¤·¤¿¡£¶áÆüÃæ¤Ë¥³¥á¥ó¥È¤¹¤ëͽÄê¡£¡Ê¤Á¤Ê¤ß¤ËÀîºê¤µ¤ó¤Ï¡¢¤½¤Î¡¡ Kawasaki identity ¤ò¤ß¤Æ¡¢¡Ö¤½¤¦¤¤¤¦¤Î¤òµÄÏÀ¤·¤¿µ­²±¤¬¤¢¤ê¤Þ¤»¤ó¡£¡×¡Ë

£±£±·î£±£¸ (ÌÚ)¡¡

Àîºê¤µ¤ó¤Î½¸Ãæ¹ÖµÁ¡§¤ª¤ª¡¢¤Ê¤ó¤«¤¹¤´¤¯¥Ô¥ó¥È¤¬¤¢¤Ã¤Æ¤·¤Þ¤Ã¤¿¡£ Îý½¬ÌäÂê·×²è¤ò¤¿¤Æ¤ì¤¿¤é¡¢°ÌÃ֤Ť±¤Ê¤É´Ø·¸¤Ê¤¯¡¢¹Í¤¨¤Æ¤ß¤è¤¦¤«¡¢ ¤È¤¤¤¦µ¤¤Ë¤Ê¤Ã¤¿¡£¤·¤«¤·¡¢¥Û¥Æ¥ë¤Ç¡¡¡ÊÀè·î¤Ç¤¿¡ËDas ¤Îreview ¤òÆÉ¤ó¤Ç¤¤¤ë¤È¡¢¤µ¤Ã¤Ñ¤ê¤ï¤«¤é¤Ê¤¯¤Ê¤Ã¤¿¡£¤È¤ê¤¢¤¨¤º¡¢Àè¹Ô¸¦µæ¤Ê ¤É¤è¤Þ¤º¤Ë¡¢¶ñÂÎŪ¤Ë¼«Ê¬¤Î¼ê¤òư¤«¤¹¤¢¤¿¤ê¤«¤éÆþ¤í¤¦¡¢¤Èº£¤Ï»×¤Ã¤Æ¤¤¤ë¡£

ͼ¿©»þ¡¢¡ÖºòÆü¤µ¤ó¤¶¤ó°û¤ó¤À¤Î¤Ç¡¢º£Æü¤Ï¥¢¥ë¥³¡¼¥ë¤Ï¹µ¤¨¤Æ¤ª¤­¤Þ¤¹¡£¡× ¤È¤¤¤¦Àîºê¤µ¤ó¤ÎÍ×µá¤Ë±þ¤¸¤Æ¡¢³ØÆâ¤Î¥ì¥¹¥È¥é¥ó¤Ë¡£¥Ì¡¼¥Ü¤¬¤Ç¤Æ¤¿¤Î¤Ç¡¢ ¥Ü¥È¥ë¤òÃíʸ¤·¤Æ¤ª¤¯¤È¡¢¤É¤ó¤É¤ó°û¤Þ¤ì¤Æ¤¤¤ë¡£¡£¡£ºòÆü¤è¤ê¤Ï¥Ñ¥ï¡¼¥À¥¦¥ó ¤·¤Æ¤¤¤¿¤¬¡¢¤Ð¤·¤Ð¤·Ãý¤é¤ì¤Æ¤¤¤ë¡£

£±£±·î£±£· (¿å)¡¡

Àîºê¤µ¤ó¤Î½¸Ãæ¹ÖµÁ¡§Í¼¿©»þ¤Ë¡¢£¶£µÇ¯¤ÎÏäò£·£°Ç¯¤Ë¤¤¤±¤ë¤È³Î¿®¤·¤¿¤È¤­ ¤ÎÏäò»Ç¤Ã¤¿¤Î¤¬°õ¾ÝŪ¤À¤Ã¤¿¡£¡ÊÁáÀ¥ó¥¿¥Ó¥å¡¼¤Ë¤¢¤Ã¤¿¤Ã¤±¡©¡ËÀ®¸ù¼Ô ¤Ï²¿¤ò¤¤¤Ã¤Æ¤â¥É¥é¥Þ¤Ë¤Ê¤ë¤Î¤Ï¤½¤¦¤À¤È»×¤¦¤±¤ì¤É¡¢¤½¤Î¶ÛÄ¥¤Î½Ö´Ö¤È¤¤¤¦ ¤Î¤ÏËͤϤޤÀ·Ð¸³¤·¤Æ¤¤¤Ê¤¤¡£Àîºê¤µ¤ó¤Î£·£°Ç¯¤Ï¡¢Ëͤκ£Ç¯¤Ê¤ó¤À¤¬£¡£¡£¡¡£

¢­¤ÎÀ®²Ì¤Ç¥Û¥Æ¥ë¤ÎÉô²°¤«¤é½ñ¤¤¤Æ¤¤¤ë¡£

£±£±·î£±£¶ (²Ð)¡¡

ι¹Ô·ÈÂÓÍѤΥΡ¼¥È¥Ñ¥½¥³¥ó¤ò¿·¤¿¤Ë¹ØÆþ¤·¤¿¡£ emacs »ÅÍͤÎeditor ¤È¡¡unix »ÅÍͤΥե¡¥¤¥ë´ÉÍý¤È¡¡·Ú¤¤emulator¤Î£³ÅÀ ¥»¥Ã¥È¤¬windows ¾å¤Ë¤¢¤ë¤Î¤¬¡¢¡ÊËͤˤȤäƤΡËÀßÄê¤Î³Ú¤µ¤Èºî¶È¤Î ¤·¤ä¤¹¤µ¤òºÇÂç¤Ë¤¹¤ë¤Î¤Ç¡¢meadow, cygwin, putty ¤Î£³¤Ä¤ò¤¤¤ì¤ë¡£ º£²ó¤Ç£³ÅÙÌܤʤΤǤ⤦¤Ê¤ì¤¿¤È»×¤¤¤­¤ä¡¢¤Ê¤ó¤À¤«¤ó¤À¤ÈÉÔÄ´¤Ç£³»þ´Ö¶á ¤¯¤«¤«¤Ã¤Æ¤·¤Þ¤Ã¤¿¡£°ÕÌ£ÉÔÌÀ¤Ê¥¨¥é¡¼¤Ï¤Ç¤Æ¤¤¤ë¤¬¡¢É¬Íפʺî¶È¤Ï¤Ç¤­¤ë ¤«¤é¤è¤·¤È¤¹¤ë¡£

£±£±·î£±£µ (·î)¡¡

Àîºê¤µ¤ó¤Î½¸Ãæ¹ÖµÁ¤Ë¤½¤Ê¤¨¤Æ¡¢Ä«¤ÎÅż֤ǡ¢Das ¤Îreview ¤ò¤è¤à¡£ MCT ¤ÎµÄÏÀ¤Ï¤É¤¦¤âƬ¤Ë¤Ï¤¤¤é¤Ê¤¤¡£Langevin normal form ¤Î¾ì¤Î¼«Í³ÅÙ ¤Ø¤Î³ÈÄ¥¤¬¤Ç¤­¤ì¤Ð¤¤¤¤¤Î¤À¤è¤Ê¡£memory function ¤Î·×»»¤Ë¤ÏŬ¤·¤Æ¤¤¤ë ¤Î¤À¤«¤é¡¢²áÎäµÑ±ÕÂθþ¤­¤«¤â¤·¤ì¤Ê¤¤¤Ê¡¢¡¢¡£¤È¡¢¤Á¤ç¤Ã¤ÈÊý¿Ë¤ò¹Í¤¨¤ë¤â¡¢ ¤¦¡¼¤ó¡¢¤µ¤Ã¤Ñ¤ê¤ß¤¨¤Ê¤¤¡£

¹ÖµÁ¤Ï¤Ø¤Þ¤ò¤·¤Æ¡¢¹ÖµÁÃæ¤Ë²óÉü¤Ç¤­¤º¡£É乿¤Ï·ù¤¤¤À¡£

Langevin normal form ¡§³È»¶·¸¿ôƳ½Ð¤Î¤Ä¤á¤ò¥Î¡¼¥È¤Ë½ñ¤¤¤Æ¡¢ Í×Ì󤫤黲¹Íʸ¸¥¤Þ¤ÇÁ´Éô½ñ¤¯¡£¡Ê³È»¶·¸¿ô¤ÎƳ½Ð¤â¤³¤Ã¤Á¤ÎÊýË¡¤¬ ¥¹¥Þ¡¼¥È¤Ç¤¢¤í¤¦¡£¡ËÆÃÄê¤Î¥â¥Ç¥ë¤Î·ë²Ì¤Ç¤¢¤ë¤¬¡¢¤µ¤Ã¤µ¤ÈÏÀʸ¤Ë¤·¤Æ¡¢ Íè·îÃæ¤ËÅê¹Æ¤¹¤ë¤³¤È¤Ë¤·¤¿¡£½ªÈפε»½ÑŪ¤Ê¤Ä¤á¤ÏËͤ¬¤¤¤Ã¤­¤Ë¤ä¤Ã¤Æ ¤·¤Þ¤Ã¤¿¤¬¡¢¤½¤Îµ»½Ñ¤Ï¸¶ÅĥΡ¼¥È¤«¤é¤Ï¤¸¤Þ¤Ã¤¿¤â¤Î¤Ç¤¢¤ê¡¢¤Þ¤¿¡¢ ÎϤÎʬ³ä¤Ë´Ø¤¹¤ëŤ¤µÄÏÀ¤Î±Æ¶Á¤ÏÂ礭¤¤¤Î¤Ç¡¢Ãø¼Ô¤Ï¡¢Harada-Hayashi-Sasa ¤Ç¤¤¤¯¤³¤È¤Ë¡ÊÁêÃ̤·¤Æ¡Ë¤­¤á¤¿¡£Åê¹Æ¤ò¤­¤á¤¿Ìë¤Ë¡¢Áð¹ÆÂ裰ÈǤ¬ ¤Ç¤­¤Æ¤¤¤ë¡¢¡¢¤È¤¤¤¦¤Î¤Ï¤è¤¤¤³¤È¤À¡£

£±£±·î£±£³ (ÅÚ)¡¡¡Á£±£´Æü¡ÊÆü¡Ë

Langevin ·Ï¡¡¤Înormal form theory ¤Ë¤Ä¤¤¤Æ¡¢¸½ºß¤ÎÏÀÅÀ¤ÈÏÀ»ÝŸ³« ˺¤ì¤Ê¤¤¤è¤¦¤Ë¡¢ºÇ½é¤«¤éºÇ¸å¤Þ¤Ç¤Îή¤ì¤ò¤Ä¤¯¤Ã¤¿¥Î¡¼¥È¤ò¤³¤ÎµÙÆü¤Ë ½ñ¤¯¤³¤È¤Ë¤·¤¿¡£ÉÔÍפÊÏÀ»Ý¤Ïºï¤Ã¤Æ¡¢SSTÏÀʸ¤Î¥¹¥¿¥¤¥ë¤Ç±Ñʸ£±£´ ¥Ú¡¼¥¸¤Ë¤Ê¤Ã¤¿¤È¤³¤í¤Ç»þ´ÖÀڤ졣[º£¤Þ¤Ç¤Î¥Î¡¼¥È¤ÇʬÎÌŪ¤Ë¤â¿¤«¤Ã¤¿ ¼Í±Æ±é»»»Ò´ØÏ¢¤ÎÏäϡ¢¡Ê̵´Ø·¸¤Ç¤¢¤ë¤³¤È¤òÀâÌÀ¤¹¤ë¡ËÉÕÏ¿¤Î£±¥Ú¡¼¥¸ ¤Ë¤ª¤·¤³¤á¤¿¡£] ºÙ¤«¤¤¤È¤³¤í¤Ï·ê¤À¤é¤±¤À¤¬¡¢¤ª¤ª¤Þ¤«¤Êή¤ì¤¬ ¤Ç¤­¤Æ¤¤¤ë¤È¡¢Ê¿Æü¤Î¤¢¤¤¤¿»þ´Ö¤Ç¤âºÙ¤«¤¤¤È¤³¤í¤òËä¤á¤Æ¤¤¤±¤ë¡£ º£½µ¤Ï¡¢Àîºê¤µ¤ó¤Î½¸Ãæ¹ÖµÁ¤Ê¤Î¤Ç¡¢ ¤¢¤¤¤¿»þ´Ö¤Ï¤Ê¤¤¤Î¤À¤¬¡£

Langevin ·Ï¤Î¡¡normal form ¤ò¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯¡£ÈóÀþ·Á¿¶Æ°»Ò¤Î normal form ¤Ï¡¢Å¬ÀڤʰÌÁêºÂɸ¤Î¤ÎÁªÂò¤Ë¾¤Ê¤é¤Ê¤¤¡£¤³¤ì¤ò¡¢°ÌÁê ¼«Í³ÅÙ¤ÎÃæÎ©°ÂÄêÀ­¤ò¤Ä¤«¤Ã¤ÆÀÝÆ°Åª¤Ë¹½À®¤¹¤ë¡£¤³¤Î¼ê¤ÎÃæÎ©¤Ê¼«Í³ÅÙ ¤ò¤Ä¤«¤Ã¤ÆÉ¸½à·Á¤òƳ¤¯¤Î¤Ï¡¢ºòǯ¤ÎFokker-Planck ¤â´Þ¤á¤Æ¡¢ ¤è¤¯¤·¤é¤ì¤¿ÏäǤ¢¤ë¡£¤È¤³¤í¤¬¡¢Langevin ¤ÎưÎϳؤˤϡ¢ ¤½¤ó¤Ê¤â¤Î¤ÏÌÀ¼¨Åª¤Ë¤Ï¤Ê¤¤¡£Ê¬ÉÛ¥ì¥Ù¥ë¤Îµ­½Ò¤Ç¤Ï¡¢¤Ò¤È»³¤ÎÃæ¤Ç ¤ª¤Á¤Ä¤¯¤È¤­¤Î¿¶¤ëÉñ¤¤¤Ë¶É½êŪ¤ÊÄê¾ïʬÉۤˤª¤Á¤Ä¤¯¤È¤­¤Î ÃæÎ©¼«Í³ÅÙ¤¬¤¢¤ë¤Î¤À¤¬¡¢µ°Æ»¥ì¥Ù¥ë¤Îµ­½Ò¤Ç¤ÏÁ´¤¯¤ï¤«¤é¤Ê¤¤¡£

°ìËܤε°Æ»¤Ç¤â¡¢¥é¥Õ¤Ë¤¤¤¦¤È¡¢»³¤ò¤³¤í¤¬¤ê¤ª¤Á¤ë¤È¤­¤Ï¡¢°ÂÄê¤Ã¤Ý¤¤¤·¡¢ Äì¤Ç¤Õ¤é¤Õ¤é¤·¤Æ¤¤¤ë¤È¤­¤ÏÃæÎ©¤Ã¤Ý¤¤¡£¤½¤³¤ÎÃæÎ©¤Ã¤Ý¤¤¤â¤Î¤È°ÂÄê¤Ã¤Ý¤¤ ¤â¤Î¤ò¤ï¤±¤Æ¡¢ÃæÎ©¤Ã¤Ý¤¤¤â¤Î¤ÎÂç°èŪ¤Ê±¿Æ°¤ò¤È¤ê¤À¤»¤Ð¤¤¤¤ ---- ¤È¤¤¤¦¤è¤¦¤Ê´¶¤¸¤Ï¡¢¤â¤Ã¤Æ¤¤¤¿¡£¤½¤¦¤¤¤¦¤â¤Î¤ò¶¯°ú¤Ë¤È¤ê¤À¤¹Áàºî¤È¤·¤Æ¡¢ ¡ÊÎÓ¤µ¤ó¤¬¡Ëlarge scale ¤Ê¥Ý¥Æ¥ó¥·¥ã¥ë¤ò¤«¤±¤¿¤È¤­¤Î±þÅú¤òÃúÇ«¤Ë¤·¤é¤Ù¡¢ ¤½¤Î¿¶¤ëÉñ¤¤¤òÍý²ò¤¹¤ë¤¿¤á¤Î¿§¡¹¤Ê¼êË¡¤ò¡¢½Õ¤â²Æ¤âÇòÈĤÎÁ°¤ÇµÄÏÀ ¤·¤Ä¤Å¤±¤Æ¤­¤¿¡£¡ÊʬΥ¾ò·ï¤ò¡Ê¶öȯŪ¤Ë¡Ë¸«¤Ä¤±¤¿¤Î¤ÏÂ礭¤ÊÁ°¿Ê¤À¤Ã¤¿¤¬¡¢ ¤½¤ì¤ò¤È¤ê¤À¤¹¼ê³¤­¤Ï¤Þ¤À¤À¤Ã¤¿¡£¡Ë

Á´¤¯°ã¤¦Æ°µ¡¤Ç»÷¤¿¤³¤È¤ò¤ä¤í¤¦¤È¤·¤Æ¤¤¤¿¸¶ÅĤµ¤ó¤Î¥Î¡¼¥È¤Î¤ª¤«¤²¤Ç¡¢ ÆÍÇ˸ý¤¬¾¯¤·¤Å¤Ä¤ß¤¨¡¢¤¤¤Þ¤ä´°Á´¤ËÍý²ò¤·¤¿¡£¼Â¤Ï¡¢normal form theory ¤Î¤Ò¤È¤Ä¤ÎήÇÉ [* ¤¿¤¯¤µ¤ó¤ÎήÇɤ¬¤¢¤ë¡£poincare ¤é¤Î¸ÅŵήÇɤǤâ¤Ê¤¤¤·¡¢ Bogoliubov ¤é¤ÎĶͭ̾ήÇɤǤâ¤Ê¤¤¡£¡ÊÈùʬÊýÄø¼°¤ËÂФ¹¤ë¡Ë¥¤¥ê¥Î¥¤ RG ¤â¡¡normal form theory¡¡¤ÎÊѼï¤Ç¤¢¤ë¤¬¡¢¤â¤Á¤í¤ó¡¢¤½¤ì¤Ç¤â¤Ê¤¤¡£ ¤¿¤Ö¤ó¡¢¥Þ¥¤¥Ê¡¼¤ÊήÇɤǤ¢¤í¤¦¡£]¤ò°ËÆ£¤Î³ÎΨ²òÀϤò¤Õ¤Þ¤¨¤Æ ÀµÅö¤Ë³ÈÄ¥¤¹¤ì¤Ð¡¢¤¦¤¨¤Î¥é¥Õ¤ÊÉÁÁü¤ËÂбþ¤¹¤ë°ÂÄê¤À¤ÎÃæÎ©¤À¤Î¤¤¤¦¹½Â¤¤¬ ¼«Á³¤Ë¤ß¤¨¤ë¡Ê¡á¡¡ÅÚÍËÆü¤Ë¤È¤É¤á¤ò½ñ¤¤¤¿À®²Ì¤Ç¤¢¤ë¤¬¡¢Ëͤ¬¤½¤ÎήÇɤò ÃΤäƤ¤¤¿¤³¤È¤È¡¢¸¶ÅĤµ¤ó¤Î¥Î¡¼¥È¤ò»ý¤Ã¤Æ¤¤¤¿¡¢¤È¤¤¤¦¤³¤È¤Ë¤¹¤®¤Ê¤¤¡£) ¤½¤·¤Æ¡¢¤½¤ÎΩ¾ì¤Ç¤Ï¡¢ÃæÎ©¹½Â¤¤ò°ÂÄêÉôʬ¤«¤éʬΥ¤¹¤ë¾ò·ï¤¬¡¢²Æ¤Î¡¡ Hayashi-Sasa¡¡¤Îľ¸ò¾ò·ï¤Ë¤Ê¤ë¡£[´°Á´¤ËÍ·¤Ó¤ÎÏäˤʤë¤Î¤Ç¤ä¤ë¤Ä¤â¤ê¤Ï¤Ê¤¤¤¬¡¢ ¤³¤ÎÌäÂê¤ò¥¤¥ê¥Î¥¤ RG style ¤Ç¤«¤¯¤³¤È¤â¤Ç¤­¤Æ¡¢¤½¤Î¾ì¹ç¤Ï¡¢¤ª¤½¤é¤¯¡¢ ȯ»¶¤òµÛ¼ý¤¹¤ë¾ò·ï¡Ê¡á¤¯¤ê¤³¤á¤ë¤È¤¤¤¦¤³¤È¡Ë¤ÈHayashi-Sasa¡¡ ¤Îľ¸ò¾ò·ï¤ÏƱ¤¸¤Ë¤Ê¤ë¤Ï¤º¡£<-- ¤³¤ó¤Ê¤³¤È¤Ë´î¤ó¤Ç¤Ï¤¤¤±¤Ê¤¤¡£]

£±£±·î£±£± (ÌÚ)¡¡¡Á£±£²Æü¡Ê¶â¡Ë

¤¢¤¤¤Æ¤¤¤ë»þ´Ö¤Ç¡¡Langevin normal form theory ¤Î¥·¥§¡¼¥×¥¢¥Ã¥×¡£¼Í±Æ±é»»»Ò ¤Ë´Ø¤ï¤ëÏäò´°Á´ÄÉÊü¤¹¤ë¡£ÊªÍý¤Ë´Ø·¸¤Ê¤¤¿ô³Ø¤Îµ»Ë¡¤È¤·¤Æ¤Ï¤³¤ê¤¹¤®¤Æ¤¤¤ë ¤Î¤Ç¡¢Å±µî²Äǽ¤Ç¤¢¤ë¡¢¤È¤ÎÊý¿Ë¤ÇÀ°ÍýÀ°ÆÜ¡£ÌÚÍËÆü¤Î¸¦µæ¼¼¥»¥ß¥Ê¡¼¤ÎÃʳ¬¤Ç¤Ï¡¢ ¼Í±Æ±é»»»Ò¤¬¾Ã¤¨¤Æ¤¤¤Æ¡¢¶âÍËÆü¤Ë¤Ï¦Ä´Ø¿ô·Ðͳ¤Î¤ª¤½¤í¤·¤²¤Ê¤â¤Î¤â¾Ã¤·¤¿¡£ ¤³¤ì¤Ç¡¢Mori-Fujisaka ¤È¤ÎÀÜÅÀ¤ÏÁ´¤¯¤Ê¤¯¤Ê¤Ã¤¿¡£¼Í±Æ±é»»»Ò¤È¤ÎÂбþ¤Ï½ñ¤¤¤¿Êý¤¬ ¿ÆÀڤʤΤǡ¢ÉÕÏ¿¤ÇÀâÌÀ¤¹¤ë¤³¤È¤Ë¤Ê¤ë¤Î¤À¤í¤¦¡£

£±£±·î£±£° (¿å)¡¡

ºòÌë¤Î¥¢¥¤¥Ç¥¢¤Ï´ðËÜŪ¤Ë¤Ï¤è¤µ¤²¤À¤±¤É¡¢ºÙ¤«¤¤¤È¤³¤í¤Ç¡¢¼ê¤¬¤µ¤¯¤µ¤¯ ư¤«¤Ê¤¤¡£

¤¢¤ë¥â¥Ç¥ë¤ò²òÀϤ¹¤ë¤ÈÊ£»¨¤Ç¼ê¤Ë¤ª¤¨¤Ê¤¤¤È¤­¡¢¤¢¤ë¶Ë¸Â¤Ç¡¢¤½¤Î´Êñ¤Ê ¥â¥Ç¥ë¤Ëµ¢Ãå¤Ç¤­¤ëÊ̤Υâ¥Ç¥ë¤ò¤Ä¤¯¤ê¤¢¤²¤ë¤È¡¢¤ß¤«¤±¤Ï¾¯¤·Ê£»¨¤Ë¤Ê¤ë ¤±¤ì¤É¡¢¥â¥Ç¥ë¤Î²òÀϤ¬³ÊÃʤ˰פ·¤¯¤Ê¤ë¾ì¹ç¤¬¤·¤Ð¤·¤Ð¤¢¤ë¡£¤³¤Î¤è¤¦¤Ê Îã¤Ï¤¤¤¯¤Ä¤«¤¢¤ê¡¢ÍýÏÀ¤Î¾ïÅå¼êÃʤΤҤȤĤǤ¢¤ë¡£¡Ö¥â¥Ç¥ë¤ÎËä¤á¹þ¤ß¡× ¤È¸Ä¿ÍŪ¤Ë¤è¤ó¤Ç¤¤¤ë¡£ºòÆü¤«¤é¹Í¤¨¤Æ¤¤¤ë¤Î¤Ï¡¢¤³¤ÎËä¤á¹þ¤ß¤Ç¤¢¤ë¡£ ³ÎΨŪ¤Ë¥Ý¥Æ¥ó¥·¥ã¥ë¤¬ÀÚ¤êÂØ¤ï¤ë¡Ê¡áʬ»Ò¤Î¤¯¤Ã¤Ä¤­¤È²òÎ¥¤ËÁêÅö¤¹¤ë¡Ë ¤³¤È¤Ë¤è¤Ã¤Æ¾ÜºÙ¤Ä¤ê¤¢¤¤¤¬Çˤ졢¶îưÎϤ¬À¸¤¸¤ë¥Ö¥é¥¦¥ó¥â¡¼¥¿¡¼¤Î »þ´ÖȯŸ¤òÀè½µ¤Î¡¡normal form ¤ÎÁÇľ¤Ê³ÈÄ¥¤Ç¤Ä¤¯¤ë¤È¡¢¥é¥ó¥À¥à¹ÔÎó¤Î ÀѤΤ¦¤ó¤¿¤é¤«¤ó¤¿¤é... ¤È¤¤¤¦ÌäÂê¤Ë¤Ê¤Ã¤Æ¤·¤Þ¤¤¡¢¤È¤Æ¤âÍ­ÍѤÊɽ¸½ ¤Ë¤Ê¤ê¤½¤¦¤Êµ¤¤¬¤·¤¤¡£¤½¤³¤Ç¡¢Ëä¤á¹þ¤ó¤Ç¤ä¤ë¤È¡¢»¶°ï·¸¿ô¤ÎÊĤ¸¤¿¼° ¤¬µá¤Þ¤ë¡Ê¤Ï¤º¡Ë¤Ê¤ó¤À¤¬¡£¡£¡£¶Ú½ñ¤­¥Î¡¼¥È¤À¤±¤Ï½ñ¤¤¤Æ¤ª¤¯¤ë¡£

£±£±·î£¹Æü (²Ð)¡¡

£±½µ´Ö¸å¤Ë¤»¤Þ¤Ã¤¿Àîºê¤µ¤ó¤Î½¸Ãæ¹ÖµÁ¤Î°ÆÆâ¤ò¢¬¤Ë½ñ¤¤¤¿¡£

Ä«¤ÎÅż֤ǹͤ¨¤Æ¤¤¤¿¡¢¤Ñ¤¿¤Ñ¤¿·Ï¤Î¡¡normal form ¤Î¥¢¥¤¥Ç¥¢¤Ï¡¢ µ¢¤ê¤ÎÅż֤ǤĤ֤줿¡£¤¦¡¼¤ó¡£¶Ä¡¹¤·¤¤µÄÏÀ¤ò¤Õ¤ê¤Þ¤ï¤»¤Ð¡¢Íߤ·¤¤ normal form ¤¬Â¸ºß¤¹¤ë¡¢¤È¤¤¤¦¤³¤È¤Ï¤¤¤¨¤½¤¦¤À¤¬¡¢¤½¤ì¤Ç¤Ï»È¤¨¤Ê¤¤¡£ µ¢Âð¸å¡¢ÀäÂФ˺£ÆüÃæ¤Ë¥¢¥¤¥Ç¥¢¤ò¤À¤¹¡¢¤È¤¤¤¦¶¯¤¤µ¤É餤¤Î¤â¤È¤Ç ¤¢¤ì¤³¤ì¼ê¤òư¤«¤¹¡£ÉԻ׵Ĥʤ³¤È¤Ë¡¢¤Á¤ã¤ó¤È¤â¤Ã¤È¤â¤é¤·¤¤°Æ¤¬ ¤ª¤ê¤Æ¤­¤¿¡£ÃúÇ«¤Ê³Îǧ¤ÏÌÀÆü¡£

£±£±·î£¸Æü (·î)¡¡

ÈùʬÊýÄø¼°ÏÀ¤Î¡¡normal form theory ¤ÎºÇ¶á¤Î¿ÊŸ¤òÄ´¤Ù¤ë¡£¿ô³ØÅª¤Ë¤Ï ¾¯¤·¤Å¤Ä¿ÊŸ¤·¤Æ¤¤¤ë¤è¤¦¤À¤±¤É¡¢·×»»µ»½Ñ¤ËÊѲ½¤Ê¤·¡¢¤Èº£Æü¤ÏȽÃÇ¡£ ¡Êɾ²Á¤Î¾ÚÌÀ¤Ë¿ÊÊâ¤Ï¤¢¤ë¤±¤ì¤É¡¢¤ª¤É¤í¤¯¤è¤¦¤Ê¤â¤Î¤Ç¤Ï¤Ê¤¤¡£¡Ë ¤³¤Î¡¡normal form theory ¤È¡¡¸Ä¿ÍŪ¤Ë¡¡Langevin ·Ï¤Îɸ½à·ÁÍýÏÀ¤È¸Æ¤ó¤Ç ¤¤¤ë¤â¤Î¤Ë¡¢¿ô³Ø¤È¤·¤Æ¤ÎÂбþ¤â¤¢¤ë¤è¤¦¤Êµ¤¤¬¤¹¤ë¡£É½Ì̾å¤Îµ»¹ª¤Ï°ã¤¦ Éôʬ¤¬È¾Ê¬¡¢»÷¤Æ¤¤¤ëÉôʬ¤¬È¾Ê¬¡¢¤È¤¤¤¦¤È¤³¤í¤À¤¬¡£¤³¤ÎÂбþ¤¬¤â¤¦¤¹¤³¤· ¤ß¤¨¤ì¤Ð¡¢¤¤¤Þ¤Î¤Þ¤Þ¤À¤È¼ÂºÝ¾å¤Î·×»»¤¬ÉÔ²Äǽ¤Ê¤Ñ¤¿¤Ñ¤¿·Ï¤Ë¤âÂÐ½è ¤Ç¤­¤ë¤«¤â¤·¤ì¤Ê¤¤¡£

£±£±·î£·Æü (Æü)¡¡

ÏÀʸ ¤ÎÂç²þÄû¤Ë Ãå¼ê¤¹¤ë¡£¤³¤ÎÏÀʸ¡¢PR E Åê¹Æ»þ¡¢¤Ò¤È¤ê¤Îreferee¡¡¤Ï¡¡¡û¡¡¤À¤¬¡¢¤Ò¤È¤ê ¤«¤éÃúÇ«¤Ê¥³¥á¥ó¥È¤È¼ÁÌ䤬¤­¤Æ¡¢¤Ê¤ë¤Û¤É¤â¤Ã¤È¤â¤Ê¥³¥á¥ó¥È¤¿¤Ä¤À¤Ã¤¿¤Î ¤À¤¬¡¢¤½¤ì¤ËÁ´¤ÆÅú¤¨¤ë¤Ë¤Ï¡¢¤«¤Ê¤ê¤Î½ñ¤­Ä¾¤·¤¬É¬Íפǡ¢¤¤¤Ã¤½º¬Ëܤ«¤é½ñ ¤­Ä¾¤¹¤Ù¤­¤À¤Ê¤¡¡¢¡¢¤È¤³¤³¤Þ¤Ç¤ª¤¤¤Æ¤¤¤¿¡£¥¿¥¤¥È¥ë¤âintroduction ¤â¹½À® ¤âÁ´¤Æ¤¤¤ì¤«¤¨¤Æ¡¢¤Ä¤¤¤Ç¤Ë¥Ç¡¼¥¿¤â¤È¤ê¤Ê¤ª¤½¤¦¤«¡¢¤È»×¤Ã¤Æ¤¤¤ë¡£·×»»µ¡ ¼ÂÁõ¥ì¥Ù¥ë¤ÎÎ̤ÎÄêµÁ¤Ï¤½¤Î¤Þ¤Þ¤À¤¬¡¢ÏÀʸ¤Ç¤Î¥¨¥ó¥È¥í¥Ô¡¼À¸À®¤ÎÄêµÁ¤Îɽ¸½ ¤Ï¤«¤¨¤ë¤Ä¤â¤ê¡£¤³¤ÎÏÀʸ¡¢³ØÌäŪ¤Ë¤Ï¡¢¤¤¤Þ¤ÀĶ̤½Ï¤ÊÃʳ¬¤À¤¬¡¢»×¤¤Æþ¤ì¤Ï Â礭¤¤¡£¸Ä¿ÍŪ¤Ë¤Ï¡¢SST ¤â¤³¤ì¤Ê¤¯¤·¤Æ¤Ï¤Ê¤«¤Ã¤¿¡£¼ÂºÝ¡¢Hatano-Sasa ¤Ï ¤³¤ì¤ò³ÎΨ²áÄø¤ËËÝÌõ¤·¤¿¤â¤Î¤¬¥Ù¡¼¥¹¤Ë¤¢¤Ã¤Æ¡¢Hatano-Sasa ¤Ë¸½¾ÝÏÀŪ¹Í»¡ ¤òÆþ¤ì¤Æ¤¤¤¯¤Ù¤­¤À¤È·è°Õ¤·¤¿¤Î¤¬¡¡ 2000ǯ £±£²·î£±£¹Æü¡Ê²Ð¡Ë ¤À¤Ã¤¿¡£[¤½¤ÎÁ°¸å¤òÆÉ¤à¤È¡¢¹Í»¡³«»Ï¸å £´ÆüÌܤΣ±£²·î£²£³Æü¡ÊÅڡˤˡ¢¡É¤º¤ê·Ï¤ÈÉáÄ̤ÎÇ®ÎϳطϤòÀÜ¿¨¤µ¤»¤Æ¡¢¿»Æ©°µ ¤Ã¤Ý¤¤µÄÏÀ¤ò¤¹¤ì¤Ð¡¢.....¡É¤È¤¤¤¦¤³¤È¤Þ¤Ç½ñ¤¤¤Æ¤¤¤ë¡£¤Ø¤§¡£] ¤Ä¤¤¤Ç¤Ë¤³¤ÎÆüµ­¤Ï¡¢Hatano-Sasa ¤ÎÅê¹ÆÁ°Ìë¤Î 2000ǯ£±£°·î£²£³Æü ¡¡¤«¤é¤Ï¤¸¤Þ¤Ã¤Æ ¤¤¤ë¡£

£±£±·î£´Æü (ÌÚ)¡¡¡Á£±£±·î£¶Æü¡ÊÅÚ¡Ë

ÌÚÍËÆü¡¢¸¶ÅĤµ¤ó¤¬É¸½à·Á¤Î¡¡consistency check ¤òÁᮤä¤Ã¤Æ¤¤¤Æ¡¢ÈóÊ¿¹Õ¾ò·ï ¤Ç¤Ï¤¢¤ï¤Ê¤¤¤«¤â... ¤È¤¤¤¦Âè°ìÊó¤ò¤â¤é¤¦¡£¤³¤ì¤¬ËÜÅö¤Ê¤é¤Þ¤º¤¤¤Î¤Ç¡¢¥Î¡¼¥È¤ò ¤ß¤Ê¤ª¤¹¡£´Ö°ã¤¤¤Ï¤Ê¤¤¤è¤¦¤Ë¤ß¤¨¤ë¡£¿²¤Ê¤¬¤éÊý¿Ë¤ò¹Í¤¨¤ë¡£¤è¤·¡¢¸¶ÅĤµ¤ó ¤¬¸¡¾Ú¤·¤è¤¦¤È¤·¤¿¤â¤Î¤Ï¡¢¡Ê¤â¤·¤¢¤Ã¤Æ¤¤¤ë¤Ê¤é¡Ë¡¢¼°ÊÑ·Á¤À¤±¤ÇľÀܳΤ«¤á ¤ë¤³¤È¤â¤Ç¤­¤ë¤Ï¤º¤À¤«¤é¡¢¤ä¤Ã¤Æ¤ß¤Ã¤«¡£¶âÍËÆü¡¢ÀΤΥΡ¼¥È¤ò¤Ò¤Ã¤Ñ¤ê¤À¤·¤Æ ¤­¤Æ¡¢¤¢¤¤¤¿»þ´Ö¤Ë¼°¤ò¤Ë¤é¤à¡£ºò²Æ¤Îµ»¹ª¤Ë²Ã¤¨¤Æ¡¢¿·¤¿¤Êµ»¹ª¤ò¤â¤¦°ìȯƳÆþ ¤Ç¤­¤¿¤é¤Ê¤ó¤È¤«¤Ê¤ê¤½¤¦¡£Í¼Êý¡¢²¥¤ê¤¬¤­¤Ç¶Ú¤ò¤Ä¤¯¤ë¡£µ¢¤ê¤ÎÅż֤ÎÃæ¤Ç À¶½ñ¤·¤Æ¡¢µ¢Âð¸åtex²½¤¹¤ë¡£ÅÚÍËÆü¤ÎÄ«¡¢¥Î¡¼¥È¤ò¤·¤¢¤²¤Æ¤ª¤¯¤ë¡£

£±£±·î£³Æü (¿å)

SST ÏÀʸ ¸ø³«¡£ ²ó¸ÜÏäϻ³¤Î¤è¤¦¤Ë¤¢¤ê¤Þ¤¹¤¬¡¢¤½¤ì¤Ï¾Êά¤·¤Æ¡¢¤³¤ÎÏÀʸ¤Î³Ú¤·¤¤ÆÉ¤ßÊý¤Ë¤Ä¤¤¤Æ ¤³¤³ ¤Ë½ñ¤­¤Þ¤¹¡£

Langevin ɸ½à·Á¡§¹ÔÎó¤òÂгѲ½¤¹¤ë¤Î¤ÈƱ¤¸¤è¤¦¤Ë¡¢Langevin ¥â¥Ç¥ë¤«¤é ¬ÄêÎ̤òÍۤˤâ¤ÄÊ̤Υ¿¥¤¥×¤ÎLangevin ¤ËƱÃÍÊÑ·Á¤·¤Æ¤¤¤¯¼ê³¤­¤ÎÌÀ¼¨²½ ¤È¤¤¤¦Ï©Àþ¤Ç¥Î¡¼¥È¤ò¤Ä¤¯¤ê¤Ê¤ª¤¹¡£¤¢¤¿¤ê¤Þ¤¨¤Î¤³¤È¤À¤¬¡¢Æ¬¤Ç¹Í¤¨¤Æ¤¤¤¿ Ãʳ¬¤È»æ¤Î΢¤Ç¥¹¥±¥Ã¥Á¤¹¤ëÃʳ¬¤ÈTex note ¤ò¤Ä¤¯¤ëÃʳ¬¤Ç¤Ï¡¢ÀºÅÙ¤¬°ã¤¤¡¢ º£Æü¤Ïº£Æü¤Ç¾¯¤·¤ª¤¿¤ª¤¿¤·¤¿¡£¤È¤ê¤¢¤¨¤º¤Î¥Ñ¥¹¤ÏÄ̤俤Τǡ¢¤Ò¤È¤¯¤®¤ê ¤Ä¤±¤Æ¥Î¡¼¥È¤ò¤ª¤¯¤ë¡£¤Þ¤ÀºÙ¤«¤¤¤È¤³¤í¤ÏÉÔÈ÷¤¬¤¢¤ë¤«¤Ê¡£¡£

¤Á¤Ê¤ß¤Ë¡¢Ëͤ¬º£¡Öɸ½à·Á¡×¤È¤è¤ó¤Ç¤¤¤ë¤Î¤Ï¡¢¼Â¤Ï¡¢ºòǯ¡¢¸¶ÅĤµ¤ó¤¬ ¡Ö¤³¤Î¼ê¤Îɽ¸½¤¬¤¢¤ê¤¦¤ë¤Î¤Ç¤Ê¤¤¤«¡×¤È¤¤¤Ã¤Æ¤¤¤¿¤â¤Î¤È·Á¤Î¾å¤Ç¤Ï¤Û¤È¤ó¤É Ʊ¤¸¤Ç¤¢¤ë¡£Ëͤϡ¢¡Ö¤½¤ó¤Êɽ¸½¤ÏʪÍý¤È¤·¤Æ¤É¤¦¤¤¤¦¾õ¶·¤ò¤­¤ê¤À¤·¤¿¤Î¤« ÉÔÌÀ¤À¡£¡×¤ÈÈÝÄêŪ¤Ê°Õ¸«¤ò¸À¤Ã¤Æ¤¤¤Æ¡¢Á´¤¯¡¢¸«¤¨¤Æ¤Ê¤«¤Ã¤¿¡£ÀÄ¿¹³Ø²ñ¤Ç ¼Í±Æ±é»»»Ò¤ÎÏäò¤º¤Ã¤ÈµÄÏÀ¤·¤¿¤È¤­¤â¡¢Ëͤϡ¢Hayashi-Sasa¡¡¤Îľ¸ò¾ò·ï¤ò °ÌÃ֤Ť±¤ë¤¿¤á¤Î¥Ò¥ó¥È¤¯¤é¤¤¤Ë¤·¤«¹Í¤¨¤Æ¤ª¤é¤º¡¢¤³¤Î£±£°Æü´Ö¤ÎŸ³«¤Ï »×¤¤¤â¤è¤é¤Ê¤¤¤â¤Î¤Ç¤¢¤ë¡£¼ã¤¤¸¦µæ¼Ô¤¿¤Á¤¬¾ï¼±¤Ë¤È¤é¤ï¤ì¤Ê¤¤Êý¸þ ¤Ç²¿¤«¤ò¿¿·õ¤ËÌϺ÷¤·¡¢·ë²Ì¤È¤·¤Æ¡¢¿·¤·¤¤Êý¸þ¤ò¤Ä¤¯¤í¤¦¤È¤·¤Æ¤¤¤ë¤Î¤Ï ÂçÊѳڤ·¤¤¤³¤È¤À¡£¡£¡£Ëͤϡ¢¼ã¤µ¤òµÛ¤¤¼è¤Ã¤Æ¡¢Ä¹À¸¤­¤¹¤ëÏ©Àþ¤Ç¤¤¤­¤Þ¤¹¡£

½ñ¤«¤Ê¤¤¤È¤¤¤±¤Ê¤¤Ê¸½ñ¤ÎÎब¤¿¤Þ¤Ã¤Æ¤­¤Æ¤¤¤ë¡£½èÍý¤¬¤ª¤¤¤Ä¤«¤Ê¤¤¡£ º¤¤Ã¤¿¤Ê¡£

£±£±·î£±Æü (·î)¡Á£±£±·î£²Æü¡Ê²Ð¡Ë

Langevin normal form: ·îÍËÆüÄ«¤ÎÅż֤ǡ¢¥â¥Ç¥ë¤Ë¤è¤Ã¤Æ¤Ï¡¢º£¤ÎÏ©Àþ¤Ç¤Ï¡¢ Ê£»¨¤Ë¤Ê¤ë¡Ê¡á¤¢¤Þ¤êÍ­ÍѤǤʤ¤¡Ë¤³¤È¤Ëµ¤¤Å¤¤¤Æ¤¦¤Ê¤ë¡£¡Önormal form ¤¬°ì°Õ ¤Ç¤Ê¤¯¡¢Ê̤βÄǽÀ­¤â¤¢¤ë¤Î¤Ç¤Ï¡¢¡¢¡×¤È¤¤¤¦¥³¥á¥ó¥È¤¬¡¢¶ñÂÎÎã¤È¤È¤â¤Ë¸¶ÅĤµ¤ó ¤«¤éÆÏ¤¤¤¿¤Î¤Ç¡¢µ¢¤ê¤ÎÅż֤ǡ¢¡ÊƬ¤ÎÃæ¤Ë¤¢¤Ã¤Æ¤Þ¤À»æ¤Ë½ñ¤¤¤Æ¤¤¤Ê¤«¤Ã¤¿¡Ë °ì°Õ¤Î°ÕÌ£¤È¤½¤Î¾ÚÌÀ¤ò¤«¤­¤Ï¤¸¤á¤ë¤¬¡¢¿²¤ë¤Þ¤Ç¤Ë¤Ç¤­¤Ê¤¤¡£²ÐÍËÆü¤ÎÄ«¤ÎÅż֤Ǥ⠤Ǥ­¤º¡¢Ãë²á¤®¤Ë²ò·è¤·¤¿¡Ê¤Ä¤â¤ê¡Ë¡£µ¢¤ê¤ÎÅż֤ȵ¢Âð¸å¤Ë¥Î¡¼¥È¤ò½ñ¤¯¡ÊͽÄê¡Ë¡£ tilted model °Ê³°¤Ç¤ä¤ä¤³¤·¤¯¤Ê¤ë¤³¤È¤Î²ò·è¤Ï¤Þ¤À¤Ç¤­¤Æ¤¤¤Ê¤¤¡£

SSTÏÀʸ¤ÎºÇ¸å¤Î¥Á¥§¥Ã¥¯¤ò¤¹¤ë¡£Í¼Êý¡¢ Åĺꤵ¤ó¤¬ preprint server¤Ëup¤·¤Æ¤¯¤ì¤¿¡£

Àè·î¤ÎÆü¡¹¸¦µæ