Smooth Surface Solutions of the Kardar-Parisi-Zhang Equation in Dimensions Higher than 2+1
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概要
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XX'e sttrdxz time KPZ ecjtr;ttiot? 218 21 corntiratrtruta maaodel descril.citag tlae d5zra?tna?ics of' se[fLaf[itae strr'['21C('S groxvirtg 011 a str1.cstr?tte of' dirtaetnsior? d. Strclt 21 ctrriotrs jcroperty of' the eqtr;xtion is poitttedotrt tl?;tt tlae strr['?xce x',vidtlm deperuds 011 21 naaicroscojcic ctrtofl' cz (or tlae vrjcper ctttoff ,4 irr truetaaortaermttmuta sp;tce) in dinaaet?siorns of' cl >2. raae?tuairag tlae loss of' t[ae tamatIaernaaCical b?tsis. If' lesssingtrlsrrl5' correlstted noises tFmaxta tlte (5 ['trnctiota ?tre itatr'odtrced, x','e can I12lN7(l) I(l)218011211)IC soltttiorus,5'ielditag the x'anislmitag IOLIRIIII(1288 exjcotnermt (Q : 0) atacl tlae d3ztaanaxic exjootuent being eqtratl ToVx'.'o (z = 2), IIOXV str'otug t1?e ruorrlitaestrit3z is. These restrlts 211'[2 confiruaaed b,5' catr'ef'ttlly jcerf'orrtaedt?trraaeric?tl integrtxticota. Tlae KPZ ecjvr?ttiotn tatsxtImetamatic?xlly .jtrstified has only at szaaootln stzrf'atcesoltrtiota inso['atr' 2tS cl >2. XX"[tett d >2, tlae cotatitatrtruuu I<PZ eqtrzttion slaotzld be distizugtnislaedft'oraa siraatrlsttiota taaodels or tl?e discrete x'et'siotus f'or' tatrrtaericarl intec'rsttion.
- 社団法人日本物理学会の論文
- 1999-10-15
著者
-
Honda Katsuya
Department Of Applied Physics Faculty Of Engineering Nagoya University
-
Matsuyama Takashi
Graduate School of Biological Sciences, Nara Institute of Science and Technology
-
Matsuyama Takashi
Graduate School Of Biol. Sci.
-
Matsuyama Takashi
Graduate School Of Human Informatics Nagoya University
-
Honda Katsuya
Department of Mathematical Sciences,Shinshu University
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