MINIMAL FOLIATIONS FOR THE HIGH-DIMENSIONAL FRENKEL-KONTOROVA MODEL  

作　　者：缪雪晴 葛建华 秦文新 王亚南 Xueqing MIAO;Jianhua GE;Wenxin QIN;Yanan WANG(School of Sciences,Nantong University,Nantong 226019,China;Department of Mathematics,Soochow University,Suzhou 215006,China;School of Mathematical Sciences,Nanjing Normal University,Nanjing 210097,China)

机构地区：[1]School of Sciences,Nantong University,Nantong 226019,China [2]Department of Mathematics,Soochow University,Suzhou 215006,China [3]School of Mathematical Sciences,Nanjing Normal University,Nanjing 210097,China

出　　处：《Acta Mathematica Scientia》2023年第2期564-582,共19页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11701298)。

摘　　要：For the high-dimensional Frenkel-Kontorova(FK)model on lattices,we study the existence of minimal foliations by depinning force.We introduce the tilted gradient flow and define the depinning force as the critical value of the external force under which the average velocity of the system is zero.Then,the depinning force can be used as the criterion for the existence of minimal foliations for the FK model on a Z^(d)lattice for d>1.

关 键 词：Aubry-Mather theory Frenkel-Kontorova model minimal foliation depinning force gradient flow 

分 类 号：O175[理学—数学]