INTERACTING BROWNIAN PARTICLES AND CORRELATIONS IN SUPERIONIC CONDUCTORS

被引:49
作者
GEISEL, T
机构
[1] Xerox Palo Alto Research Center, Palo Alto
[2] FB Physik, Universitaet Regensburg
来源
PHYSICAL REVIEW B | 1979年 / 20卷 / 10期
关键词
D O I
10.1103/PhysRevB.20.4294
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The role of correlations in superionic conductors is studied in a model of interacting Brownian particles in a periodic potential. A general expression for the ac and dc conductivity is derived and applied to potentials of the Frenkel-Kontorova type with two different periods. The dc conductivity exhibits an oscillatory behavior as a function of the concentration of mobile ions. The absolute maximum of the conductivity of one-dimensional ionic conductors is predicted to occur for concentrations of about 0.75-0.8 ions per well. The model is applied to K-Hollandite for a quantitative analysis of the transport mechanism, showing up short-range correlations rather than collective excitations. © 1979 The American Physical Society.
引用
收藏
页码:4294 / 4302
页数:9
相关论文
共 38 条
[22]   DYNAMICS OF COLLECTIVE EXCITATIONS IN ONE DIMENSIONAL SUPERIONIC CONDUCTORS [J].
PIETRONERO, L ;
STRASSLER, S .
SOLID STATE COMMUNICATIONS, 1978, 27 (10) :1041-1044
[23]   COOPERATIVE DIFFUSION IN ONE DIMENSIONAL IONIC CONDUCTORS AND SOLITON BROWNIAN-MOTION [J].
REMOISSENET, M .
SOLID STATE COMMUNICATIONS, 1978, 27 (07) :681-684
[24]   WEAKLY PINNED FROHLICH CHARGE-DENSITY-WAVE CONDENSATES - NEW, NONLINEAR, CURRENT-CARRYING ELEMENTARY EXCITATION [J].
RICE, MJ ;
BISHOP, AR ;
KRUMHANSL, JA ;
TRULLINGER, SE .
PHYSICAL REVIEW LETTERS, 1976, 36 (08) :432-435
[25]   CONDUCTIVITY PROBLEMS IN 2 DIMENSIONAL INTERCALATION COMPOUNDS [J].
ROUXEL, J .
MATERIALS RESEARCH BULLETIN, 1978, 13 (12) :1425-1431
[26]   FREE SLIDING IN LATTICES WITH 2 INCOMMENSURATE PERIODICITIES [J].
SACCO, JE ;
SOKOLOFF, JB .
PHYSICAL REVIEW B, 1978, 18 (12) :6549-6559
[27]   STATISTICAL MECHANICS OF ONE-DIMENSIONAL GINZBURG-LANDAU FIELDS [J].
SCALAPINO, DJ ;
SEARS, M ;
FERRELL, RA .
PHYSICAL REVIEW B-SOLID STATE, 1972, 6 (09) :3409-+
[28]   CONTINUED FRACTION REPRESENTATION OF CORRELATION-FUNCTIONS [J].
SCHNEIDER, WR .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1976, 24 (01) :135-139
[29]   THEORY OF ONE-DIMENSIONAL IONIC AND SOLITARY-WAVE CONDUCTION IN POTASSIUM HOLLANDITE [J].
SOKOLOFF, JB ;
WIDOM, A .
PHYSICAL REVIEW B, 1978, 18 (06) :2824-2830
[30]   UNDAMPED LATTICE-VIBRATIONS IN SYSTEMS WITH 2 INCOMMENSURATE PERIODICITIES [J].
SOKOLOFF, JB ;
SACCO, JE ;
WEISZ, JF .
PHYSICAL REVIEW LETTERS, 1978, 41 (22) :1561-1564