EXACT BOUNDS FROM A NEW SERIES-EXPANSION METHOD FOR RANDOM SEQUENTIAL ADSORPTION

被引:7
作者
CASER, S
HILHORST, HJ
机构
[1] Lab. de Phys. Theor. et Hautes Energies, Univ. de Paris-Sud, Orsay
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 24期
关键词
D O I
10.1088/0305-4470/27/24/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a new series-expansion method for the analysis of the covering fraction Theta in a random sequential adsorption process with nearest-neighbour exclusion on a lattice. It is the first method to yield sequences of increasing lower bounds and decreasing upper bounds on Theta. It is illustrated by numerical calculations for the hexagonal lattice.
引用
收藏
页码:7969 / 7979
页数:11
相关论文
共 11 条
[1]   ON THE DYNAMICS OF RANDOM SEQUENTIAL ABSORPTION [J].
BARAM, A ;
KUTASOV, D .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (06) :L251-L254
[2]   RANDOM SEQUENTIAL ADSORPTION - SERIES AND VIRIAL EXPANSIONS [J].
DICKMAN, R ;
WANG, JS ;
JENSEN, I .
JOURNAL OF CHEMICAL PHYSICS, 1991, 94 (12) :8252-8257
[3]   IRREVERSIBLE RANDOM AND COOPERATIVE PROCESSES ON LATTICES - DIRECT DETERMINATION OF DENSITY EXPANSIONS [J].
EVANS, JW .
PHYSICA A, 1984, 123 (2-3) :297-318
[4]   RANDOM AND COOPERATIVE SEQUENTIAL ADSORPTION [J].
EVANS, JW .
REVIEWS OF MODERN PHYSICS, 1993, 65 (04) :1281-1329
[5]   FACTORS MEDIATING SMOOTHNESS IN EPITAXIAL THIN-FILM GROWTH [J].
EVANS, JW .
PHYSICAL REVIEW B, 1991, 43 (05) :3897-3905
[6]   KINETICS OF RANDOM SEQUENTIAL ADSORPTION - COMMENT [J].
EVANS, JW .
PHYSICAL REVIEW LETTERS, 1989, 62 (22) :2642-2642
[7]   NONEQUILIBRIUM PERCOLATIVE C(2X2) ORDERING - OXYGEN ON PD(100) [J].
EVANS, JW .
JOURNAL OF CHEMICAL PHYSICS, 1987, 87 (05) :3038-3048
[8]   NONEQUILIBRIUM DISTRIBUTION OF ADATOMS RESULTING FROM DISSOCIATIVE ADSORPTION OF A DIATOMIC GAS [J].
HOFFMAN, DK .
JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (01) :95-102
[9]   REVIEW OF NEW EXPERIMENTAL-TECHNIQUES FOR INVESTIGATING RANDOM SEQUENTIAL ADSORPTION [J].
RAMSDEN, JJ .
JOURNAL OF STATISTICAL PHYSICS, 1993, 73 (5-6) :853-877
[10]   RANDOM SEQUENTIAL FILLING OF INTERVALS ON A LINE [J].
WIDOM, B .
JOURNAL OF CHEMICAL PHYSICS, 1973, 58 (09) :4043-4044