GROWTH-RATES FOR FAST KINEMATIC DYNAMO INSTABILITIES OF CHAOTIC FLUID-FLOWS

被引：42
作者：
DU, YS
OTT, E
机构：
[1] UNIV MARYLAND,DEPT PHYS,COLL PK,MD 20742
[2] UNIV MARYLAND,DEPT GEOL & GEOPHYS,COLL PK,MD 20742
来源：
JOURNAL OF FLUID MECHANICS | 1993年 / 257卷
关键词：
D O I：
10.1017/S0022112093003076
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
It is shown that the exponential growth rate of the fast kinematic dynamo instability can be related to the Lagrangian stretching properties of the underlying chaotic flow. In particular, a formula is obtained relating the growth rate to the finite time Lyapunov numbers of the flow and the cancellation exponent kappa. (The latter quantity characterizes the extremely singular nature of the magnetic field with respect to fine-scale spatial oscillation in orientation.) The growth rate formula is illustrated and tested on two examples: an analytically soluble model, and a numerically solved spatially smooth temporally periodic flow.
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收藏
页码：265 / 288
页数：24
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共 39 条
[31]   GROWTH OF MONOSODIUM URATE MONOHYDRATE CRYSTALS - EFFECT OF CARTILAGE AND SYNOVIAL-FLUID COMPONENTS ON INVITRO GROWTH-RATES [J].
BURT, HM ;
DUTT, YC .
ANNALS OF THE RHEUMATIC DISEASES, 1986, 45 (10) :858-864
[32]   MICROTURBULENCE AND SOLAR-WIND .1. ANALYTICAL RESULTS FOR FAST MODE INSTABILITY GROWTH-RATES [J].
SCHWARTZ, SJ .
JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 1978, 83 (NA8) :3745-3752
[33]   FAST GROWTH-RATES OF POLYETHYLENE SINGLE-CRYSTALS GROWN AT HIGH-TEMPERATURES AND THEIR RELEVANCE TO CRYSTALLIZATION THEORIES [J].
ORGAN, SJ ;
KELLER, A .
JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS, 1986, 24 (10) :2319-2335
[34]   FAST GROWTH-RATES OF POLYETHYLENE CRYSTALS GROWN AT HIGH-TEMPERATURES - CONCENTRATION AND MOLECULAR-WEIGHT DEPENDENCE [J].
ORGAN, SJ ;
KELLER, A .
JOURNAL OF POLYMER SCIENCE PART C-POLYMER LETTERS, 1987, 25 (02) :67-72
[35]   WOOD ANATOMICAL CHARACTERISTICS AND SPECIFIC-GRAVITY OF FAST-GROWING TROPICAL TREE SPECIES IN RELATION TO GROWTH-RATES [J].
OHBAYASHI, H ;
SHIOKURA, T .
MOKUZAI GAKKAISHI, 1990, 36 (10) :889-893
[36]   COMPARATIVE GROWTH-RATES OF VARIOUS RUMEN BACTERIA IN CLARIFIED RUMEN FLUID FROM COWS AND SHEEP FED DIFFERENT DIETS [J].
VANGYLSWYK, NO ;
WEJDEMAR, K ;
KULANDER, K .
APPLIED AND ENVIRONMENTAL MICROBIOLOGY, 1992, 58 (01) :99-105
[37]   SEQUENTIAL PHOTOGRAPHIC ANALYSIS OF DIFFERENT PRIMARY AMNIOTIC-FLUID CELL-TYPES - MORPHOLOGY, GROWTH-RATES AND PATTERNS [J].
FRUCHTMAN, CE ;
MARTIN, AO ;
SIMPSON, JL .
AMERICAN JOURNAL OF HUMAN GENETICS, 1980, 32 (06) :A155-A155
[38]   THE ASSOCIATION OF PATHOLOGIC AND MAMMOGRAPHIC CHARACTERISTICS OF PRIMARY HUMAN-BREAST CANCERS WITH SLOW AND FAST GROWTH-RATES AND WITH AXILLARY LYMPH-NODE METASTASES [J].
HEUSER, LS ;
SPRATT, JS ;
KUHNS, JG ;
CHANG, AFC ;
POLK, HC ;
BUCHANAN, JB .
CANCER, 1984, 53 (01) :96-98
[39]   AN ESTIMATE OF HYDROTHERMAL FLUID RESIDENCE TIMES AND VENT CHIMNEY GROWTH-RATES BASED ON PB-210-PB RATIOS AND MINERALOGIC STUDIES OF SULFIDES DREDGED FROM THE JUAN-DEFUCA RIDGE [J].
KADKO, D ;
KOSKI, R ;
TATSUMOTO, M ;
BOUSE, R .
EARTH AND PLANETARY SCIENCE LETTERS, 1985, 76 (1-2) :35-44
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