Fractals in science: with a MS-DOS program Diskette
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1994
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XV, 298 S. Ill., graph. Darst. 1 Diskette, 3,5" |
| ISBN: | 3540562206 0387562206 3540562214 0387562214 |
Internformat
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| 245 | 1 | 0 | |a Fractals in science |b with a MS-DOS program Diskette |c Armin Bunde ... (eds.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
| 300 | |a XV, 298 S. |b Ill., graph. Darst. |e 1 Diskette, 3,5" | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006040257 | |
Datensatz im Suchindex
| _version_ | 1816443099840249856 |
|---|---|
| adam_text |
CONTENTS
1
A
BRIEF
INTRODUCTION
TO
FRACTAL
GEOMETRY
BY
A.
BUNDE
AND
S.
HAVLIN
(WITH
22
FIGURES)
1.1
INTRODUCTION
.
1
1.2
DETERMINISTIC
FRACTALS
.
2
1.2.1
THE
KOCH
CURVE
.
3
1.2.2
THE
SIERPINSKI
GASKET,
CARPET,
AND
SPONGE
.
5
1.2.3
THE
DURER
PENTAGON
.
8
1.2.4
THE
CANTOR
SET
.
8
1.2.5
THE
MANDELBROT-GIVEN
FRACTAL
.
10
1.2.6
JULIA
SETS
AND
THE
MANDELBROT
SET
.
11
1.3
RANDOM
FRACTAL
MODELS
.
12
1.3.1
RANDOM
WALKS
.
12
1.3.2
SELF-AVOIDING
WALKS
.
13
1.3.3
KINETIC
AGGREGATION
.
14
1.3.4
PERCOLATION
.
16
1.4
HOW
TO
MEASURE
THE
FRACTAL
DIMENSION
.
17
1.4.1
THE
SANDBOX
METHOD
.
17
1.4.2
THE
BOX
COUNTING
METHOD
.
18
1.5
SELF-AFFINE
FRACALS
.
19
1.6
FRACTALS
IN
NATURE
.
23
REFERENCES
.
24
2
FRACTALS
AND
SELF-ORGANIZED
CRITICALITY
BY
P.
BAK
AND
M.
CREUTZ
(WITH
10
FIGURES)
2.1
INTRODUCTION
.
27
2.2
SIMULATIONS
OF
SANDPILE
MODELS
.
29
VIII
CONTENTS
2.3
ABELIAN
SANDPILE
MODELS
.
33
2.3.1
THE
ABELIAN
GROUP
.
33
2.3.2
AN
ISOMORPHISM
.
37
2.3.3
A
BURNING
ALGORITHM
AND
THE
Q
=
0
POTTS
MODEL
.
40
2.4
REAL
SANDPILES
AND
EARTHQUAKES
.
41
2.4.1
THE
DYNAMICS
OF
SAND
.
41
2.4.2
EARTHQUAKES
AND
SOC
.
43
2.5
1/F
NOISE
.
45
2.6
ON
FOREST
FIRES
AND
TURBULENCE
.
45
REFERENCES
.
47
3
FRACTALS
IN
BIOLOGY
AND
MEDICINE:
FROM
DNA
TO
THE
HEARTBEAT
BY
S.V.
BULDYREV,
A.L.
GOLDBERGER,
S.
HAVLIN,
C.-K.
PENG,
AND
H.E.
STANLEY
(WITH
17
FIGURES)
3.1
INTRODUCTION
.
49
3.2
FRACTAL
SHAPES
.
50
3.3
LONG-RANGE
POWER
LAW
CORRELATIONS
.
55
3.4
INFORMATION
CODING
IN
DNA
.
57
3.5
CONVENTIONAL
STATISTICAL
ANALYSIS
OF
DNA
SEQUENCES
.
59
3.6
THE
"
DNA
WALK
"
.
60
3.6.1
GRAPHICAL
REPRESENTATION
.
60
3.6.2
CORRELATIONS
AND
FLUCTUATIONS
.
61
3.7
OTHER
METHODS
OF
MEASURING
LONG-RANGE
CORRELATIONS
.
64
3.8
DIFFERENCES
BETWEEN
CORRELATION
PROPERTIES
OF
CODING
AND
NONCODING
REGIONS
.
65
3.9
LONG-RANGE
CORRELATIONS
AND
EVOLUTION
.
67
3.10
MODELS
OF
DNA
EVOLUTION
.
69
3.11
LONG-RANGE
CORRELATIONS
AND
DNA
SPATIAL
STRUCTURE
.
74
3.12
OTHER
BIOLOGICAL
SYSTEMS
WITH
LONG-RANGE
CORRELATIONS
.
76
3.12.1
THE
HUMAN
HEARTBEAT
.
76
3.12.2
PHYSIOLOGICAL
IMPLICATIONS
.
80
3.12.3
HUMAN
WRITINGS
.
80
3.12.4
DYNAMICS
OF
MEMBRANE
CHANNEL
OPENINGS
.
81
3.12.5
FRACTAL
MUSIC
AND
THE
HEARTBEAT
.
81
3.12.6
FRACTAL
APPROACH
TO
BIOLOGICAL
EVOLUTION
.
81
REFERENCES
.
83
CONTENTS
IX
4
SELF-AFFINE
INTERFACES
BY
J.
KERTESZ
AND
T.
VICSEK
(WITH
10
FIGURES)
4.1
INTRODUCTION
.
89
4.2
ROUGHNESS
AND
PINNING
IN
EQUILIBRIUM
.
92
4.3
DYNAMIC
SCALING
AND
GROWTH
MODELS
.
95
4.4
CONTINUUM
EQUATIONS,
DIRECTED
POLYMERS,
AND
MORPHOLOGICAL
TRANSITIONS
.
98
4.5
EFFECTS
OF
CORRELATED,
POWER-LAW,
AND
QUENCHED
NOISE:
NONUNIVERSAL
ROUGHENING
AND
PINNING
.
107
4.5.1
CORRELATED
NOISE
.
107
4.5.2
NOISE
WITH
POWER-LAW
DISTRIBUTED
AMPLITUDES
.
108
4.5.3
QUENCHED
NOISE
.
110
4.6
SUMMARY
.
114
REFERENCES
.
115
5
A
PRIMER
OF
RANDOM
WALKOLOGY
BY
G.H.
WEISS
(WITH
11
FIGURES)
5.1
INTRODUCTION
.
119
5.2
BASIC
FORMALISM
.
120
5.2.1
JUMP
PROBABILITIES
.
120
5.2.2
CHARACTERISTIC
FUNCTIONS
.
123
5.2.3
THE
CONTINUOUS-TIME
RANDOM
WALK
(CTRW)
.
127
5.2.4
THE
CHARACTERISTIC
FUNCTION
AND
PROPERTIES
OF
THE
LATTICE
RANDOM
WALK
.
129
5.3
ASYMPTOTIC
PROPERTIES
.
132
5.3.1
THE
CENTRAL-LIMIT
THEOREM
AND
SOME
GENERALIZATIONS
.
132
5.3.2
THE
DIFFUSION
APPROXIMATION
.
137
5.3.3
A
MATHEMATICAL
EXCURSION:
ABELIAN
AND
TAUBERIAN
THEOREMS
.
138
5.3.4
ASYMPTOTIC
PROPERTIES
OF
THE
CTRW
IN
AN
UNBOUNDED
SPACE
.
140
5.3.5
ASYMPTOTIC
PROPERTIES
OF
RANDOM
WALKS
ON
A
LATTICE:
RECURRENT
AND
TRANSIENT
BEHAVIOR
.
144
5.3.6
THE
EXPECTED
NUMBER
OF
DISTINCT
SITES
VISITED
BY
AN
N-STEP
RANDOM
WALK
.
146
5.4
RANDOM
WALKS
IN
DISORDERED
MEDIA
.
149
5.4.1
INTRODUCTORY
REMARKS
.
149
5.4.2
THE
TRAPPING
MODEL
.
151
X
CONTENTS
5.4.3
SOME
MODELS
BASED
ON
THE
CTRW
.
155
5.4.4
THE
EFFECTIVE-MEDIUM
APPROXIMATION
.
158
REFERENCES
.
159
6
POLYMERS
BY
M.
DAOUD
(WITH
14
FIGURES)
6.1
INTRODUCTION
.
163
6.2
LINEAR
CHAINS
AND
EXCLUDED
VOLUME
.
164
6.2.1
THE
RANDOM
WALK
.
165
6.2.2
THE
SELF-A
VOIDING
WALK
.
166
6.2.3
DILUTE
SOLUTIONS
.
169
6.2.4
SEMI-DILUTE
SOLUTIONS
.
170
6.2.5
DYNAMICS
.
173
6.3
ADSORPTION
.
176
6.3.1
THE
SINGLE
CHAIN
.
177
6.3.2
THE
PLATEAU
REGIME
.
178
6.4
BRANCHED
POLYMERS
AND
GELS
.
182
6.4.1
THE
SOL-GEL
TRANSITION
.
182
6.4.2
THE
FLORY
APPROXIMATION
.
184
6.4.3
DILUTE
SOLUTIONS
.
184
6.4.4
SEMI-DILUTE
SOLUTIONS
AND
SWOLLEN
GELS
.
188
6.4.5
DYNAMICS
.
190
REFERENCES
.
192
7
KINETICS
AND
SPATIAL
ORGANIZATION
OF
COMPETITIVE
REACTIONS
BY
S.
REDNER
AND
F.
LEYVRAZ
(WITH
6
FIGURES)
7.1
INTRODUCTION
.
197
7.2
IRREVERSIBLE
HOMOGENEOUS
REACTIONS
.
199
7.2.1
DECAY
OF
THE
DENSITY
.
199
7.2.2
INTERPARTICLE
DISTANCES
.
202
7.2.3
THE
DOMAIN-SIZE
DISTRIBUTION
IN
ONE
DIMENSION
.
205
7.2.4
THE
DOMAIN
PROFILE
.
206
7.2.5
THE
INTERPARTICLE-DISTANCE
DISTRIBUTION
.
208
7.3
REACTIONS
WITH
PARTICLE
INPUT
.
209
7.3.1
STEADY
INPUT
AND
DIFFUSING
REACTANTS
.
210
7.3.2
THE
APPROACH
TO
ASYMPTOTIC
BEHAVIOR
.
212
CONTENTS
XI
7.3.3
IMMOBILE
REACTANTS;
EQUIVALENCE
TO
CATALYSIS,
KINETIC
ISING
MODELS,
AND
BRANCHING
RANDOM
WALKS
.
212
7.4
HETEROGENEOUS
REACTION
CONDITIONS
.
217
7.4.1
TRANSIENT
RESPONSE
.
218
7.4.2
STEADY-STATE
BEHAVIOR
.
220
7.5
CONCLUDING
REMARKS
.
223
REFERENCES
.
225
8
FRACTAL
ANALYSIS
IN
HETEROGENEOUS
CHEMISTRY
BY
D.
AVNIR,
R.
GUTFRAIND,
AND
D.
FARIN
(WITH
12
FIGURES)
8.1
INTRODUCTION
.
229
8.2
THE
REACTION
DIMENSION
.
232
8.3
SURFACE
MORPHOLOGY
EFFECTS
ON
DRUG
DISSOLUTION
.
235
8.4
SIZE
EFFECTS
IN
CATALYSIS
.
241
8.5
MULTIFRACTAL
ANALYSIS
OF
CATALYTIC
REACTIONS
.
243
8.6
THE
ACCESSIBILITY
OF
FRACTAL
SURFACES
TO
DERIVATIZATION
REACTIONS
.
247
8.7
CONCLUSION
.
252
REFERENCES
.
252
9
COMPUTER
EXPLORATION
OF
FRACTALS,
CHAOS,
AND
COOPERATIVITY
BY
DENNIS
C.
RAPAPORT
AND
MARTIN
MEYER
(WITH
10
FIGURES)
9.1
INTRODUCTION
.
257
9.2
THE
SOFTWARE
COLLECTION
.
258
9.3
FRACTALS
.
260
9.3.1
DETERMINISTIC
FRACTALS
.
260
9.3.2
STOCHASTIC
LANDSCAPES
.
261
9.4
CELLULAR
AUTOMATA
.
262
9.4.1
CELL
ARRAYS
.
262
9.5
CLUSTER
GROWTH
.
264
9.5.1
DIFFUSION-LIMITED
AGGREGATION
.
265
9.5.2
INVASION
PERCOLATION
.
266
9.6
COOPERATIVE
PHENOMENA
.
266
9.6.1
ISING
MODEL
.
267
9.6.2
PERCOLATION
.
268
9.7
MANY-BODY
SYSTEMS
.
269
9.7.1
SOFT-DISK
FLUID
.
269
XII
CONTENTS
9.8
CHAOS
.
271
9.8.1
LOGISTIC
MAP
.
271
9.8.2
DOUBLE
PENDULUM
.
272
9.9
MORE
COLLECTIVITY
.
273
9.9.1
POLYMERS
.
273
9.9.2
SANDPILES
.
274
9.10
ITERATIVE
PROCESSES
.
274
9.10.1
AFFINE
MAPPINGS
.
275
9.10.2
MANDELBROT
SET
.
275
9.11
SUMMARY
.
277
9A
APPENDIX:
ALPHABETICAL
PROGRAM
LIST
.
277
9B
APPENDIX:
MATHEMATICAL
DETAILS
.
278
REFERENCES
.
279
SUBJECT
INDEX
.
281 |
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV009109726 |
| classification_rvk | UG 3900 VE 5780 |
| classification_tum | MAT 587f MAT 519f |
| ctrlnum | (OCoLC)256619000 (DE-599)BVBBV009109726 |
| discipline | Chemie / Pharmazie Physik Mathematik |
| format | Book |
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| id | DE-604.BV009109726 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:05:31Z |
| institution | BVB |
| isbn | 3540562206 0387562206 3540562214 0387562214 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006040257 |
| oclc_num | 256619000 |
| open_access_boolean | |
| owner | DE-384 DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-20 DE-1028 DE-92 DE-706 DE-634 DE-11 DE-188 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-20 DE-1028 DE-92 DE-706 DE-634 DE-11 DE-188 |
| physical | XV, 298 S. Ill., graph. Darst. 1 Diskette, 3,5" |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| spelling | Fractals in science with a MS-DOS program Diskette Armin Bunde ... (eds.) Berlin [u.a.] Springer 1994 XV, 298 S. Ill., graph. Darst. 1 Diskette, 3,5" txt rdacontent n rdamedia nc rdacarrier Literaturangaben Macintosh (DE-588)4120688-5 gnd rswk-swf MS-DOS (DE-588)4114641-4 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Fraktal (DE-588)4123220-3 s MS-DOS (DE-588)4114641-4 s DE-604 Macintosh (DE-588)4120688-5 s Computersimulation (DE-588)4148259-1 s Bunde, Armin Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006040257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fractals in science with a MS-DOS program Diskette Macintosh (DE-588)4120688-5 gnd MS-DOS (DE-588)4114641-4 gnd Fraktal (DE-588)4123220-3 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4120688-5 (DE-588)4114641-4 (DE-588)4123220-3 (DE-588)4148259-1 |
| title | Fractals in science with a MS-DOS program Diskette |
| title_auth | Fractals in science with a MS-DOS program Diskette |
| title_exact_search | Fractals in science with a MS-DOS program Diskette |
| title_full | Fractals in science with a MS-DOS program Diskette Armin Bunde ... (eds.) |
| title_fullStr | Fractals in science with a MS-DOS program Diskette Armin Bunde ... (eds.) |
| title_full_unstemmed | Fractals in science with a MS-DOS program Diskette Armin Bunde ... (eds.) |
| title_short | Fractals in science |
| title_sort | fractals in science with a ms dos program diskette |
| title_sub | with a MS-DOS program Diskette |
| topic | Macintosh (DE-588)4120688-5 gnd MS-DOS (DE-588)4114641-4 gnd Fraktal (DE-588)4123220-3 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Macintosh MS-DOS Fraktal Computersimulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006040257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bundearmin fractalsinsciencewithamsdosprogramdiskette |