Solitons in molecular systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Dordrecht u.a.
Kluwer Academic Publ.
1991
|
| Edition: | 2. ed. |
| Series: | Mathematics and its applications / Soviet series
61. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. - EST: Solitony v molekuljarnykh sistemakh <engl.> |
| Physical Description: | XIII, 413 S. graph. Darst. |
| ISBN: | 0792310292 |
Staff View
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| 264 | 1 | |a Dordrecht u.a. |b Kluwer Academic Publ. |c 1991 | |
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| 490 | 1 | |a Mathematics and its applications / Soviet series |v 61. | |
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| 650 | 4 | |a Soliton | |
| 650 | 7 | |a Solitons |2 ram | |
| 650 | 4 | |a Structure moléculaire presque périodique | |
| 650 | 4 | |a Exciton theory | |
| 650 | 4 | |a Molecules | |
| 650 | 4 | |a Solitons | |
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Record in the Search Index
| _version_ | 1804122663369572352 |
|---|---|
| adam_text | Table of Contents
Series Editor s Preface v
Preface xi
Preface to the Second Edition xiii
Introduction 1
Chapter 1.
Collective Excitations in Quasi Periodical Molecular Structures 17
1. Crisis in Bioenergetics 17
2. Alpha Helical Structure of Proteins 19
3. Collective Excitations in a Single Chain of Peptide Groups 21
4. Excitons in Molecular a Chain 26
5. Solitons in Molecular a Chain 31
6. Solitons in Real a Helical Molecules 35
Chapter 2.
Some Phenomena with Participation of Molecular Solitons 41
7. Solitons and Molecular Mechanism for Muscle Contraction 41
8. Solitons and the Molecular Mechanism of the Effect of Radiation on Cells 44
9. A Possible Mechanism for General Anesthesia 47
10. Intracellular Dynamics and Solitons 48
Chapter 3.
Excitation of Solitons in One Dimensional Systems 51
11. Time Dependent Evolution of Initial Excitation 51
12. Initial Excitation in the Form of a Hyperbolic Secant 54
13. Initial Excitation in the Form of a Rectangular Impulse 57
Chapter 4.
Dynamical Properties of Solitons 67
14. Free Solitons 67
15. Soliton Motion with Friction 69
16. Soliton Motion Affected by External Inhomogeneous Fields 72
viii Table of Contents
Chapter 5.
Solitons in Molecular Systems with Nonlinear Intermolecular Interactions 75
17. The Equation of Soliton Motion for General Intermolecular Interaction 75
18. Cubic Anharmonicity 85
19. Quartic Anharmonicity 88
20. Repulsive Core Potential 90
Chapter 6.
Super Sound Acoustic Solitons 95
21. Solitons in Toda Nonlinear Lattices 95
22. Acoustic Solitons in Molecular Chain with Cubic Anharmonicity 98
23. Acoustic Solitons in Molecular Chain with Quartic Anharmonicity 101
24. The Capture of an Excess Electron by Supersound Acoustic Solitons 102
25. Supersound Solitons in Nonlinear Quasi One Dimensional Molecular Structures 105
Chapter 7
The Theory of Electron Transfer by Solitons 115
26. The Donor Acceptor Model of Electron Transfer by Protein Molecules 115
26.1. Pairing of Two Excess Electrons in a One Dimensional Molecular Chain 124
27. The Interaction of an Electron with Nondipole Optical Phonons 132
Chapter 8
Space Periodic Excitations in Nonlinear Systems 141
28. Mobile Periodical Excitations in One Dimensional Systems 141
28.1. First Type of Periodic Excitations 146
28.2. Second Type of Periodic Excitations 149
29. Elementary Data on Jacobian Elliptic Functions 152
30. Periodic Solutions of the Nonlinear Schrodinger Equation. Cnoidal Waves 157
30.1. Cnoidal Waves of the First Kind 157
30.2. Cnoidal Waves of the Second Kind 159
30.3. Solutions of the Nonlinear Schrodinger Equation
with a Negative Nonlinearity Parameter 160
31. Periodic Solutions for Some Quasiparticles in a Quasi One Dimensional Molecular Chain 162
31.1. Superconductivity of Organic Crystals 167
32. Autolocalized Periodic Thickening of Particles Described by a
Complex Field with Inertialess Self Interaction 175
32.1. First Type of Autolocalized Solutions: Attractive Forces 178
32.2. Second Type of Autolocalized Solutions: Attractive Forces 182
32.3. Repulsive Forces 184
32.4. Autolocalized Excitations in Closed Molecular Chains 187
Table of Contents ix
Chapter 9
The Quantum Theory of Quasiparticle Motion in a Molecular
I Chain Taking into Account Thermal Vibrations 195
33. Equations for the Stationary States of a Quasiparticle in a One Dimensional
Chain within a Thermostat 195
34. Nonlocalized Stationary States of a Quasiparticle 202
. 35. Smooth Autolocalized State Single Soliton 210
36. Solutions Describing the Movement of Periodically Arranged Quasiparticles 221
37. Strong Quasiparticle Autolocalization 226
37.1. Chains with Narrow Energy Bands 230
37.2. Chains with Broad Energetic Bands 236
38. Radiation Excitation of Optical Solitons in Crystalline Acetanilide 238
38.1. Optical Solitons in Crystalline Acetanilide 240
38.2. Absorption of Radiation Resulting from the Creation of Optical Solitons 243
38.3. Acoustic Solitons in an ACN Crystal 247
Chapter 10
The Nonlinear Sine Gordon Equation 255
39. Canonic Form of the Sine Gordon Equation 255
40. Single Phase Solutions of the Sine Gordon Equation 258
40.1. Magnetic Type Wave Solutions 259
40.2. Electric Type Wave Solutions 264
41. The Solution of the Sine Gordon Equation by the Method of Separation of Variables 267
41.1. Single Phase Solutions 268
41.2. Double Phase Solutions 269
41.3. Standing Waves 273
42. Josephson Tunnelling Effect in Superconductors 277
43. The Dynamics of Dislocations in Crystals 280
44. Bloch Wave Motion 283
45. The Propagation of Ultrashort Optical Pulses 287
Chapter 11
Conformational Excitations in One Dimensional Molecular Systems 291
46. Quasi One Dimensional Systems Undergoing Structural Phase Transitions 291
46.1. Order Disorder Transitions 292
46.2. Displacive Transitions 296
Chapter 12
Solitons and Proton Motion in Hydrogen Bonded Molecular Structures 301
47. A Model of Proton Conductivity: Basic Equations 301
48. Proton Motion Neglecting the Interaction between Sublattices 310
49. Proton Motion Taking into Account the Interaction between Sublattice Displacements 312
50. The Motion of Orientational Defects in Chains of Water Molecules 317
50.1. The Motion of Orientational Defects in an Electric Field 321
x Table of Contents
50.2. The Interaction of Orientational Bjerrum Defects 324
51. The Migration of Protons in Near Surface Layers of Water 329
51.1. Proton Pumps in Cellular Membranes 331
51.2. The Role of Structuralized Water in Cartilage Tissues 337
Chapter 13
Three Dimensional Solitons (Polarons) in Ionic Crystals 341
52. The Landau and Pekar Concepts of Autolocalization of the Electron in Ionic Crystal 341
52.1. Adiabatic Theory of Pekar s Polaron 343
53. Generalized Theory of Polarons 348
53.1. The Direct Variational Principle 354
53.2. Energy and Wave Function of a Slow Polaron 355
Chapter 14
The Generation of Solitons and Bisolitons 359
54. The Generation of a Soliton at the Boundary of a Soft Molecular Chain 359
54.1. The Dependence of Wave Functions. Soliton Generation 364
54.2. Bisoliton Generation 367
Chapter 15
Nonlinear Bisolitonic Mechanism ofHigh Tc Superconductivity 369
55. Discovery of High Tc Superconductors and their Basic Properties 369
56. The Basis of the Bisoliton Model ofHigh Tc Superconductivity 372
56.1. Isolated Bisolitons in a Quasi One Dimensional Chain 376
56.2. Bose Condensation of Bisolitons 377
56.3. Stability of the Bisoliton Condensate and Critical Superconducting Currents 385
56.4. Small and Medium Quasiparticle Densities in a Chain 387
56.5. The Generation of Bisolitons at the Boundary of a Metal with Superconductors 391
56.6. Direct Measurements of Energy Gap in Superconductors 392
Bibliography 395
Index 413
|
| any_adam_object | 1 |
| author | Davydov, A. S. 1912-1993 |
| author_GND | (DE-588)128928964 |
| author_facet | Davydov, A. S. 1912-1993 |
| author_role | aut |
| author_sort | Davydov, A. S. 1912-1993 |
| author_variant | a s d as asd |
| building | Verbundindex |
| bvnumber | BV008267953 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.26.W28 |
| callnumber-search | QC174.26.W28 |
| callnumber-sort | QC 3174.26 W28 |
| callnumber-subject | QC - Physics |
| classification_rvk | UP 3700 SK 950 SK 810 |
| ctrlnum | (OCoLC)22505938 (DE-599)BVBBV008267953 |
| dewey-full | 541.2/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 541 - Physical chemistry |
| dewey-raw | 541.2/2 |
| dewey-search | 541.2/2 |
| dewey-sort | 3541.2 12 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV008267953 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:17:27Z |
| institution | BVB |
| isbn | 0792310292 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005461682 |
| oclc_num | 22505938 |
| open_access_boolean | |
| owner | DE-703 DE-19 DE-BY-UBM DE-384 DE-188 |
| owner_facet | DE-703 DE-19 DE-BY-UBM DE-384 DE-188 |
| physical | XIII, 413 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Kluwer Academic Publ. |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spelling | Davydov, A. S. 1912-1993 Verfasser (DE-588)128928964 aut Solitony v molekuljarnych sistemach Solitons in molecular systems 2. ed. Dordrecht u.a. Kluwer Academic Publ. 1991 XIII, 413 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series 61. Aus dem Russ. übers. - EST: Solitony v molekuljarnykh sistemakh <engl.> Bisoliton Equation Sine-Gordon non linéaire Exciton Excitons ram Molécules ram Polaron Soliton Solitons ram Structure moléculaire presque périodique Exciton theory Molecules Solitons Molekülstruktur (DE-588)4170383-2 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Molekül (DE-588)4039972-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Exziton (DE-588)4016091-9 gnd rswk-swf Molekülkette (DE-588)4571016-8 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Chemie (DE-588)4009816-3 gnd rswk-swf Exziton (DE-588)4016091-9 s Soliton (DE-588)4135213-0 s Molekül (DE-588)4039972-2 s 1\p DE-604 Molekülkette (DE-588)4571016-8 s 2\p DE-604 Mathematik (DE-588)4037944-9 s 3\p DE-604 Molekülstruktur (DE-588)4170383-2 s 4\p DE-604 Chemie (DE-588)4009816-3 s 5\p DE-604 Festkörper (DE-588)4016918-2 s 6\p DE-604 Soviet series Mathematics and its applications 61. (DE-604)BV004708148 61 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005461682&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Davydov, A. S. 1912-1993 Solitons in molecular systems Bisoliton Equation Sine-Gordon non linéaire Exciton Excitons ram Molécules ram Polaron Soliton Solitons ram Structure moléculaire presque périodique Exciton theory Molecules Solitons Molekülstruktur (DE-588)4170383-2 gnd Soliton (DE-588)4135213-0 gnd Molekül (DE-588)4039972-2 gnd Mathematik (DE-588)4037944-9 gnd Exziton (DE-588)4016091-9 gnd Molekülkette (DE-588)4571016-8 gnd Festkörper (DE-588)4016918-2 gnd Chemie (DE-588)4009816-3 gnd |
| subject_GND | (DE-588)4170383-2 (DE-588)4135213-0 (DE-588)4039972-2 (DE-588)4037944-9 (DE-588)4016091-9 (DE-588)4571016-8 (DE-588)4016918-2 (DE-588)4009816-3 |
| title | Solitons in molecular systems |
| title_alt | Solitony v molekuljarnych sistemach |
| title_auth | Solitons in molecular systems |
| title_exact_search | Solitons in molecular systems |
| title_full | Solitons in molecular systems |
| title_fullStr | Solitons in molecular systems |
| title_full_unstemmed | Solitons in molecular systems |
| title_short | Solitons in molecular systems |
| title_sort | solitons in molecular systems |
| topic | Bisoliton Equation Sine-Gordon non linéaire Exciton Excitons ram Molécules ram Polaron Soliton Solitons ram Structure moléculaire presque périodique Exciton theory Molecules Solitons Molekülstruktur (DE-588)4170383-2 gnd Soliton (DE-588)4135213-0 gnd Molekül (DE-588)4039972-2 gnd Mathematik (DE-588)4037944-9 gnd Exziton (DE-588)4016091-9 gnd Molekülkette (DE-588)4571016-8 gnd Festkörper (DE-588)4016918-2 gnd Chemie (DE-588)4009816-3 gnd |
| topic_facet | Bisoliton Equation Sine-Gordon non linéaire Exciton Excitons Molécules Polaron Soliton Solitons Structure moléculaire presque périodique Exciton theory Molecules Molekülstruktur Molekül Mathematik Exziton Molekülkette Festkörper Chemie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005461682&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
| work_keys_str_mv | AT davydovas solitonyvmolekuljarnychsistemach AT davydovas solitonsinmolecularsystems |