Nonequilibrium Statistical Mechanics in One Dimension

doi:10.1017/CBO9780511564284

This book reviews one-dimensional reactions, dynamics, diffusion and adsorption. In studies of complex systems in biology, chemistry and physics, understanding can be gained by analytical and numerical analyses of simple models. This book presents review articles at an advanced research level, describing results for one-dimensional models of dynamical processes such as chemical reactions and catalysis, kinetic ising models, phase separation and cluster growth, monolayer and multilayer adsorption with added relaxation, surface and hard-core particle dynamics, diffusional transport, random systems and experimental results. It also covers experimental results for systems ranging from chemical reactions to adsorption and reactions on polymer chains, steps on crystalline surfaces, and DNA. All chapters are written by leading scientists in the field. They present a self-contained review of this subject that will guide a reader from basic concepts, ideas, methods and models to the forefront of research.

"The structure of this book - written by the leading specialists in the field - is well adapted to offer an overview of the current research areas....Due to the recent "hot topics" approached, as well as to its systematic, clear and rigorous structure, this book will be of interest both to graduate students and researchers in theoretical and experimental physics and chemistry, applied mathematics, and biology." mathematical reviews clippings 98h

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Page 1 of 2

First
« Prev
1
2
Next »
Last

Contents

Frontmatter
pp i-vi
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp vii-xii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contributors
pp xiii-xvi
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface
pp xvii-xviii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part I - Reaction-Diffusion Systems and Models of Catalysis
pp 1-2
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - Scaling theories of diffusion-controlled and ballistically controlled bimolecular reactions
pp 3-28
- By Sidney Redner
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - The coalescence process, A + A → A, and the method of interparticle distribution functions
pp 29-50
- By Daniel ben-Avraham
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Critical phenomena at absorbing states
pp 51-70
- By Ronald Dickman
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part II - Kinetic Ising Models
pp 71-72
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - Kinetic Ising models with competing dynamics: mappings, correlations, steady states, and phase transitions
pp 73-92
- By Zoltán Rácz
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - Glauber dynamics of the Ising model
pp 93-110
- By Nobuyasu Ito
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - 1D kinetic Ising models at low temperatures—critical dynamics, domain growth, and freezing
pp 111-140
- By Stephen J. Cornell
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part III - Ordering, Coagulation, Phase Separation
pp 141-142
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - Phase-ordering dynamics in one dimension
pp 143-166
- By Alan J. Bray
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - Phase separation, cluster growth, and reaction kinetics in models with synchronous dynamics
pp 167-180
- By Vladimir Privman
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - Stochastic models of aggregation with injection
pp 181-202
- By Misako Takayasu, Hideki Takayasu
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part IV - Random Adsorption and Relaxation Processes
pp 203-204
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - Random and cooperative sequential adsorption: exactly solvable models on 1D lattices, continuum limits, and 2D extensions
pp 205-228
- By James W. Evans
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Lattice models of irreversible adsorption and diffusion
pp 229-246
- By Peter Nielaba
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - Deposition-evaporation dynamics: jamming, conservation laws, and dynamical diversity
pp 247-260
- By Mustansir Barma
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part V - Fluctuations in Particle and Surface Systems
pp 261-262
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - Microscopic models of macroscopic shocks
pp 263-276
- By Steven A. Janowsky, Joel L. Lebowitz
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - The asymmetric exclusion model: exact results through a matrix approach
pp 277-304
- By Bernard Derrida, Martin R. Evans
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

15 - Nonequilibrium surface dynamics with volume conservation
pp 305-328
- By Joachim Krug
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

16 - Directed-walk models of polymers and wetting
pp 329-334
- By Julia M. Yeomans
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part VI - Diffusion and Transport in One Dimension
pp 335-336
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

17 - Some recent exact solutions of the Fokker-Planck equation
pp 337-358
- By Harry L. Frisch
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

18 - Random walks, resonance, and ratchets
pp 359-370
- By Charles R. Doering, Timothy C. Elston
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

19 - One-dimensional interacting random walks in a random environment
pp 371-388
- By Klaus Ziegler
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part VII - Experimental Results
pp 389-390
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Page 1 of 2

First
« Prev
1
2
Next »
Last

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Nonequilibrium Statistical Mechanics in One Dimension

Book description

Reviews

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information