This book provides a mathematically rigorous introduction of the
Witten Laplacian methods in Statistical Mechanics. The method
provides a new point of view, based on PDE techniques, to approach
the problem of computing and estimating thermodynamic functions in
classical continuous spin models. The method can be thought as a
stronger and more flexible version of the Brascamp-Lieb
inequalities and is based on an exact representation of the
thermodynamic functions in terms of solutions to a second order
partial differential equation, involving a deformation of the
standard Laplace-Beltrami operator. The formula was initially
introduced by Bernard Helffer and Johanne Sjstrand. The book also
provides a complete discussion of the L2-Theory for the Witten
Laplacian equations on zero and one forms. A detailed proof of the
exponential decay of the n-point correlation functions is given,
along with a new formula suitable for a direct proof of the
analyticity of the pressure for certain unbounded models in
Statistical Mechanics and Euclidean Field theory.
General
| Imprint: |
VDM Verlag Dr. Mueller E.K.
|
| Country of origin: |
Germany |
| Release date: |
September 2008 |
| First published: |
September 2008 |
| Authors: |
Lo Assane
|
| Dimensions: |
229 x 152 x 6mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
108 |
| ISBN-13: |
978-3-639-05658-7 |
| Barcode: |
9783639056587 |
| Categories: |
Promotions
Books
|
| LSN: |
3-639-05658-2 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
