3 edition of **Group analysis of classical lattice systems** found in the catalog.

Group analysis of classical lattice systems

Christian Gruber

- 305 Want to read
- 25 Currently reading

Published
**1976**
by Springer-Verlag in Berlin, New York
.

Written in English

- Lattice theory.,
- Groups, Theory of.

**Edition Notes**

Statement | C. Gruber, A. Hintermann, and D. Merlini. |

Series | Lecture notes in physics -- 60 |

Contributions | Hintermann, A., Merlini, D. |

Classifications | |
---|---|

LC Classifications | QC174.85.L38 |

ID Numbers | |

Open Library | OL21338532M |

ISBN 10 | 0387081372 |

Low-temperature equilibrium states of ferromagnetic lattice systems Article (PDF Available) in Journal of Physics A General Physics 21(7) Author: Jacek Miekisz. Group Analysis of Classical Lattice Systems. [C Gruber; A Hintermann; D Merlini] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create # Springer e-books.

Hence the book was written to explain and illustrate in all necessary detail how to: 1) describe the space group symmetry in terms of space group symmetry operations; 2) obtain irreducible representations and selection rules for optical infra-red and Format: Paperback. A First Course in Design and Analysis of Experiments Gary W. Oehlert University of Minnesota.

The tensor renormalization group (TRG) is a powerful new approach for coarse-graining classical two-dimensional (2D) lattice Hamiltonians. It uses the intuitive framework of traditional position space renormalization group methods–analyzing flows in the space of Hamiltonian parameters–but can be systematically improved to yield thermodynamic properties at much Author: Can Güven, Michael Hinczewski. I am a professor in the Computer Science & Engineering department at the University of California, San Diego.I am a member of the Cryptography and Security group and the Theory of Computation group. My research interests include: Algorithms, Complexity and cryptographic applications of lattice and coding problems; Symbolic analysis of cryptographic protocols .

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The partial trace transformation. Equation for the correlation functions and representation of the symmetry group. Pages Equation for the correlation functions and representation of the symmetry group Pages Invariant equilibrium states and duality transformation for infinite systems.

Equation for the correlation functions and representation of the symmetry group.- Invariant equilibrium states and duality transformation for infinite systems.- Asano contraction and group structure.

Abstract Citations (24) References Co-Reads Metrics Export Citation NASA/ADS. Group Analysis of Classical Lattice Systems Gruber, C.; Hintermann, A.; Merlini, by: The group structure associated with lattice systems without constraints is extended to systems with constraints and some of its physical consequences are investigated.

In particular low- and high-temperature expansions, equilibrium equations and duality transformations are analyzed within this framework. It is shown that a large class of systems with constraints whose.

Physica 83A () North-Holland Publishing Co. GROUP STRUCTURE ANALYSIS FOR CLASSICAL LATTICE SYSTEMS WITH CONSTRAINTS I. GENERAL PROPERTIES C. GRUBER and A. HINTERMANN Laboratoire de Physique Thrique, Ecole Polytechnique Fale, Lausanne, Switzerland Received 8 August The group structure associated with lattice systems without constraints is extended to systems Cited by: 2.

Group structure analysis for classical lattice systems with constraints: II. Zeroes of the partition function and unicity of states Zeroes of the partition function and unicity of states Author links open overlay panel A.

Hintermann ǂ C. GruberCited by: 4. Abstract The Asano-Ruelle method is used to discuss the zeroes of the partition function of arbitrary lattice systems with constraints. The group structure associated with these systems yields necessary and sufficient conditions to build up the partition function by Asano contractions.

Abstract. We equip lattice systems of arbitrary spin with group structures. Harmonic analysis is used to derive low and high temperature expansions of the partition function as well as duality relations among different models.

The Asano contraction is formulated without using the Griffiths transformation into an equivalent spin 1/2 by: 2. Thermodynamical Aspects of Classical Lattice Systems. Abstract. The main theme of the lectures is large deviations theory using ideas of Statistical Mechanics. A large deviations principle for empirical measures is obtained for a large class of random fields, called asymptotically decoupled by: Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the main subject of the : Boris Zhilinskii.

Genre/Form: Electronic books: Additional Physical Format: Print version:Gruber, C. (Christian), Group analysis of classical lattice systems. Berlin ; New York. Group structure analysis for classical lattice systems Merlini, Danilo; Gruber, Christian. Advisor(s):Cited by: 1. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Cited by: Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models.

The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. Cite this chapter as: () Spin 1 lattice systems. In: Gruber C., Hintermann A., Merlini D. (eds) Group Analysis of Classical Lattice Systems.

Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: Danilo Merlini. Definitions and group structure for systems with constraints.- Expansions for the partition function.- Partial trace method and equilibrium equations.- Duality transformation restricted to finite bonds.- Asano contractions and unicity of state.- General framework of higher spin systems.- Physical implications of the group structure We consider systems of spins on the d-dimensional lattice with values in a general space.

First we make a careful analysis of the relations of the large deviations principle to a variational as. Multiple-scale analysis of dynamical systems on the lattice Article in Journal of Mathematical Analysis and Applications April with 24 Reads How we measure 'reads'.

these authors now have their names attached to components of the theory of lattice dynamics. After this starting point very little happened in the ﬁeld until the ’s. 3 This was mostly due to the difﬁculty in applying the theory to real systems, and in the lack of experimental by: 6.A complete thermodynamic analysis of the classical 2-parameter lattice-hole model of liquids is presented.

To our knowledge, no such analysis was available before. It is shown that the model depicts a van der Waals like behavior. The calculated phase diagram features a coexistence line between a condensed and a gas phases ending at a critical Author: P.

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