# Critical Behaviour Of Quantum Compressible Ising Models

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### 2 Ising arXiv:1109.4722v1 [cond-mat.stat-mech] 22 Sep 2011

relationship between the critical behaviour and speciﬁc contraints laid on compressible spin systems especially with the help of exactly tractable spin models. In the present Letter, we will introduce a new class of exactly soluble Ising models on decorated planar lattices (see Ref. [21] and refernces cited therein) in which atoms

### REQUIREMENTS FOR STATE EXAM MATHEMATICAL AND COMPUTATIONAL

quantum systems (two questions), relativistic physics(two questions), particle physics (two questions). Answering one question is expected to take ten minutes. The student is expected to demonstrate deeper insight into the discussed topics and the ability to see the subject matter in a broad context. (The student is not expected to give extreme

### PRGHOLQDWUDQVYHUVHILHOG - Institute of Physics

Critical behaviour of quantum compressible Ising models B K Chakrabarti and G A Gehring-The critical properties of ferrodistortive spin-phonon systems G A Gehring and M C Marques-Recent citations Two-time Greenâs function treatment of field-induced quantum criticality of a d-dimensional easy-plane ferromagnet with longitudinal uniform interactions

### AMSI Summer School

emergent behaviour of large collections of interacting particles, using a probabilistic approach. This course focused on discrete models in statistical mechanics, in which the systems are defined on regular lattices. The main interest in these models stems from the fact that they display critical phenomena: macroscopic properties of the models

### Table of Contents

Critical point p. 60 Classifications of phase transitions p. 63 Compressible systems p. 66 Phase separation in mixtures p. 73 Other systems p. 80 Advantages and disadvantages of the thermodynamic theory p. 95 Landau Expansion p. 98 Introductory remarks p. 98 Appropriate variables p. 99 Generalized Gibbs potential p. 101 Landau potential p. 106

### Critical, statistical, and thermodynamical properties of

Critical, statistical, and thermodynamical properties of lattice models Dissertation zur Erlangung des Doktorgrades (Dr. rer. nat.) der Mathematisch-Naturwissenschaftlichen Fakultät der Rheinischen Friedrich-Wilhelms-Universität Bonn von Vipin Kerala Varma aus Cochin, India Bonn, 2013

### Survey of multi-loop calculations in stochastic dynamics and

Motivation - static critical phenomena phase transition liquid ,vapour presence of divergences 2D Ising model for T = Tcfractal-like behaviour Relevant concepts: order parameter, symmetry, spatial dimension, correlation length ˘diverges as ˝ , ˝= (T Tc)=Tcis a control parameter Amit & Victor-Mayor 05

### Applied thermodynamics of fluids

2.11 Stability and the Critical State 28 2.11.1 Densities andFields 28 2.11.2 Stability 28 2.11.3 Critical State 29 References 32 Chapter 3 The Virial EquationofState 33 /. P. Martin Truster 3.1 Introduction 33 3.1.1 TemperatureDependence ofthe Virial Coefficients 34 3.1.2 Composition Dependence of the Virial Coefficients 35 3.1.3 Convergence

### B.E. (Hons.) (Chemical Engineering) - BITS Pilani

Introduction to process control, Theoretical models of chemical process, Laplace Transforms, Transfer functions and state space models, Dynamic response of first and second order processes, Effect of dead time, Dynamics response of more complicated systems, Development of empirical models from empirical

### homepage.univie.ac.at

Contents Contents v A Personal Preface vii List of Included Papers ix 1 Introduction 1 1.1 A short and biased history of phase transitions 1 1.1.1

### Accurate determination of the superﬂuid-insulator transition

[6], spin models [7] or novel quantum magnets [8] - for a review, see [9] - the most basic model realized in such a setting is the Bose-Hubbard model (BHM) [10], which still deﬁes an exact analytical description while exhibit-ing a nontrivial quantum phase transition [11] between a superﬂuid state and an insulator. Experiments, both

### Critical behaviour of compressible dilute Ising systems

May 29, 2020 Critical behaviour of compressible dilute Ising systems To cite this article: B K Chakrabarti 1980 J. Phys. C: Solid State Phys. 13 4505 View the article online for updates and enhancements. Related content Critical behaviour of quantum compressible Ising models B K Chakrabarti and G A Gehring-Critical behaviour of impure Ising-Mattis model

### DYNAMICS, EQUATIONS AND APPLICATIONS BOOK OF ABSTRACTS

LIMITS OF CRITICAL ISING AND 4 MODELS IN 4D Hugo Duminil-Copin IHÉS, ranceF & University of Geneva, Switzerland Joint work with Michael Aizenman The question of constructing a non-Gaussian eld theory, i.e. a eld with non-zero Ursell functions, is at the heart of Euclidean (quantum) eld theory. While non-triviality results in