The structure and dynamics of multilayer networks

Evolutionary games on graphs

The ${\mathrm{La}}_{1\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{MnO}}_{3}$ system with $02\ensuremath{\lesssim}x\ensuremath{\lesssim}04$ has traditionally been modeled with a ``double-exchange'' Hamiltonian in which it is assumed that the only relevant physics is the tendency of carrier hopping to line up neighboring spins We present a solution of the double-exchange model, show it is incompatible with many aspects of the data, and propose that in addition to double-exchange physics a strong electron-phonon interaction arising from the Jahn-Teller splitting of the outer Mn $d$ level plays a crucial role

Double exchange alone does not explain the resistivity of La1-xSrxMnO3.

This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtained approximate analytical solutions are valid for the whole solution domain. The limitations of traditional perturbation methods are illustrated, various modied perturbation techniques are proposed, and some mathematical tools such as variational theory, homotopy technology, and iteration technique are introduced to overcome the shortcomings. In this paper the following categories of asymptotic methods are emphasized: (1) variational approaches, (2) parameter-expanding methods, (3) parameterized perturbation method, (4) homotopy perturbation method (5) iteration perturbation method, and ancient Chinese methods. The emphasis of this article is put mainly on the developments in this eld in China so the references, therefore, are not exhaustive.

Some asymptotic methods for strongly nonlinear equations

We present a review of the basic ideas and techniques of the spectral density functional theory which are currently used in electronic structure calculations of strongly{correlated materials where the one{electron description breaks down. We illustrate the method with several examples where interactions play a dominant role: systems near metal{insulator transition, systems near volume collapse transition, and systems with local moments.

/pdf/electronic-structure-calculations-with-dynamical-mean-field-244tl5lhyg.pdf

Electronic structure calculations with dynamical mean-field theory

https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/85808/1/KJ00004746786.pdf

Time-Dependent Statistics of the Ising Model

A. H. Nayfeh and D. T. Mook: Nonlinear Oscillations, John Wiley, New York and Chichester, 1979, xiv+704ページ, 23.5×16.5cm, 10,150円.

The Quantum Transfer Matrix and Its Application to Quantum Spin Chains (K Kubo) Transfer Matrices in Quantum Many-Body Systems (T Koma) Monte Carlo Calculations of Elementary Excitation (M Takahashi) The Decoupled Cell Method of Quantum Monte Carlo Calculation (S Homma) Decoupled Cell Monte Carlo Study of the Critical Properties of the Spin-1/2 Ferromagnetic Heisenberg Model in Three Dimensions (R J Creswick & C J Sisson) Variational Monte Carlo Studies of Correlated Electrons (H Shiba) Quantum Monte Carlo Simulation of Multiband Fermion Systems and Its Application to Superconductivity (K Kuroki & H Aoki) Quantum Monte Carlo in the Infinite Dimensional Limit (M Jarrell et al) Aspects of the Sign Problem (J H Samson) Ground-State Projection Using Auxiliary Fields (S Fahy) Fermion Simulations of Correlated Systems (M Imada) Dirty Bosons in 2D: Phases and Phase Transitions (N Trivedi & M Makivi'c). (Part Contents).

Quantum Monte Carlo methods in condensed matter physics

O. G. Mouritsen: Computer Studies of Phase Transitions and Critical Phenomena, Springer-Verlag, Heidelberg, 1984, xii+200ページ, 24×16cm, 8,880円 (Springer Series in Computational Physics).

Overview cluster-variation power-series layered lattices spin glasses quantum percolation, random walk, SAW, DLA... stochastic processes.

増雄鈴木

Papers

Time-Dependent Statistics of the Ising Model

A. H. Nayfeh and D. T. Mook: Nonlinear Oscillations, John Wiley, New York and Chichester, 1979, xiv+704ページ, 23.5×16.5cm, 10,150円.

Quantum Monte Carlo methods in condensed matter physics

O. G. Mouritsen: Computer Studies of Phase Transitions and Critical Phenomena, Springer-Verlag, Heidelberg, 1984, xii+200ページ, 24×16cm, 8,880円 (Springer Series in Computational Physics).

Coherent anomaly method : mean field, fluctuations and systematics

増雄 鈴木

Papers

Time-Dependent Statistics of the Ising Model

A. H. Nayfeh and D. T. Mook: Nonlinear Oscillations, John Wiley, New York and Chichester, 1979, xiv+704ページ, 23.5×16.5cm, 10,150円.

Quantum Monte Carlo methods in condensed matter physics

O. G. Mouritsen: Computer Studies of Phase Transitions and Critical Phenomena, Springer-Verlag, Heidelberg, 1984, xii+200ページ, 24×16cm, 8,880円 (Springer Series in Computational Physics).

Coherent anomaly method : mean field, fluctuations and systematics

増雄鈴木