4,550 research outputs found

    Crossover Behavior from Decoupled Criticality

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    We study the thermodynamic phase transition of a spin Hamiltonian comprising two 3D magnetic sublattices. Each sublattice contains XY spins coupled by the usual bilinear exchange, while spins in different sublattices only interact via biquadratic exchange. This Hamiltonian is an effective model for XY magnets on certain frustrated lattices such as body centered tetragonal. By performing a cluster Monte Carlo simulation, we investigate the crossover from the 3D-XY fixed point (decoupled sublattices) and find a systematic flow toward a first-order transition without a separatrix or a new fixed point. This strongly suggests that the correct asymptotic behavior is a first-order transition.Comment: 10 pages, 3 figures; added reference

    Monte Carlo Simulation of the Three-dimensional Ising Spin Glass

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    We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation procedure, Monte Carlo data are extrapolated to infinite volume up to correlation length \xi = 140. The infinite volume data are consistent with both a continuous phase transition at finite temperature and an essential singularity at finite temperature. An essential singularity at zero temperature is excluded.Comment: 5 pages, 6 figures. Proceedings of the Workshop "Computer Simulation Studies in Condensed Matter Physics XII", Eds. D.P. Landau, S.P. Lewis, and H.B. Schuettler, (Springer Verlag, Heidelberg, Berlin, 1999

    Dual Monte Carlo and Cluster Algorithms

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    We discuss the development of cluster algorithms from the viewpoint of probability theory and not from the usual viewpoint of a particular model. By using the perspective of probability theory, we detail the nature of a cluster algorithm, make explicit the assumptions embodied in all clusters of which we are aware, and define the construction of free cluster algorithms. We also illustrate these procedures by rederiving the Swendsen-Wang algorithm, presenting the details of the loop algorithm for a worldline simulation of a quantum S=S= 1/2 model, and proposing a free cluster version of the Swendsen-Wang replica method for the random Ising model. How the principle of maximum entropy might be used to aid the construction of cluster algorithms is also discussed.Comment: 25 pages, 4 figures, to appear in Phys.Rev.

    Introduction:film policy in a globalised cultural economy

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    This special issue on ‘Film Policy in a Globalised Cultural Economy’ is devoted to the changing economic and technological context in which filmmaking occurs, the policy responses that these changes have generated and their consequences for the pursuit of cultural objectives. The issue offers discussions of the general economic, technological and political shifts shaping the global film industry as well as case-studies examining the specific policies adopted by different states. While these indicate how governments have been obliged to respond to the economic and technological changes wrought by globalisation they also highlight the variations in approach to film policy and the continuation of tensions between economic and cultural, and public and private, objectives

    Global classical solutions for partially dissipative hyperbolic system of balance laws

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    This work is concerned with (NN-component) hyperbolic system of balance laws in arbitrary space dimensions. Under entropy dissipative assumption and the Shizuta-Kawashima algebraic condition, a general theory on the well-posedness of classical solutions in the framework of Chemin-Lerner's spaces with critical regularity is established. To do this, we first explore the functional space theory and develop an elementary fact that indicates the relation between homogeneous and inhomogeneous Chemin-Lerner's spaces. Then this fact allows to prove the local well-posedness for general data and global well-posedness for small data by using the Fourier frequency-localization argument. Finally, we apply the new existence theory to a specific fluid model-the compressible Euler equations with damping, and obtain the corresponding results in critical spaces.Comment: 39 page

    Poverty Mapping and Poverty Analysis in Indonesia

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    IndonesianTulisan ini menganalisis data-data kemiskinan di Indonesia di tingkat kabupaten dan kota. Pertama, peta kemiskinan dibuat dalam pembagian kabupaten atau kota untuk memberikan gambaran visual tentang kemiskinan. Kedua, menguji hubungan antara kemiskinan berdasarkan konsumsi dan kemiskinan berdasarkan ketidakmampuan memenuhi kebutuhan dasar hidup dengan analisis regresi menggunakan prinsip analisis komponen. Pendekatan ini memperjelas pengaruh tersedianya kebutuhan dasar hidup dan karakteristik kemiskinan lainnya terhadap kemiskinan berdasarkan konsumsi. Persentase penduduk yang berada di bawah garis kemiskinan, Indeks Kedalaman Kemiskinan, dan Indeks Keparahan Kemiskinan tersebar di seluruh kabupaten dan kota, menunjukkan kecenderungan indeks kemiskinan yang lebih tinggi dan lebih parah di pulau-pulau timur Indonesia dibandingkan daerah lainnya. Tidak hanya pengeluaran untuk makanan, tapi kebutuhan dasar hidup dan sektor kerja juga sangat berhubungan dengan kemiskinan berdasarkan konsumsi. Ketersediaan kamar kecil, akses ke air bersih dan pelayanan kesehatan umum dan pendidikan, yang sering diukur sebagai dimensi kemiskinan berdasarkan ketidakmampuan memenuhi kebutuhan dasar hidup, sangat mempengaruhi kemiskinan berdasarkan konsumsi. Untuk mengurangi tingkat keparahan kemiskinan, akses terhadap air bersih paling penting diantara faktor-faktor dalam kesehatan umum. Faktor pendidikan juga berkaitan dengan Indeks Keparahan Kemiskinan; kelulusan dari sekolah dasar dan sekolah lanjutan tingkat atas berbanding terbalik dengan keparahan kemiskinan dan lebih berpengaruh daripada pengeluaran untuk makanan.EnglishThis paper analyzes poverty-related data in Indonesia at regency and city level. First, poverty mapping is carried out at disaggregated levels by regency or city to visually identify the prevalence of poverty. Second, the relationship between consumption-based poverty and capability-based poverty is examined using principal component regression. This approach clarifies the influence of basic needs availability and other poverty characteristics on consumption-based poverty. Poverty rate, poverty gap and severity poverty are scattered in all regencies and cities, showing the tendency that poverty indices are higher and more severe in eastern islands of the country compared to other regions. In addition to food expenditure, the basic needs and working sector are closely related to consumption-based poverty. The toilet availability, access to safe water and public health services and education, often measured as the dimensions of capability based poverty, are very important to have bearing on consumption-based poverty. To reduce severity of poverty, safe water access is especially the most important factor among other public health variables. Severity poverty also turns out to be correlated with education variables. Completion of elementary and higher education is negatively correlated with severity poverty and more important than food expenditures

    Generalization of the Fortuin-Kasteleyn transformation and its application to quantum spin simulations,

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    We generalize the Fortuin-Kasteleyn (FK) cluster representation of the partition function of the Ising model to represent the partition function of quantum spin models with an arbitrary spin magnitude in arbitrary dimensions. This generalized representation enables us to develop a new cluster algorithm for the simulation of quantum spin systems by the worldline Monte Carlo method. Because the Swendsen-Wang algorithm is based on the FK representation, the new cluster algorithm naturally includes it as a special case. As well as the general description of the new representation, we present an illustration of our new algorithm for some special interesting cases: the Ising model, the antiferromagnetic Heisenberg model with S=1S=1, and a general Heisenberg model. The new algorithm is applicable to models with any range of the exchange interaction, any lattice geometry, and any dimensions.Comment: 46 pages, 10 figures, to appear in J.Stat.Phy

    Energetics and geometry of excitations in random systems

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    Methods for studying droplets in models with quenched disorder are critically examined. Low energy excitations in two dimensional models are investigated by finding minimal energy interior excitations and by computing the effect of bulk perturbations. The numerical data support the assumptions of compact droplets and a single exponent for droplet energy scaling. Analytic calculations show how strong corrections to power laws can result when samples and droplets are averaged over. Such corrections can explain apparent discrepancies in several previous numerical results for spin glasses.Comment: 4 pages, eps files include

    On the Use of Finite-Size Scaling to Measure Spin-Glass Exponents

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    Finite-size scaling (FSS) is a standard technique for measuring scaling exponents in spin glasses. Here we present a critique of this approach, emphasizing the need for all length scales to be large compared to microscopic scales. In particular we show that the replacement, in FSS analyses, of the correlation length by its asymptotic scaling form can lead to apparently good scaling collapses with the wrong values of the scaling exponents.Comment: RevTeX, 5 page
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