Asymptotic Behavior of the Finite-Size Magnetization as a Function of the Speed of Approach to Criticality

نویسندگان

  • Richard S. Ellis
  • Jonathan Machta
چکیده

The main focus of this paper is to determine whether the thermodynamic magnetization is a physically relevant estimator of the finite-size magnetization. This is done by comparing the asymptotic behaviors of these two quantities along parameter sequences converging to either a second-order point or the tricritical point in the mean-field BlumeCapel model. We show that the thermodynamic magnetization and the finite-size magne-

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Refined Asymptotics of the Finite-Size Magnetization via a New Conditional Limit Theorem for the Spin

We study the fluctuations of the spin per site around the thermodynamic magnetization in the mean-field Blume-Capel model. Our main theorem generalizes the main result in a previous paper [12] in which the first rigorous confirmation of the statistical mechanical theory of finite-size scaling for a mean-field model is given. In that paper our goal is to determine whether the thermodynamic magne...

متن کامل

Asymptotic Distributions of Estimators of Eigenvalues and Eigenfunctions in Functional Data

Functional data analysis is a relatively new and rapidly growing area of statistics. This is partly due to technological advancements which have made it possible to generate new types of data that are in the form of curves. Because the data are functions, they lie in function spaces, which are of infinite dimension. To analyse functional data, one way, which is widely used, is to employ princip...

متن کامل

Determination of Criticality Indexes in the Remanufacturing Process: A GERT-based Simulation Approach

In this paper one of the important “end of life options” (remanufacturing) has been analysed. Among the related studies surveyed the various remanufacturing aspects, less attention has been paid to the stochastic process routing. In this regard, a remanufacturing process routing with stochastic activities is modelled as a GERT network. One of the efficient ways to analyse a remanufacturing proc...

متن کامل

تصحیحات اندازه‌ای کوانتمی در تابع کار و مرکز اثر بارهای اضافی در خوشه‌های فلزات ساده با بار مثبت

 In this work, we have shown the important role of the finite-size correction to the work function in predicting the correct position of the centroid of excess charge in positively charged simple metal clusters with different values . For this purpose, firstly we have calculated the self-consistent Kohn-Sham energies of neutral and singly-ionized clusters with sizes in the framework of local sp...

متن کامل

Chemical Synthesis of Nano-Crystalline Nickel-Zinc Ferrite as a Magnetic Pigment

The nano-crystalline nickel-zinc ferrite was prepared via chemical synthesis. Zinc nitrate, nickel nitrate, iron nitrate hydrate, citric acid and ethylene glycol were used as precursor materials. Crystallization behavior of the precursor was studied by X-ray diffraction (XRD). Nanoparticle phases can change amorphous to spinel ferrite depending on the calcination temperature and crystallite siz...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009