Relations between short-range and long-range Ising models
نویسندگان
چکیده
منابع مشابه
Ising models with long-range antiferromagnetic and short-range ferromagnetic interactions
We study the ground state of a d–dimensional Ising model with both long range (dipole–like) and nearest neighbor ferromagnetic (FM) interactions. The long range interaction is equal to r−p, p > d, while the FM interaction has strength J . If p > d+1 and J is large enough the ground state is FM, while if d < p ≤ d + 1 the FM state is not the ground state for any choice of J . In d = 1 we show th...
متن کاملOne-dimensional Ising model with long-range and random short-range interactions
The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by Paladin et al. (J. Phys. I France 4, 1994, p. 1597). Exact results are obtained for the thermodynamic functions at arbitrary temperatures, and special attention ...
متن کاملShort Range and Long Range Dependence
In this section a discussion of the evolution of a notion of strong mixing as a measure of short range dependence and with additional restrictions a sufficient condition for a central limit theorem, is given. In the next section I will give a characterization of strong mixing for stationary Gaussian sequences. In Sect. 3 I will give a discussion of processes subordinated to Gaussian processes a...
متن کاملScaling relations, virial theorem, and energy densities for long-range and short-range density functionals
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کاملShort-range Ising Spin Glass: Multifractal Properties
The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin glass model on d = 3 diamond hierarchical lattices is studied via an exact recursion procedure. The profiles of the local order parameter are calculated and analysed within a range of temperatures close to the critical point with four symmetric distributions of the coupling constants (Gaussian, Bim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2014
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.89.062120