The dual model for an Ising model with nearest and next-nearest neighbors
نویسندگان
چکیده
منابع مشابه
Quantum fluctuations in the axial next-nearest-neighbor ising model.
We obtain the axial next-nearest-neighbor Ising model from a Heisenberg model with large single-ion anisotropy energy, D, as might be relevant for helical spin systems. We treat quantum fluctuations to lowest order in 1/S at zero temperature within an expansion in J/D, where J is an exchange energy. The transition from the state with periodicity p=4 to the uniform state (p=∞) occurs via a seque...
متن کاملDegree distribution and scaling in the Connecting Nearest Neighbors model
We present a detailed analysis of the connecting-nearest-neighbors model by Vázquez [Phys. Rev. E 67, 056104 (2003)]. We show that the degree distribution follows a power law, but the scaling exponent can vary with the parameter setting. Moreover, the correspondence of the growing version of the connecting-nearest-neighbors model to the particular random walk model and recursive search model is...
متن کاملPhase transitions in the two-dimensional superantiferromagnetic Ising model with next-nearest-neighbor interactions.
We use Monte Carlo and transfer matrix methods in combination with extrapolation schemes to determine the phase diagram of the two-dimensional superantiferromagnetic (SAF) Ising model with next-nearest-neighbor (NNN) interactions in a magnetic field. The interactions between nearest-neighbor (NN) spins are ferromagnetic along x, and antiferromagnetic along Y. We find that for sufficiently low t...
متن کاملInterface tension of the square lattice Ising model with next-nearest-neighbour interactions
In a recent letter, Zandvliet (Europhys. Lett., 73 (2006) 747) presented a simple derivation of an analytical expression for the interface free energy in the (10) direction of the Ising model on a square lattice with nearestand next-nearest-neighbour couplings, reproducing the famous exact Onsager formula in the special case of only nearest-neighbour interactions. By comparing the resulting tra...
متن کاملK-Nearest Neighbors Relevance Annotation Model for Distance Education
With the rapid development of Internet technologies, distance education has become a popular educational mode. In this paper, the authors propose an online image automatic annotation distance education system, which could effectively help children learn interrelations between image content and corresponding keywords. Image automatic annotation is a significant problem in image retrieval and ima...
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: Journal of Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/46/29/295003