Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?
نویسندگان
چکیده
منابع مشابه
The Susceptibility of the Square Lattice Ising Model: New Developments
We have made substantial advances in elucidating the properties of the susceptibility of the square lattice Ising model. We discuss its analyticity properties, certain closed form expressions for subsets of the coefficients, and give an algorithm of complexity O(N6) to determine its first N coefficients. As a result, we have generated and analyzed series with more than 300 terms in both the hig...
متن کاملMagnetic Properties in a Spin-1 Random Transverse Ising Model on Square Lattice
In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4), ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...
متن کاملVI.G Exact free energy of the Square Lattice Ising model
As indicated in eq.(VI.35), the Ising partition function is related to a sum S, over collections of paths on the lattice. The allowed graphs for a square lattice have 2 or 4 bonds per site. Each bond can appear only once in each graph, contributing a factor of t ≡ tanhK. While it is tempting to replace S with the exactly calculable sum S ′ , of all phantom loops of random walks on the lattice, ...
متن کاملinvestigating the feasibility of a proposed model for geometric design of deployable arch structures
deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach
abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...
15 صفحه اولذخیره 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: 2016
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/49/50/504002