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Density-matrix renormalization-group study ofS=1/2 Heisenberg spin chains: Friedel oscillations and marginal system-size effects

Tai-Kai Ng, Shaojin Qin, Zhao-Bin Su
1996 Physical Review B (Condensed Matter)  
The chain length dependence of the ground state and several low-energy excited state energies are compared with conformal field theory results.  ...  Based on the systematic comparison the reliability of the DMRG method will be discussed. II.  ...  II we shall give a brief review of bosonization theory of an Sϭ1/2 spin chain under open boundary conditions ͑OBC's͒ where predictions of the theory on the spin-spin correlation function, magnetization  ... 
doi:10.1103/physrevb.54.9854 pmid:9984720 fatcat:uhlmpmucgbdvtgrtg7qg2z7vki

Multi Scale Spin Glass Based Portfolio Selection

Majid Vafaei Jahan
2012 Advances in Computing  
Based on this theory, the best condition of scaling occurs in the phase transition condition at the critical temperatures of material.  ...  The new achievements in this field show that most systems cannot be scaled at any condition. Regardless to this property of the system, Kadanoff's theory shows a necessary condition of scaling.  ...  Based on Kadanoff's theory, the best condition of scaling is in phase transition condition at critical temperature of material.  ... 
doi:10.5923/j.ac.20120201.02 fatcat:o2l5vorqjff6nk3kfb7wmv2etq

Molecular-orbital-free algorithm for excited states in time-dependent perturbation theory

Melissa J. Lucero, Anders M. N. Niklasson, Sergei Tretiak, Matt Challacombe
2008 Journal of Chemical Physics  
The algorithm is extensible to other forms of time-dependent perturbation theory including, but not limited to, time-dependent Density Functional theory.  ...  The feasibility of an RPA implementation scaling linearly with system size, N, is investigated by monitoring convergence behavior with respect to the quality of initial guess and sensitivity to noise under  ...  To study convergence and other properties, we generated test systems using a linear arrangement of fourteen hydrogen atoms.  ... 
doi:10.1063/1.2965535 pmid:18715058 fatcat:5i7h5aizmjfnni5mciw7wywxle

Sard's method and the theory of spline systems

Franz-Jürgen Delvos, Walter Schempp
1975 Journal of Approximation Theory  
On the other hand the authors have introduced in [6], [7] the concept of spline system to obtain the principal "intrinsic" properties of the classical spline theory from a purely functional analytic point  ...  Section 3 studies some convergence properties of spline approximations which are constructed by means of spline systems. Finally, Section 4 collects some additional remarks.  ...  Section 3 studies some convergence properties of spline approximations which are constructed by means of spline systems. Finally, Section 4 collects some additional remarks.  ... 
doi:10.1016/0021-9045(75)90059-3 fatcat:z4hk7e36ardyfmmfqkwxl5676q

Mathematical Approaches in Advanced Control Theories

Baocang Ding, Lihua Xie, Weihai Zhang, Xianxia Zhang, Qiang Ling, Yugeng Xi
2012 Journal of Applied Mathematics  
Han et al. study the convergence of the Gaussian mixture extended-target probability hypothesis density filter and its extended Kalman filtering approximation in mildly nonlinear condition.  ...  The estimation of ground subsidence processes is an important subject for the asset management of civil infrastructures on soft ground, such as airport facilities.  ... 
doi:10.1155/2012/984296 fatcat:xommhyimknf2nekfqcda6r4k6e

Perturbation theory for spin ladders using angular-momentum coupled bases

J. Piekarewicz, J. R. Shepard
1998 Physical Review B (Condensed Matter)  
We compute bulk properties of Heisenberg spin-1/2 ladders using Rayleigh-Schrödinger perturbation theory in the rung and plaquette bases.  ...  the radius of convergence of the perturbative expansion.  ...  We also thank Markus Laukamp for making available the DMRG results. This work was supported by the DOE under Contracts Nos. DE-FC05-85ER250000, DE-FG05-92ER40750 and DE-FG03-93ER40774.  ... 
doi:10.1103/physrevb.58.9326 fatcat:3vjows2u5fd4bjduhqhs3b6due

An Adaptation of Grounded Theory Using a Modified Convergent Interviewing Technique

Elica Safari Mehr, Peter Carswell, Karen Day
2018 The Qualitative Report  
However, there is a lack of enough information on the variation of GT used, or their epistemological assumptions in some studies.  ...  Grounded Theory (GT) researchers have been using adaptations of this methodology to serve theory building purposes, following different theoretical frameworks.  ...  Conclusion In this article, I have responded to the need for paying respect to Grounded Theory by making explicit a description of the GT theoretical framework and the adaptation of convergent interviewing  ... 
doi:10.46743/2160-3715/2018.3302 fatcat:j4ubklzgpnhbvhjcdeswa555te

Fixed-Point Theory, Variational Inequalities, and Its Approximation Algorithms

Giuseppe Marino, Vittorio Colao, Yonghong Yao, Genaro López, Enrique Llorens-Fuster
2011 International Journal of Mathematics and Mathematical Sciences  
As of today, this remains one of the most active fields in mathematics, and its ground of application varies from game theory, economics, engineering, and natural sciences, among others.  ...  G. de Buen made a comparative study of certain geometric properties of a generic Banach space with basis, endowed with its standard norm as well as with an equivalent norm, similar to the one studied by  ...  Acknowledgments The editors would like to thank the authors for their interesting contributions, as well as the Staff and the Editorial Office of the journal for their valuable support.  ... 
doi:10.1155/2011/182024 fatcat:yi24zmonb5c3plzrjcwzn3jjvq

YAPA

Mathieu Baudet, Véronique Cortier, Stéphanie Delaune
2013 ACM Transactions on Computational Logic  
In the framework of the applied pi calculus, as in similar languages based on equational logics, knowledge is typically expressed by two relations: deducibility and static equivalence.  ...  We show that our algorithm covers all the existing decision procedures for convergent theories. We also provide an efficient implementation, and compare it briefly with the more general tool ProVerif.  ...  In this section, we study different conditions on the rewrite system R so that failure never happens and/or termination is ensured.  ... 
doi:10.1145/2422085.2422089 fatcat:yikjayndezcozdtt4kx6ngyvam

YAPA: A Generic Tool for Computing Intruder Knowledge [chapter]

Mathieu Baudet, Véronique Cortier, Stéphanie Delaune
2009 Lecture Notes in Computer Science  
In the framework of the applied pi calculus, as in similar languages based on equational logics, knowledge is typically expressed by two relations: deducibility and static equivalence.  ...  We show that our algorithm covers all the existing decision procedures for convergent theories. We also provide an efficient implementation, and compare it briefly with the more general tool ProVerif.  ...  In this section, we study different conditions on the rewrite system R so that failure never happens and/or termination is ensured.  ... 
doi:10.1007/978-3-642-02348-4_11 fatcat:ne4dzlf5e5dttj257ifoqrsnfy

Computations of the Ground State Cohesive Properties Of Alas Crystalline Structure Using Fhi-Aims Code

G.S.M. Galadanci
2013 IOSR Journal of Applied Physics  
In the FHI-aims code we study different phases of AlAs crystalline structure and the ground state cohesive properties of the most stable structure of AlAs was computed within GGA and LDA of the density-functional  ...  A density functional theory codes FHI-aims is used to investigate the material properties of AlAs bulk crystalline structures.  ...  Note that in practice convergence must be achieved first in order to avoid false conclusions. We will now compute the basic cohesive properties and study the pressure dependence of phase stability.  ... 
doi:10.9790/4861-0458595 fatcat:zgkvrap52bd3tpeplwnorv5xhu

A Simplified Method for Predicting Tunneling-Induced Ground Movement considering Nonuniform Deformation Boundary

Xuepeng Zhang, Yujing Jiang, Yue Cai, Xin Li, Naser Golsanami, Xiao Wang, Jian Hao, Ningbo Li, Fabo Wu, Xiaohan Wang, Shan Gao
2022 Shock and Vibration  
A simplified analytical solution based on the SM theory is developed to predict the ground movement in tunneling excavation.  ...  The comparison of five tunnels in literature illustrates that the simplified method can provide a more reasonable prediction for the ground movement induced by tunneling.  ...  Conclusions Comparing to the general approaches based on the stochastic medium theory, this study takes a simplified way to predict the tunneling-induced ground movement. e condition for this simplified  ... 
doi:10.1155/2022/6289303 fatcat:4ts7p3x7infglalajlcjfj5n2u

Automated Mathematical Induction

ADEL BOUHOULA, EMMANUEL KOUNALIS, MICHAËL RUSINOWITCH
1995 Journal of Logic and Computation  
However it retains their positive features, namely, the completeness of the former and the robustness of the latter. It has been implemented in the theorem-prover SPIKE 1 .  ...  We present a new method to prove (and disprove) automatically inductive properties. Given a set of axioms, a well-suited induction scheme is constructed automatically.  ...  inconsistent: If the given theory is a (ground) convergent set of conditional rules Disproof allows one to detect many false conjectures.  ... 
doi:10.1093/logcom/5.5.631 fatcat:4z7dvzo74zflfduyzs5grwceka

The ferromagnetic transition and domain structure in LiHoF4

A. Biltmo, P. Henelius
2009 Europhysics letters  
We predict that the ground-state domain structure for cylinders with a demagnetization factor N>0 consists of thin parallel sheets of opposite magnetization, with a width depending on the demagnetization  ...  group theory.  ...  The use of effective theories is one of the primary modus operandi of modern physics.  ... 
doi:10.1209/0295-5075/87/27007 fatcat:k6wnz4ewovfprol47xegd5odsu

Non-Bayesian Social Learning with Uncertain Models [article]

James Z. Hare and Cesar A. Uribe and Lance Kaplan and Ali Jadbabaie
2019 arXiv   pre-print
We characterize how well the hypotheses can be tested on a social network, as consistent or not with the state of the world.  ...  Moreover, as the amount of prior evidence goes to infinity, learning occurs and is consistent with traditional social learning theory.  ...  We study the convergence properties of the proposed method for two standard social aggregating rules, log-linear [2] and DeGroot [1] .  ... 
arXiv:1909.09228v2 fatcat:vosmtfzqmrhxvdhsfo4rx3acy4
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