Loop Model with Generalized Fugacity in Three Dimensions
نویسنده
چکیده
A statistical model of loops on the three-dimensional lattice is proposed and is investigated. It is O(n)-type but has loop fugacity that depends on global three-dimensional shapes of loops in a particular fashion. It is shown that, despite this non-locality and the dimensionality, a layer-to-layer transfer matrix can be constructed as a product of local vertex weights for infinitely many points in the parameter space. Using this transfer matrix, the site entropy is estimated numerically in the fully packed limit. PACS: 05.20.-y 05.40.Fb 05.50.+q 36.20.-r
منابع مشابه
Hardware in Loop of a Generalized Predictive Controller for a Micro Grid DC System of Renewable Energy Sources
In this paper, a hardware in the loop simulation (HIL) is presented. This application is purposed as the first step before a real implementation of a Generalized Predictive Control (GPC) on a micro-grid system located at the Military University Campus in Cajica, Colombia. The designed GPC, looks for keep the battery bank State of Charge (SOC) over the 70% and under the 90%, what ensures the bes...
متن کاملar X iv : c on d - m at / 9 41 20 22 v 2 9 D ec 1 99 4 A Soluble Free - Fermion Model in d Dimensions
We consider a vertex model in d dimensions characterized by lines which run in a preferred direction. We show that this vertex model is soluble if the weights of vertices with intersecting lines are given by a free-fermion condition, and that a fugacity −1 is associated to each loop of lines. The solution is obtained by mapping the model into a dimer problem and by evaluating a Pfaffian. We als...
متن کاملNumerical study of self - avoiding loops on & dimensional hypercubic lattices
The loop gas in d = 2, 3 , 4 and 5 dimensions and with multiplicities m = 0, 1, 1.5, 2, 3 and 4 is investigated by the Monte Carlo method. The critical temperatures and approximate values for the critical exponent v corresponding to second-order phase transitions are obtained for d = 2 and 3. The statistical behaviour of self-avoiding loops, i.e. non-intersecting closed lines in thermal equilib...
متن کاملDesign of Generalized Predictive Control for the Stabilizing Loop from a two-axis Gimbal Seeker, Considering Cross-Coupling in Between two Channels
In this research, Generalized Predictivecontrol (GPC) is proposed for the control of a stabilizing loop from a two axis gimbal seeker. In fact, there are some views about using GPC type controller which are two folds. First, it drives the stabilization loops that are made by a DC motor, Rate Gyro, inertia and cross coupling unit in between two channels using the predictive model type controller...
متن کاملEffects of integrating physical and financial flows through a closed-loop supply chain network under uncertain demand and return
The impact of financial challenges on the profit of a supply chain, have caused the researcher to model the supply chain network by considering the operational and financial dimensions. Also, the establishment of a closed loop supply chain (CLSC) network has a high effect on economic profit. So, the purpose of this study is to design a stochastic closed loop supply chain network by considering ...
متن کاملذخیره 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 1999