The Abelian Manna model on various lattices in one and two dimensions
نویسندگان
چکیده
منابع مشابه
Abelian Manna model on various lattices in one and two dimensions
We perform a high-accuracy moment analysis of the avalanche size, duration and area distribution of the Abelian Manna model on eight two-dimensional and four one-dimensional lattices. The results provide strong support to establish universality of exponents and moment ratios across different lattices and a good survey for the strength of corrections to scaling which are notorious in the Manna u...
متن کاملAbelian Manna model in three dimensions and below.
The Abelian Manna model of self-organized criticality is studied on various three-dimensional and fractal lattices. The exponents for avalanche size, duration, and area distribution of the model are obtained by using a high-accuracy moment analysis. Together with earlier results on lower-dimensional lattices, the present results reinforce the notion of universality below the upper critical dime...
متن کاملExplaining the Place Dignity Model and Studying Its Various Dimensions
Aims & Backgrounds: People interact with different places of the city as an environment that responds to their needs and activities, and at a higher level, they define and attach to their part of their dignity in relation to these places. The phrase "place dignity" is considered as one of the dimensions of people and place relationship which is less considered by architects, designers and plann...
متن کاملAbelian and non-abelian Hall liquids and charge-density wave: quantum number fractionalization in one and two dimensions.
Previously, we have demonstrated that, on a torus, the Abelian quantum Hall liquid is adiabatically connected to a charge-density wave as the smaller dimension of the torus is varied. In this work, we extend this result to the non-Abelian bosonic Hall state. The outcome of these works is the realization that the paradigms of quantum number fractionalization in one dimension (polyacetylene) and ...
متن کاملAbelian versus Non-Abelian Higgs Model in Three Dimensions
We study the phase structure of the abelian Higgs model in three dimensions based on perturbation theory and a set of gauge independent gap equations for Higgs boson and vector boson masses. Contrary to the non-abelian Higgs model, the vector boson mass vanishes in the symmetric phase. In the Higgs phase the gap equations yield masses consistent with perturbation theory. The phase transition is...
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 Statistical Mechanics: Theory and Experiment
سال: 2011
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2011/09/p09024