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Worm Algorithms for Classical Statistical Models
High temperature expansion, monte carlo simulation, dynamic critical
2014/12/22
We show that high-temperature expansions provide a basis for the novel approach to efficient Monte Carlo simulations. “Worm” algorithms utilize the idea of updating closed-path configurations (produce...
Bold diagrammatic Monte Carlo: A generic sign-problem tolerant technique for polaron models and possibly interacting many-body problems
Monte carlo feynman diagrams reforming particles breeding the particles
2014/12/20
We develop a Monte Carlo scheme for sampling series of Feynman diagrams for the proper self-energy, which are self-consistently expressed in terms of renormalized particle propagators. This approach i...
Subsonic phase transition waves in bistable lattice models with small spinodal region
phase transitions in lattices heteroclinic travelling waves FPU-type chains kinetic relations
2012/6/14
Phase transitions waves in atomic chains with double-well potential play a fundamental role in materials science, but very little is known about their mathematical properties. In particular, the only ...
Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
hierarchical models iteration of polynomial maps oscillatory critical amplitudes Harris random variable geometry of Julia set
2012/6/27
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to be hardly detectable....
Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
relativistic quantum physics reduced dimensionality Dirac Hamiltonians quasi-relativity in solids
2012/6/15
The most fundamental characteristics of a physical system can often be deduced from its behaviour under discrete symmetry transformations such as time reversal, parity and chirality. Here we review ba...
Self-similar transformations of lattice-Ising models at critical temperatures
Self-similar transformations lattice-Ising models critical temperatures General Physics
2012/5/29
We classify geometric blocks that serve as spin carriers into simple blocks and compound blocks by their topologic connectivity, define their fractal dimensions and describe the relevant transformatio...
Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter
Solvable K-essence Cosmologies Modified Chaplygin Gas Unified Models of Dark Energy Dark Matter
2012/4/20
This paper is devoted to the investigation of modified Chaplygin gas model in the context of solvable k-essence cosmologies. For this purpose, we construct equations of state parameter of this model f...
Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Sigma models Mathematical Physics Holomorphic solutions
2012/4/18
We present a general formula for the Gaussian curvature of curved holomorphic 2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such solutions with constant curvature. We also...
A Sequence of Relaxations Constraining Hidden Variable Models
Hidden Variable Models Relaxations
2011/9/13
Many widely studied graphical models with latent variables lead to nontrivial constraints on the distribution of the observed variables.Inspired by the Bell inequalities in quantum mechanics, we refer...
Hybrid classical integrability in squashed sigma models
hybrid classical integrability High Energy Physics - Theory Mathematical Physics
2011/10/9
Abstract: We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to dev...
Likelihood based observability analysis and confidence intervals for predictions of dynamic models
Likelihood observability analysis confidence intervals predictions Statistics and Probability
2011/8/1
Abstract: Mechanistic dynamic models of biochemical networks such as Ordinary Differential Equations (ODEs) contain unknown parameters like the reaction rate constants and the initial concentrations o...
First-order transition in Potts models with "invisible' states: Rigorous proofs
First-order transition Potts models Rigorous proofs
2011/7/28
Abstract: In some recent papers by Tamura, Tanaka and Kawashima [arXiv:1102.5475, arXiv:1012.4254], a class of Potts models with "invisible" states was introduced, for which the authors argued by nume...
Holonomy observables in Ponzano-Regge type state sum models
Holonomy observables Ponzano-Regge type state sum models group elements Chern-Simons theory
2011/7/29
Abstract: We study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to ...
W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p)
W-extended Kac representations integrable boundary conditions the logarithmic minimal models
2011/7/28
W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p).
Anderson-like Transition for a Class of Random Sparse Models in d{leg}2 Dimensions
Random Sparse Models Anderson-like Transition Functional Analysis
2011/7/26
Abstract: We show that the Kronecker sum of d{\leg}2 copies of a random one-dimensional sparse model displays a spectral transition of the type predicted by Anderson, from absolutely continuous around...