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We propose a hypergraph expansion which facilitates the direct treatment of quantum spin models with many-site interactions via perturbative linked cluster expansions. The main idea is to generate all relevant subclusters and sort them into…

Strongly Correlated Electrons · Physics 2022-06-22 M. Mühlhauser , K. P. Schmidt

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

Statistical Mechanics · Physics 2013-04-17 Christopher J. Fullerton , M. A. Moore

We present a new approach to clustering, based on the physical properties of an inhomogeneous ferromagnet. No assumption is made regarding the underlying distribution of the data. We assign a Potts spin to each data point and introduce an…

Disordered Systems and Neural Networks · Physics 2008-02-03 Marcelo Blatt , Shai Wiseman , Eytan Domany

Parametric density estimation, for example as Gaussian distribution, is the base of the field of statistics. Machine learning requires inexpensive estimation of much more complex densities, and the basic approach is relatively costly…

Machine Learning · Computer Science 2017-02-21 Jarek Duda

Results of a study of the theoretically predicted and observed X-ray properties of local massive star clusters are presented, with a focus on understanding the mass and energy flow from these clusters into the ISM via a cluster wind. A…

Astrophysics · Physics 2009-11-07 Ian R. Stevens , Joanna M. Hartwell

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

We consider two models with disorder dominated critical points and study the distribution of clusters which are confined in strips and touch one or both boundaries. For the classical random bond Potts model in the large-q limit we study…

Statistical Mechanics · Physics 2010-08-09 M. Karsai , I. A. Kovacs , J-Ch. Angles d'Auriac , F. Igloi

Isotopic fluctuations in fragment formation are investigated in a quasi-analytical description of the spinodal decomposition scenario. By exploiting the fluctuation-dissipation relations the covariance matrix of density fluctuations is…

Nuclear Theory · Physics 2008-11-26 M. Colonna , F. Matera

The thermodynamical property of a small cluster including $M$ Hubbard dimers, each of which is described by the two-site Hubbard model, has been discussed within the nonextensive statistics (NES). We have calculated the temperature…

Statistical Mechanics · Physics 2009-11-11 Hideo Hasegawa

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra

We develop a low energy effective field theory of a mixture of two species of pseudospin-1/2 atoms with interspecies spin-exchange, in addition to density-density interaction. This approach is beyond the single orbital-mode approximation.…

Quantum Gases · Physics 2013-03-01 Li Ge , Yu Shi

Upcoming Sunyaev-Zel'dovich surveys are expected to return ~10^4 intermediate mass clusters at high redshift. Their average masses must be known to same accuracy as desired for the dark energy properties. Internal to the surveys, the CMB…

Astrophysics · Physics 2011-05-12 Wayne Hu , Simon DeDeo , Chris Vale

We present a theoretical model which aims at predicting the clustering properties of X-ray clusters in flux-limited surveys for different cosmological scenarios. The model uses the theoretical and empirical relations between mass,…

Through applying Bell polynomials to the integral representation of the free energy of the Ising model for the triangular and hexagonal lattices we obtain the exact combinatorial formulas for the number of spin configurations at a given…

Mathematical Physics · Physics 2020-08-03 Grzegorz Siudem , Agata Fronczak

We propose a simple model for periodic clustering of particles under forced oscillation. Effective viscosity is assumed to increase owing to neighboring particles by analogy with the Einstein viscosity law. The linear stability analysis and…

Pattern Formation and Solitons · Physics 2026-02-12 Hidetsugu Sakaguchi

The thermodynamic and magnetic properties of the mixed spin (1/2-1) hexagonal Ising nanowire (HIN) system with core-shell structure have been presented by means of the effective-field theory (EFT) with correlations. The effects of the…

Statistical Mechanics · Physics 2015-06-19 Yusuf Kocakaplan , Ersin Kantar

Recent developments in generalized symmetries have provided new insights into quantum field theories. Within this framework, photons can be understood as Nambu-Goldstone modes associated with a spontaneously broken higher-form symmetry. In…

High Energy Physics - Theory · Physics 2026-01-05 Genki Yoshimura , Yukinao Akamatsu , Yuji Hirono

We investigate the adiabatic index $\Gamma_{\mathrm{th}}$ of hot and dense nuclear matter from chiral effective field theory and find that the results are systematically larger than from typical mean field models. We start by constructing…

Nuclear Theory · Physics 2019-09-20 Yeunhwan Lim , Jeremy W. Holt

We present an effective field theory of multiparticle correlations based on analogy with Ginzburg-Landau theory of superconductivity. We assume that the field represents particle density fluctuations, and show that in the case of…

High Energy Physics - Phenomenology · Physics 2008-02-03 I. Sarcevic , H. C. Eggers , H. Th. Elze