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In this paper we present a method for deriving effective one-dimensional models based on the matrix product state formalism. It exploits translational invariance to work directly in the thermodynamic limit. We show, how a representation of…

Strongly Correlated Electrons · Physics 2015-06-26 Frederik Keim , Götz S. Uhrig

A methodology is presented for estimating average values for the temperature and the frictional traction over a tool-workpiece interface using measured values of force and torque applied to the tool. The approach was developed specifically…

Materials Science · Physics 2014-04-01 Paul R. Dawson , Donald E. Boyce

Cell membrane tension directly influences various cellular functions. In this study, we developed a method to estimate surface tension from time-series data. We obtained the curvature-velocity relationship from time-series of binarized cell…

Cell Behavior · Quantitative Biology 2025-04-22 Hiroki Nishitani , Takashi Miura

The BEST Collaboration equation of state combining lattice data with the 3D Ising critical point encounters limitations due to the truncated Taylor expansion up to $\frac{\mu_B}{T} \sim 2.5$. This truncation consequently restricts its…

'Causal' direction is of great importance when dealing with complex systems. Often big volumes of data in the form of time series are available and it is important to develop methods that can inform about possible causal connections between…

Statistical Mechanics · Physics 2014-01-24 Fatimah Abdul Razak , Henrik Jeldtoft Jensen

The critical Ising model in two dimensions with a defect line is analyzed to deliver the first exact solution with twisted boundary conditions. We derive exact expressions for the eigenvalues of the transfer matrix and obtain analytically…

Statistical Mechanics · Physics 2016-10-26 Armen Poghosyan , Nikolay Izmailian , Ralph Kenna

The intensity matching approach for tractable performance evaluation and optimization of cellular networks is introduced. It assumes that the base stations are modeled as points of a Poisson point process and leverages stochastic geometry…

Information Theory · Computer Science 2016-04-12 Marco Di Renzo , Wei Lu , Peng Guan

For the fully anisotropic simple-cubic Ising lattice, the critical finite-size scaling amplitudes of both the spin-spin and energy-energy inverse correlation lengths and the singular part of the reduced free-energy density are calculated by…

Condensed Matter · Physics 2009-10-22 M. A. Yurishchev

A systematic method to obtain strong coupling expansions for scattering quantities in Hamiltonian lattice field theories is presented. I develop the conceptual ideas by means of the Hamiltonian field theory analogue of the Ising model, in…

High Energy Physics - Lattice · Physics 2009-10-22 Bernd Dahmen

Transferability estimation has been an essential tool in selecting a pre-trained model and the layers in it for transfer learning, to transfer, so as to maximize the performance on a target task and prevent negative transfer. Existing…

Machine Learning · Computer Science 2022-07-07 Long-Kai Huang , Ying Wei , Yu Rong , Qiang Yang , Junzhou Huang

In a recent paper, Clusel and Fortin [J. Phys. A.: Math. Gen. 39 (2006) 995] presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified…

Statistical Mechanics · Physics 2008-09-05 Elmar Bittner , Wolfhard Janke

We study the Parisi overlap probability density P_L(q) for the three-dimensional Ising ferromagnet by means of Monte Carlo (MC) simulations. At the critical point P_L(q) is peaked around q=0 in contrast with the double peaked magnetic…

Statistical Mechanics · Physics 2009-11-07 Bernd A. Berg , Alain Billoire , Wolfhard Janke

The high-performance scalable parallel algorithm for rigorous calculation of partition function of lattice systems with finite number Ising spins was developed. The parallel calculations run by C++ code with using of Message Passing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-21 Alexey A. Peretyatko , Ivan A. Bogatyrev , Vitaliy Yu. Kapitan , Yury V. Kirienko , Konstantin V. Nefedev , Valery I. Belokon

We present a variant of the immersed boundary method integrated with octree meshes for highly efficient and accurate Large-Eddy Simulations (LES) of flows around complex geometries. We demonstrate the scalability of the proposed method up…

Forming a hetero-interface is a materials-design strategy that can access an astronomically large phase space. However, the immense phase space necessitates a high-throughput approach for optimal interface design. Here we introduce a…

We have proposed an efficient algorithm to calculate physical quantities in the translational invariant three-dimensional tensor networks, which is particularly relevant to the study of the three-dimensional classical statistical models and…

Statistical Mechanics · Physics 2023-04-17 Li-Ping Yang , Y. F. Fu , Z. Y. Xie , T. Xiang

A definition of an effective meson-meson interaction adapted to the framework of a lattice simulation is presented. Results, based on a truncated momentum-space 4-point time correlation matrix, and preliminary data from a complementary…

High Energy Physics - Lattice · Physics 2016-09-01 J. D. Canosa , H. R. Fiebig , H. Markum

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

Statistical Mechanics · Physics 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói

In this work, exact solutions are obtained for a class of generalized gauge-invariant $n$-chain Ising models ($n=1,2,3,4$) with arbitrary multi-spin interactions that are invariant under the local $\mathbb{Z}_2$ gauge group. On a strip…

Statistical Mechanics · Physics 2026-05-25 Pavel Khrapov , Stepan Shchurenkov

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı , Yusuf Yüksel , Hamza Polat