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In this paper, we study block-block entanglement in the ground state of one-dimensional extended Hubbard model. Our results show that the phase diagram derived from the block-block entanglement manifests richer structure than that of the…

Quantum Physics · Physics 2009-11-11 Shu-Sa Deng , Shi-Jian Gu , Hai-Qing Lin

Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering applications. In fracture mechanics, the phase field…

Numerical Analysis · Mathematics 2025-06-23 Md Mamun Miah , Ryuhei Wakida , Masato Kimura

We explore the quantum phase transitions between two ordered states in the infinite dimensional Hubbard-Holstein model at half filling. Our study is based on the dynamical mean field theory (DMFT) combined with the numerical renormalization…

Strongly Correlated Electrons · Physics 2010-07-29 Johannes Bauer , Alex C. Hewson

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended…

Quantum Gases · Physics 2012-02-01 Jamshid Moradi Kurdestany , Ramesh V. Pai , Rahul Pandit

We discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. We use the lattice O(4) non-linear sigma model in (1+1)- and (3+1)-dimensions as an example. We show how…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. E. Ligterink , N. R. Walet , R. F. Bishop

The combination of the effects of Doppler frequency shifts (due to mobility) and phase noise (due to the imperfections of oscillators operating at a high carrier frequency) poses serious challenges to Orthogonal Frequency Division…

Information Theory · Computer Science 2022-11-29 Francesco Linsalata , Nassar Ksairi

We investigate one-dimensional systems with both energy conservation and a continuous symmetry, focusing on the impact of a boundary perturbation that breaks the continuous symmetry. Our study reveals two distinct dynamical phases: one in…

Quantum Physics · Physics 2026-03-17 Qucheng Gao , Xiao Chen

The Mott transition is observed experimentally in materials that are magnetically frustrated so that long-range order does not hide the Mott transition at finite temperature. The Hubbard model on the triangular lattice at half-filling is a…

Strongly Correlated Electrons · Physics 2023-04-03 P. -O. Downey , O. Gingras , J. Fournier , C. -D. Hébert , M. Charlebois , A. -M. S. Tremblay

By comparing the evolution of the local and equal load sharing fiber bundle models, we point out the paradoxical result that stresses seem to make the local load sharing model stable when the equal load sharing model is not. We explain this…

Disordered Systems and Neural Networks · Physics 2019-08-06 Jonas T. Kjellstadli , Eivind Bering , Martin Hendrick , Srutarshi Pradhan , Alex Hansen

The random fiber bundle (RFB) model, with the strength of the fibers distributed uniformly within a finite interval, is studied under the assumption of global load sharing among all unbroken fibers of the bundle. At any fixed value of the…

Statistical Mechanics · Physics 2009-11-07 S. Pradhan , P. Bhattacharyya , B. K. Chakrabarti

We solve a very general two-channel fermion-boson model describing charge transport within some background medium by means of a refined pseudo-site density matrix renormalization group (DMRG) technique. Performing a careful finite-size…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ejima , G. Hager , H. Fehske

The generic feature of traffic in a network of flowing electronic data packets is a phase transition from a stationary free-flow phase to a continuously growing congested non-stationary phase. In the most simple network of directed oriented…

Statistical Mechanics · Physics 2009-11-11 G. Mukherjee , S. S. Manna

We are interested in studying the stationary solutions and phase transitions of aggregation equations with degenerate diffusion of porous medium-type, with exponent $1 < m < \infty$. We first prove the existence of possibly infinitely many…

Analysis of PDEs · Mathematics 2020-07-13 José A. Carrillo , Rishabh S. Gvalani

Our general subject is the emergence of phases, and phase transitions, in large networks subjected to a few variable constraints. Our main result is the analysis, in the model using edge and triangle subdensities for constraints, of a sharp…

Combinatorics · Mathematics 2017-03-16 Charles Radin , Kui Ren , Lorenzo Sadun

The non-Hermitian extension of quasicrystals (QC) are highly tunable system for exploring novel material phases. While extended-localized phase transitions have been observed in one dimension, quantum phase transition in higher dimensions…

Quantum Physics · Physics 2023-09-19 Xianqi Tong , Su-Peng Kou

Finite element modelling is conducted to simulate the stress redistribution around a broken fibre (BF) in a bundle with experimentally measured fibre diameter distributions (FDD), followed by a parametric study of the influence of the FDD…

Applied Physics · Physics 2025-03-19 Milad Jafarypouria , Stepan Lomov , Sergey Abaimov

We study the constitutive behaviour, the damage process, and the properties of bursts in the continuous damage fiber bundle model introduced recently. Depending on its two parameters, the model provides various types of constitutive…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

The phenomenon of phase transitions in one-dimensional systems is discussed. Equilibrium systems are reviewed and some properties of an energy function which may allow phase transitions and phase ordering in one dimension are identified. We…

Statistical Mechanics · Physics 2015-06-24 M. R. Evans

Models with a nonequilibrium wetting transition display a transition also in finite systems. This is different from nonequilibrium phase transitions into an absorbing state, where the stationary state is the absorbing one for any value of…

Statistical Mechanics · Physics 2011-03-01 Andre Cardoso Barato

We investigate layered neural networks with differentiable activation function and student vectors without normalization constraint by means of equilibrium statistical physics. We consider the learning of perfectly realizable rules and find…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Ahr , M. Biehl , E. Schloesser