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The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this letter, we derive scaling forms for the singular…

Soft Condensed Matter · Physics 2022-11-08 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

The p-d model which well describes the CuO_2 planes of the high-Tc superconductors is studied by means of the Composite Operator Method (COM). The relevant quasi-particle excitations are represented by composite operators. As a result of…

Strongly Correlated Electrons · Physics 2009-10-31 V. Fiorentino , F. Mancini , E. Zasinas , A. F. Barabanov

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

Statistical Mechanics · Physics 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin

We study the random connection model on hyperbolic space $\mathbb{H}^d$ in dimension $d=2,3$. Vertices of the spatial random graph are given as a Poisson point process with intensity $\lambda>0$. Upon variation of $\lambda$ there is a…

Probability · Mathematics 2025-10-14 Matthew Dickson , Markus Heydenreich

For a large class of repulsive interaction models, the Mayer cluster integrals can be transformed into a tridiagonal real symmetric matrix $R_{mn}$, whose elements converge to two constants. This allows for an effective extrapolation of the…

Statistical Mechanics · Physics 2010-08-26 Z. Rotman , E. Eisenberg

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with…

Strongly Correlated Electrons · Physics 2009-11-10 Minchul Lee , Eun-Ah Kim , Jong Soo Lim , M. Y. Choi

The universal behaviour of superconductors near the phase transition is described by the three-dimensional field theory of scalar quantum electrodynamics. We approximately solve the model with the help of non-perturbative flow equations. A…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Bergerhoff , F. Freire , D. Litim , S. Lola , C. Wetterich

Within a recently introduced model based on the bond-fluctuation dynamics we study the viscoelastic behaviour of a polymer solution at the gelation threshold. We here present the results of the numerical simulation of the model on a cubic…

Soft Condensed Matter · Physics 2009-10-31 E. Del Gado , L. de Arcangelis , A. Coniglio

We investigate a critical exponent related to synchronization transition in globally coupled nonidentical phase oscillators. The critical exponents of susceptibility, correlation time, and correlation size are significant quantities to…

Statistical Mechanics · Physics 2019-12-06 Isao Nishikawa , Koji Iwayama , Gouhei Tanaka , Takehiko Horita , Kazuyuki Aihara

We analyze the renormalization of systems whose effective degrees of freedom are described in terms of fluctuations which are ``environment'' dependent. Relevant environmental parameters considered are: temperature, system size, boundary…

High Energy Physics - Theory · Physics 2015-06-26 Denjoe O'Connor , C. R. Stephens

The critical behavior of the random-field Ising model has been a puzzle for a long time. Different theoretical methods predict that the critical exponents of the random-field ferromagnet in D dimensions are the same as in the pure…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. E. Feldman

We study through Monte Carlo simulations and finite-size scaling analysis the nonequilibrium phase transitions of the majority-vote model taking place on spatially embedded networks. These structures are built from an underlying regular…

Statistical Mechanics · Physics 2016-05-11 C. I. N. Sampaio Filho , T. B. dos Santos , A. A. Moreira , F. G. B. Moreira , J. S. Andrade

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

Using a simple analytic approach, we study the universal properties of second-order phase transition in holographic superconductor models. We explore a general model in arbitrary dimensions in which the condensation occurs via the…

High Energy Physics - Theory · Physics 2011-11-03 Chiang-Mei Chen , Ming-Fan Wu

The Anderson transitions in a random magnetic field in three dimensions are investigated numerically. The critical behavior near the transition point is analyzed in detail by means of the transfer matrix method with high accuracy for…

Disordered Systems and Neural Networks · Physics 2017-09-27 T. Kawarabayashi , B. Kramer , T. Ohtsuki

Using perturbative renormalization group we investigate the influence of random velocity field on the critical behavior of directed bond percolation process near its second-order phase transition between absorbing and active phase.…

Chaotic Dynamics · Physics 2016-08-25 M. Dančo , M. Hnatič , T. Lučivjanský , L. Mižišin

This paper presents a combined numerical-theoretical study of the macroscopic behavior and local field distributions in a special class of two-dimensional periodic composites with viscoplastic phases. The emphasis is on strongly nonlinear…

Materials Science · Physics 2009-07-09 Martin I. Idiart , Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

We derive exact expressions for effective elastodynamic properties of two-phase composites in the long-wavelength (quasistatic) regime via homogenized constitutive relations that are local in space. This is accomplished by extending the…

Materials Science · Physics 2021-01-01 J. Kim , S. Torquato

We study the behavior of the antiferromagnetic RP$^2$ model in $d=3$. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical…

High Energy Physics - Lattice · Physics 2011-02-21 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev