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In infinite dimension, many-body systems of pairwise interacting particles provide exact analytical benchmarks for features of amorphous materials, such as the stress-strain curve of glasses under quasistatic shear. Here, instead of a…

Disordered Systems and Neural Networks · Physics 2021-03-16 Elisabeth Agoritsas

A recently introduced Renormalization Group approach to frustrated spin models is applied in three dimensions through Monte Carlo computations. A class of spin glass models is analysed, with correlated disorder variables given by a Z_2…

Statistical Mechanics · Physics 2007-05-23 Leonardo Gnesi , Roberto Petronzio , Francesco Rosati

We show that interfacial nonreciprocity transforms defect dynamics in conserved scalar fields within the framework of the Nonreciprocal Cahn-Hilliard model. Nonreciprocal surface tension alone produces intermittently stable defects:…

Soft Condensed Matter · Physics 2026-05-25 Laya Parkavousi , Suropriya Saha

This work reports an extensive study of three-dimensional topological ordered phases that, in one of the directions behave like usual topological order concerning mobility of excitations, but in the perpendicular plane manifest type-II…

Strongly Correlated Electrons · Physics 2024-12-12 Heitor Casasola , Guilherme Delfino , Yizhi You , Paula F. Bienzobaz , Pedro R. S. Gomes

In this paper we study the non-unitary deformations of the two-dimensional Tricritical Ising Model obtained by coupling its two spin Z2 odd operators to imaginary magnetic fields. Varying the strengths of these imaginary magnetic fields and…

High Energy Physics - Theory · Physics 2023-02-22 Máté Lencsés , Alessio Miscioscia , Giuseppe Mussardo , Gábor Takács

We show that the interplay between geometric criticality and dynamical fluctuations leads to a novel universality class of the contact process on a randomly diluted lattice. The nonequilibrium phase transition across the percolation…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Man Young Lee

We investigate the surface critical behavior of two-dimensional multilayered aperiodic Ising models in the extreme anisotropic limit. The system under consideration is obtained by piling up two types of layers with respectively $p$ and $q$…

Statistical Mechanics · Physics 2016-08-31 Pierre Emmanuel Berche , Bertrand Berche

We investigate the static and dynamic critical behaviour of a uniformly driven bilayer Ising lattice gas at half filling. Depending on the strength of the interlayer coupling J, phase separation occurs across or within the two layers. The…

Statistical Mechanics · Physics 2009-11-07 U. C. Tauber , B. Schmittmann , R. K. P. Zia

We report results of high-precision Monte Carlo simulations of a three-dimensional lattice model in the O(3) universality class, in the presence of a surface. By a finite-size scaling analysis we have proven the existence of a special…

Statistical Mechanics · Physics 2022-03-30 Francesco Parisen Toldin

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

Soft Condensed Matter · Physics 2018-05-23 Derek Frydel , Rudolf Podgornik

A spin-glass system with a smooth or fractal outer surface is studied by renormalization-group theory, in bulk spatial dimension d=3. Independently varying the surface and bulk random-interaction strengths, phase diagrams are calculated.…

Disordered Systems and Neural Networks · Physics 2025-02-18 Yiğit Ertaç Pektaş , E. Can Artun , A. Nihat Berker

We explore universal critical behavior in models with two competing order parameters, and an O(N)+O(M) symmetry for dimensions $d \leq 3$. In d=3, there is always exactly one stable Renormalization Group fixed point, corresponding to…

Statistical Mechanics · Physics 2016-10-12 Julia Borchardt , Astrid Eichhorn

The flow equations of the Functional Renormalization Group are applied to the O(N)-symmetric scalar theory, for N=1 and N=4, in four Euclidean dimensions, d=4, to determine the effective potential and the renormalization function of the…

High Energy Physics - Theory · Physics 2015-06-05 Dario Zappalà

A system driven in the vicinity of its critical point by varying a relevant field in an arbitrary function of time is a generic system that possesses a long relaxation time compared with the driving time scale and thus represents a large…

Statistical Mechanics · Physics 2016-10-26 Baoquan Feng , Shuai Yin , Fan Zhong

A lattice of interacting Majorana modes can occur in a superconducting film on a topological insulator in a magnetic field. The phase diagram as a function of interaction strength for the square lattice was analyzed recently using a…

Strongly Correlated Electrons · Physics 2018-12-19 Kyle Wamer , Ian Affleck

We present a phase-field model for simulating the solid-state dewetting of anisotropic crystalline films on non-planar substrates. This model exploits two order parameters to trace implicitly the crystal free surface and the substrate…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Emma Radice , Marco Salvalaglio , Roberto Bergamaschini

Coordinate-based neural networks parameterizing implicit surfaces have emerged as efficient representations of geometry. They effectively act as parametric level sets with the zero-level set defining the surface of interest. We present a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

We review the currently known universality classes of continuous phase transitions to absorbing states in nonequilibrium systems and present results of simulations and arguments to show how the blockades introduced by different particle…

Statistical Mechanics · Physics 2009-11-07 Geza Odor , Nora Menyhard

We study the renormalization group flow of the O(N) non-linear sigma model in arbitrary dimensions. The effective action of the model is truncated to fourth order in the derivative expansion and the flow is obtained by combining the…

High Energy Physics - Theory · Physics 2013-05-16 Raphael Flore , Andreas Wipf , Omar Zanusso

We calculate the relaxational dynamical critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry by renormalization group method within the minimal subtraction scheme in two loop order. The three different bicritical static…

Statistical Mechanics · Physics 2009-11-13 R. Folk , Yu. Holovatch , G. Moser
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