4.3 Article

Particles, string and interface in the three-dimensional Ising model

期刊

NUCLEAR PHYSICS B
卷 958, 期 -, 页码 -

出版社

ELSEVIER
DOI: 10.1016/j.nuclphysb.2020.115139

关键词

-

向作者/读者索取更多资源

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform. (C) 2020 The Author(s). Published by Elsevier B.V.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.3
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Physics, Multidisciplinary

Absence of nematic quasi-long-range order in two-dimensional liquid crystals with three director components

Gesualdo Delfino, Youness Diouane, Noel Lamsen

Summary: The Lebwohl-Lasher model investigates the isotropic-nematic transition in liquid crystals, particularly in two dimensions where there is a conjecture of a topological transition leading to a nematic phase with quasi-long-range order. By using scale invariant scattering theory to determine renormalization group fixed points, the model for N = 3 is obtained. For N > 2, the absence of quasi-long-range order and the presence of a zero temperature critical point in the universality class of the O(N(N + 1)/2 - 1) model are demonstrated.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2021)

Article Physics, Multidisciplinary

Finite-size effects in the rough phase of the 3d Ising model

Walter Selke

Summary: Using Monte Carlo simulations, this study investigates the finite-size effects of interfacial properties in the rough phase of the Ising model on a cubic lattice with L x L x R sites. Particularly, it focuses on the magnetization profiles perpendicular to the flat interface of size L x R, with comparisons made to predictions of standard capillary-wave theory and a field theory based on effective string actions for L = infinity.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2021)

Review Physics, Condensed Matter

Particles, conformal invariance and criticality in pure and disordered systems

Gesualdo Delfino

Summary: This article reviews recent progress achieved by implementing conformal invariance within the particle description of field theory, which yields exact unitarity equations classifying critical points with a given symmetry. The study also reveals analytical mechanisms allowing for the superuniversality of some critical exponents.

EUROPEAN PHYSICAL JOURNAL B (2021)

Article Physics, Multidisciplinary

Multiparameter universality and conformal field theory for anisotropic confined systems: test by Monte Carlo simulations

Volker Dohm, Stefan Wessel, Benedikt Kalthoff, Walter Selke

Summary: Researchers have verified recent analytic predictions derived from anisotropic phi(4) theory and conformal field theory regarding the critical free energy amplitude of finite anisotropic systems in the two-dimensional Ising universality class through high-precision Monte Carlo simulations, finding remarkable agreement between the experimental data and the theoretical predictions. This study supports the validity of multiparameter universality and refutes the validity of two-scale-factor universality, while also comparing the results with exact results in the three-dimensional phi(4) model with planar anisotropy and briefly discussing the critical Casimir amplitude.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2021)

Article Mechanics

Correlations and structure of interfaces in the Ising model: theory and numerics

Alessio Squarcini, Antonio Tinti

Summary: In this study, phase separation of the two-dimensional Ising model on a strip in the near-critical region was investigated. Within the field theory framework, exact analytic results for certain two- and three-point correlation functions of the order parameter field were found. Accurate Monte Carlo simulations confirmed the analytic results for order parameter correlations, energy density profile, subleading corrections, and passage probability density of the interface.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2021)

Article Mechanics

Critical points in the CP N-1 model

Youness Diouane, Noel Lamsen, Gesualdo Delfino

Summary: In this study, we used scale invariant scattering theory to investigate the exact equations determining the renormalization group fixed points of the two-dimensional CP (N-1) model. We found that the solution space of this model reduces to that of the O(N(2)-1) model under specific conditions, and explained the zero temperature critical point. Additionally, for N < 2, the solution space becomes larger than that of the O(N(2)-1) model, with the emergence of new branches of fixed points that are relevant for criticality in gases of intersecting loops.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2022)

Article Physics, Multidisciplinary

Spectral density of individual trajectories of an active Brownian particle

Alessio Squarcini, Alexandre Solon, Gleb Oshanin

Summary: In this study, we analytically investigate the spectral density of active Brownian motion (BM) and reveal its distinctive features compared to its passive counterpart. The spectral content of individual trajectories is sufficient to distinguish between the active and passive classes.

NEW JOURNAL OF PHYSICS (2022)

Article Physics, Particles & Fields

Persistent oscillations after quantum quenches in d dimensions

Gesualdo Delfino, Marianna Sorba

Summary: This study provides analytical results for the time evolution of local observables in systems undergoing quantum quenches in d spatial dimensions. It shows that undamped oscillations occur when the quench includes single-quasiparticle modes and the observable couples to those modes in homogeneous systems. In the general case where the quench is performed in a subregion of the d-dimensional space, the time evolution occurs inside a light cone spreading away from the boundary of the quenched region as time increases.

NUCLEAR PHYSICS B (2022)

Article Physics, Multidisciplinary

Casimir Contribution to the Interfacial Hamiltonian for 3D Wetting

Alessio Squarcini, Jose M. Romero-Enrique, Andrew O. Parry

Summary: This study determines the Casimir contribution in the interfacial model of three-dimensional wetting, which changes the interpretation of fluctuation effects and impacts the critical singularities and nonuniversality in wetting transitions.

PHYSICAL REVIEW LETTERS (2022)

Article Physics, Multidisciplinary

Noise-to-signal ratio of single-trajectory spectral densities in centered Gaussian processes

Alessio Squarcini, Enzo Marinari, Gleb Oshanin, Luca Peliti, Lamberto Rondoni

Summary: We discuss the statistical properties of the single-trajectory power spectral density of a one-dimensional real-valued centered Gaussian process. Our findings reveal that the fluctuations of the power spectral density exceed its average value, suggesting a potential issue with using the average to describe the behavior of these processes. Furthermore, we evaluate the typical behavior of the power spectral density and find significant deviations from the average in most cases.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Physics, Multidisciplinary

Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes

Alessio Squarcini, Enzo Marinari, Gleb Oshanin, Luca Peliti, Lamberto Rondoni

Summary: This study investigates the stochastic behavior of the single-trajectory spectral density S(omega,T) of various Gaussian stochastic processes, such as Brownian motion, Ornstein-Uhlenbeck process, Brownian gyrator model, and fractional Brownian motion, in terms of frequency w and observation time T. The variance and frequency-frequency correlation of S(omega,T) are evaluated for different values of omega. The results demonstrate that these properties exhibit different behaviors for different physical cases, thus serving as a sensitive probe to distinguish between different types of random motion. These findings are of great importance in the analysis of experimental and numerical data.

NEW JOURNAL OF PHYSICS (2022)

Article Physics, Multidisciplinary

Fractional Brownian gyrator

Alessio Squarcini, Alexandre Solon, Pascal Viot, Gleb Oshanin

Summary: When a physical system evolves in a thermal bath at a constant temperature, it reaches an equilibrium state with independent properties. However, when driven out of equilibrium, the system reaches a steady-state with properties that depend on the dynamics details. This study investigates the dependence of the steady state on driving noise and energy dissipation using a minimal model of a two-dimensional nano-machine called the Brownian gyrator.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Mechanics

Shape and interfacial structure of droplets. Exact results and simulations

Alessio Squarcini, Antonio Tinti

Summary: We compare the results obtained from Monte Carlo simulations with the Ising model and the exact field theory of phase separation in two dimensions for a droplet interface pinned on a flat wall. The simulations confirm the theoretical predictions for the interface structure effects, resolving a long-standing discrepancy between simulations and theory for the order parameter profile. The results also establish the long-ranged decay of interfacial correlations parallel to the interface.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2023)

Article Chemistry, Physical

Derivation of the Casimir contribution to the binding potential for 3D wetting

A. Squarcini, J. M. Romero-Enrique, A. O. Parry

Summary: This article investigates the renormalisation group theory of critical and tri-critical wetting transitions in three-dimensional systems, and points out that previous studies have overlooked the entropic contribution to the binding potential. The inclusion of this contribution significantly improves the predictions for critical singularities.

MOLECULAR PHYSICS (2023)

Article Physics, Particles & Fields

Droplet-mediated long-range interfacial correlations. Exact field theory for entropic repulsion effects

Alessio Squarcini, Antonio Tinti

Summary: In this study, we investigate near-critical two-dimensional statistical systems with phase coexistence on the half plane, leading to the formation of a droplet separating the coexisting phases under specific boundary conditions. By utilizing the low-energy properties of two-dimensional field theories, exact analytical results for the one- and two-point correlation functions of both the energy density and order parameter fields are derived. Furthermore, the subleading finite-size corrections are computed and explained in the context of a precise probabilistic framework characterizing interfacial fluctuations as a probability density of a Brownian excursion. The analysis of order parameter correlations reveals the long-ranged nature of interfacial correlations and their confinement within the interfacial region. Moreover, the analysis is extended to momentum space using the concept of interface structure factor, which is also generalized to systems bounded by a flat wall, considering the presence of the wall and its associated entropic repulsion.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Article Physics, Particles & Fields

Non-equilibrium dynamics of dipole-charged fields in the Proca theory

Bogdan Damski

Summary: In this paper, we discuss the dynamics of field configurations in the Proca theory of the real massive vector field, specifically focusing on a certain class of electric (magnetic) dipole-charged states. We construct these states to ensure that the long-distance structure of the mean electromagnetic field is initially set by the formula describing the electromagnetic field of the electric (magnetic) dipole. We analyze the evolution of this mean electromagnetic field over time and observe the phenomena of harmonic oscillations of the electric (magnetic) dipole moment far from the center of the initial field configuration, as well as the emergence of a spherical shock wave propagating at the speed of light near the center. Additionally, we discover a unique axisymmetric mean electric field configuration accompanying the mean magnetic field in magnetic dipole-charged states.

NUCLEAR PHYSICS B (2024)

Article Physics, Particles & Fields

Slow complexification

Brett McInnes

Summary: The time-dependence of AdS black hole interior geometries poses challenges to holographic duality and the traversability of wormholes. Quantum circuit complexity of strongly coupled matter can address the first challenge. Data from a phenomenological model show an upper bound on the complexity growth rate, which becomes stricter with the addition of angular momentum. The slowing of black hole interior dynamics at high specific angular momentum also occurs.

NUCLEAR PHYSICS B (2024)

Article Physics, Particles & Fields

(2,0) theory on S5 x S1 and quantum M2 branes

M. Beccaria, S. Giombi, A. A. Tseytlin

Summary: This article investigates the superconformal index Z of the 6d (2,0) theory on S5 x S1 and describes it using the quantum M2 brane theory in the large N limit. By studying M2 branes in a twisted product of thermal AdS7 and S4, the leading non-perturbative term at large N is shown to be reproduced by the 1-loop partition function of an instanton M2 brane wrapped on S1 x S2 with S2 c S4. Similarly, the partition function of a defect M2 brane wrapped on thermal AdS3 c AdS7 reproduces the BPS Wilson loop expectation value in the (2,0) theory. The article also comments on the analogy of these results with similar computations in the quantum M2 brane partition function in AdS4 x S7/DOUBLE-STRUCK CAPITAL Zk, which reproduced the corresponding localization expressions in the ABJM 3d gauge theory.

NUCLEAR PHYSICS B (2024)

Article Physics, Particles & Fields

A note on the AdS/CFT correspondence and the nature of spacetime in quantum gravity

Carlos Silva

Summary: This paper explores the nature of spacetime in quantum gravity based on a new version of the holographic principle that establishes a connection between string theory and polymer holonomy structures. The research findings suggest that, for this relationship to hold, spacetime must be perceived as emerging from a fundamental structure with degrees of freedom corresponding to quantum correlations only.

NUCLEAR PHYSICS B (2024)

Article Physics, Particles & Fields

Sensitivity of anomalous quartic gauge couplings via tri-photon production at FCC-hh

A. Senol, H. Denizli, C. Helveci

Summary: This study investigates new physics using a Monte Carlo method, and the results show stronger limitations on anomalous quartic gauge couplings compared to previous experiments.

NUCLEAR PHYSICS B (2024)