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Conformal fields with boundaries give rise to rich critical phenomena that can reveal information about the underlying conformality. While most existing studies focus on Hermitian systems, here we explore boundary critical phenomena in a…

Statistical Mechanics · Physics 2026-01-01 Yin Tang , Qianyu Liu , Qicheng Tang , W. Zhu

We describe a fluctuating surface-current formulation of radiative heat transfer, applicable to arbitrary geometries, that directly exploits standard, efficient, and sophisticated techniques from the boundary-element method. We validate as…

Materials Science · Physics 2012-12-27 Alejandro W. Rodriguez , M. T. Homer Reid , Steven G. Johnson

The thermodynamic properties of the XXZ spin chain with integrable open boundary conditions at the gaped region (i.e., the anisotropic parameter $\eta$ being a real number) are investigated.It is shown that the contribution of the…

Strongly Correlated Electrons · Physics 2019-08-16 Pei Sun , Zhi-Rong Xin , Yi Qiao , Kun Hao , Like Cao , Junpeng Cao , Tao Yang , Wen-Li Yang

The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk…

Statistical Mechanics · Physics 2009-11-13 S. V. Belim

We consider random q-state Potts models for $3\le q \le 8$ on the square lattice where the ferromagnetic couplings take two values $J_1>J_2$ with equal probabilities. For any q the model exhibits a continuous phase transition both in the…

Statistical Mechanics · Physics 2015-06-25 Gábor Palágyi , Christophe Chatelain , Bertrand Berche , Ferenc Iglói

A combinatorial approach is used to study the critical behavior of a $q$-state Potts model with a round-the-face interaction. Using this approach it is shown that the model exhibits a first order transition for $q>3$. A second order…

Statistical Mechanics · Physics 2019-11-27 Nir Schreiber , Reuven Cohen , Simi Haber , Gideon Amir , Baruch Barzel

The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the dimension at which the spin-glass state changes from having…

Disordered Systems and Neural Networks · Physics 2016-08-12 T. Aspelmeier , Wenlong Wang , M. A. Moore , Helmut G. Katzgraber

A detailed analysis of the finite-size effects on the bulk critical behaviour of the $d$-dimensional mean spherical model confined to a film geometry with finite thickness $L$ is reported. Along the finite direction different kinds of…

Statistical Mechanics · Physics 2008-08-12 H. Chamati

Using Monte Carlo techniques, the surface critical behaviour of three-dimensional semi-infinite ANNNI models with different surface orientations with respect to the axis of competing interactions is investigated. Special attention is…

Condensed Matter · Physics 2009-11-07 Michel Pleimling

We present an approach to theoretical assessment of the mean specific interface area $(\delta{S}/\delta{V})$ for a well-stirred system of two immiscible liquids experiencing interfacial boiling. The assessment is based on the balance of…

Statistical Mechanics · Physics 2017-05-03 Denis S. Goldobin , Anastasiya V. Pimenova

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling parameter in the region between two coaxial cylindrical…

High Energy Physics - Theory · Physics 2009-11-11 A. A. Saharian , A. S. Tarloyan

The model under consideration is a semi-infinite two-dimensional two-component plasma (Coulomb gas), stable against bulk collapse for the dimensionless coupling constant $\beta<2$, in contact with a dielectric wall of dielectric constant…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj

We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the atmospheric temperature are coupled by the emission of…

Analysis of PDEs · Mathematics 2023-12-27 Piermarco Cannarsa , Valerio Lucarini , Patrick Martinez , Cristina Urbani , Judith Vancostenoble

The liquid-gas phase transition for homogeneous symmetric nuclear matter is studied in the mean-field approximation. Critical properties are computed using a comprehensive group of Skyrme and Gogny forces in an effort to elucidate the…

Nuclear Theory · Physics 2010-07-23 A. Rios

We analyze the disturbed flow in the supersonic laminar boundary layer when local heated elements are placed on the surface. It is exhibited that these flows are described in terms of free interaction theory for specific sizes of thermal…

Fluid Dynamics · Physics 2015-05-30 M. V. Koroteev , I. I. Lipatov

We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the…

Disordered Systems and Neural Networks · Physics 2019-07-29 Silvio Franz , Thibaud Maimbourg , Giorgio Parisi , Antonello Scardicchio

The phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using DMRG and coupled with finite-size scaling. Particular attention is paid to the critical…

Statistical Mechanics · Physics 2015-06-12 Damien P. Foster , Claire Pinettes

The scaling function for the critical specific heat is obtained exactly for temperatures above the bulk transition temperature by working in the spherical limit. Generalization of the function to arbitrary $\alpha$ (the specific heat…

Condensed Matter · Physics 2009-10-31 Saugata Bhattacharyya , J. K. Bhattacharjee

Soft solids with surface energy exhibit complex mechanical behavior, necessitating advanced constitutive models to capture the interplay between bulk and surface mechanics. This interplay has profound implications for material design and…

Mathematical Physics · Physics 2025-12-12 Martin Horák , Michal Šmejkal , Martin Kružík

We investigate the folding and forced-unbinding transitions of adsorbed semiflexible polymer chains using theory and simulations. These processes describe biologically relevant phenomena that include adhesive interactions between proteins…

Soft Condensed Matter · Physics 2007-05-23 V. Barsegov , D. Thirumalai