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Motivated by the ubiquity of turbulent flows in realistic conditions, effects of turbulent advection on two models of classical non-linear systems are investigated. In particular, we analyze model A (according to the Hohenberg-Halperin…

Statistical Mechanics · Physics 2018-11-06 M. Hnatič , G. Kalagov , T. Lučivjanský

Universal aspects of the thermodynamic Casimir effect in wetting films of 3He-4He mixtures near their bulk tricritical point are studied within suitable models serving as representatives of the corresponding universality class. The…

Statistical Mechanics · Physics 2009-11-11 A. Maciolek , S. Dietrich

Pressure-induced changes in the magnetic and superconducting properties of a spin-triplet superconductor candidate UTe2 have attracted considerable interest, underscoring the need for microscopic theoretical insight. In this paper, we…

Strongly Correlated Electrons · Physics 2025-10-20 Makoto Shimizu , Youichi Yanase

We generate point configurations (PCs) by thresholding the local energy of the Ashkin-Teller model in two dimensions (2D) and study the percolation transition at different values of $\lambda$ along the critical Baxter line by varying the…

Statistical Mechanics · Physics 2025-07-21 Sayantan Mitra , Indranil Mukherjee , P. K. Mohanty

Finite-size critical systems defined on a parallel plate geometry of finite extent along one single ($z$) direction with Dirichlet and Neumann boundary conditions at $z=0,L$ are analyzed in momentum space. We introduce a modified…

Statistical Mechanics · Physics 2017-01-02 Messias V. S. Santos , José B. da Silva , Marcelo M. Leite

The dynamic critical exponent $z$ is determined numerically for the $d$-dimensional XY model ($d=2, 3$, and 4) subject to relaxational dynamics and resistively shunted junction dynamics. We investigate both the equilibrium fluctuation and…

Superconductivity · Physics 2007-05-23 Lars Melwyn Jensen , Beom Jun Kim , Petter Minnhagen

We present new capacitance measurements of critical Casimir force-induced thinning of $^4$He films near the superfluid/normal transition, focused on the region below $T_{\lambda}$ where the effect is the greatest. $^4$He films of 238, 285,…

Soft Condensed Matter · Physics 2009-11-11 A. Ganshin , S. Scheidemantel , R. Garcia , M. H. W. Chan

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

Statistical Mechanics · Physics 2015-03-03 G. Bimonte , T. Emig , M. Kardar

The critical behavior at the ordinary transition in semi-infinite n-component anisotropic cubic models is investigated by applying the field theoretic approach in d=3 dimensions up to the two-loop approximation. Numerical estimates of the…

Soft Condensed Matter · Physics 2009-11-10 Z. Usatenko , J. Spalek

We study the normal and the superconducting properties in noncentrosymmetric heavy fermion superconductors CeRhSi$_3$ and CeIrSi$_3$. For the normal state, we show that experimentally observed linear temperature dependence of the…

Superconductivity · Physics 2015-05-18 Y. Tada , N. Kawakami , S. Fujimoto

I show that cooperative exclusion processes with selective kinetic constraints exhibit fluctuation-induced forces that can be attractive or repulsive, depending on the density of boundary reservoirs, when their density-dependent diffusion…

Statistical Mechanics · Physics 2020-01-08 Mauro Sellitto

The critical dynamics of relaxational stochastic models with nonconserved $n$-component order parameter $\bm{\phi}$ and no coupling to other slow variables ("model A") is investigated in film geometries for the cases of periodic and free…

Statistical Mechanics · Physics 2009-03-18 H. W. Diehl , H. Chamati

We consider the fluctuation-induced interaction of two thin, rod-like particles or "needles" immersed in a two-dimensional critical fluid of Ising symmetry right at the critical point. Conformally mapping the plane containing the needles…

Statistical Mechanics · Physics 2016-10-05 E. Eisenriegler , T. W. Burkhardt

We present a numerical and theoretical study that supports and explains recent experimental results on anomalous magnetization fluctuations of a uniaxial ferromagnetic film in its low-temperature phase, which is forced by an oscillating…

Materials Science · Physics 2017-10-18 Gloria M. Buendia , Per Arne Rikvold

Finite size effect in critical systems can be interpreted as universal Casimir forces. Here we compare the Casimir force for free, periodic and antiperiodic boundary conditions in the exactly calculable case of the Ising model in one and…

Statistical Mechanics · Physics 2010-01-08 Roya Zandi , Joseph Rudnick , Aviva Shackell , Douglas Abraham

Although Casimir forces are inseparable from their fluctuations, little is known about these fluctuations in soft matter systems. We use the membrane stress tensor to study the fluctuations of the membrane-mediated Casimir-like force. This…

Soft Condensed Matter · Physics 2011-06-10 Anne-Florence Bitbol , Paul G. Dommersnes , Jean-Baptiste Fournier

A d-dimensional finite quantum model system confined to a general hypercubical geometry with linear spatial size L and ``temporal size'' 1/T (T - temperature of the system) is considered in the spherical approximation under periodic…

Condensed Matter · Physics 2008-02-03 H. Chamati , D. M. Danchev , N. S. Tonchev

Using analytic and numerical approaches, we study the spatio-temporal evolution of a conserved order parameter of a fluid in film geometry, following an instantaneous quench to the critical temperature $T_c$ as well as to supercritical…

Statistical Mechanics · Physics 2018-09-25 Markus Gross , Andrea Gambassi , S. Dietrich

We study the stochastic dynamics of an electrolyte driven by a uniform external electric field and show that it exhibits generic scale invariance despite the presence of Debye screening. The resulting long-range correlations give rise to a…

Soft Condensed Matter · Physics 2021-04-21 Saeed Mahdisoltani , Ramin Golestanian

We present results for the temperature behavior of the Casimir force for a system with a film geometry with thickness $L$ subject to free boundary conditions and described by the $n\to\infty$ limit of the $O(n)$ model. These results extend…

Statistical Mechanics · Physics 2015-06-11 Daniel Dantchev , Jonathan Bergknoff , Joseph Rudnick