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The confinement of long-ranged critical fluctuations in the vicinity of second-order phase transitions in fluids generates critical Casimir forces acting on confining surfaces or among particles immersed in a critical solvent. This is…

Statistical Mechanics · Physics 2015-06-17 O. A. Vasilyev , S. Dietrich

We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

Quantum Physics · Physics 2025-02-14 M. Bordag , I. G. Pirozhenko

Systems described by an O(n) symmetrical $\phi^4$ Hamiltonian are considered in a $d$-dimensional film geometry at their bulk critical points. A detailed renormalization-group (RG) study of the critical Casimir forces induced between the…

Statistical Mechanics · Physics 2012-02-22 H. W. Diehl , Felix M. Schmidt

The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum of the vacuum fluctuations depends on…

High Energy Physics - Theory · Physics 2023-02-08 M. N. Chernodub , V. A. Goy , A. V. Molochkov

Landau-Ginzburg $\phi^4$ field theory is usually applied to systems for understanding continuous phase transitions at critical points. Here we analyze the thermal field using a similar free energy description from a statistical field theory…

Statistical Mechanics · Physics 2021-10-22 Venkat Abhignan , R. Sankaranarayanan

We present both analytical and numerical results for the behaviour of the Casimir force in a Ginzburg-Landau type model of a film of a simple fluid or binary liquid mixture in which the confining surfaces are strongly adsorbing but…

Statistical Mechanics · Physics 2018-11-06 Daniel Dantchev , Vassil Vassilev , Peter Djondjorov

We show that critical Casimir effects can be accessed through direct simulation of a model binary fluid passing through the demixing transition. We work in the semi grand canonical ensemble, in slab geometry, in which the Casimir force…

Statistical Mechanics · Physics 2016-11-23 Francesco Puosi , David Lopes Cardozo , Sergio Ciliberto , Peter C. W. Holdsworth

Casimir forces in a critical media are produced by spatial suppression of order parameter fluctuations. In this paper we address the question how fluctuations of a critical media relates the magnitude of critical Casimir interactions.…

Statistical Mechanics · Physics 2019-01-02 Oleg A. Vasilyev

We investigate the low temperature behavior of a system in a spontaneously broken symmetry phase described by an Euclidean quantum $\lambda\varphi^{4}_{d+1}$ model with quenched disorder. Using a series representation for the averaged…

High Energy Physics - Theory · Physics 2022-12-14 G. O. Heymans , N. F. Svaiter , G. Krein

In soft and condensed matter physics, effective interactions often emerge as a result of the spatial confinement of a fluctuating field. For instance, microscopic particles in a binary liquid mixture are subject to critical Casimir forces…

We study the effects of dissipation on a disordered quantum phase transition with O$(N)$ order parameter symmetry by applying a strong-disorder renormalization group to the Landau-Ginzburg-Wilson field theory of the problem. We find that…

Strongly Correlated Electrons · Physics 2007-12-04 J. A. Hoyos , Chetan Kotabage , Thomas Vojta

We consider the dynamics of an isolated quantum many-body system after a sudden change of one control parameter, focusing on the statistics of the work done. We establish a connection between the generating function of the distribution of…

Statistical Mechanics · Physics 2011-06-15 Andrea Gambassi , Alessandro Silva

We use the perturbative renormalization group to study classical stochastic processes with memory. We focus on the generalized Langevin dynamics of the \phi^4 Ginzburg-Landau model with additive noise, the correlations of which are local in…

Statistical Mechanics · Physics 2015-03-19 Julius Bonart , Leticia F. Cugliandolo , Andrea Gambassi

We consider the influence of quenched disorder on the relaxational critical dynamics of a system characterized by a non-conserved order parameter coupled to the diffusive dynamics of a conserved scalar density (model C). Disorder leads to…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

We study the critical Casimir force for a film geometry in the Ising universality class. We employ a homogeneous adsorption preference on one of the confining surfaces, while the opposing surface exhibits quenched random disorder, leading…

Statistical Mechanics · Physics 2015-03-04 Francesco Parisen Toldin

Critical phenomena arise ubiquitously in various context of physics, from condensed matter, high energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point.…

Statistical Mechanics · Physics 2020-07-15 Ryo Hanai , Peter B. Littlewood

Among the various kinds of effective forces in soft matter, the spatial range and the direction of the so-called critical Casimir force - which is generated by the enhanced thermal fluctuations close to a continuous phase transition - can…

Soft Condensed Matter · Physics 2011-02-14 Andrea Gambassi , S. Dietrich

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

High Energy Physics - Theory · Physics 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

The classical dimer model on the cubic lattice hosts a columnar ordered phase and a disordered Coulomb phase, separated by a continuous phase transition that lies beyond the conventional Landau-Ginzburg-Wilson paradigm. While its…

Statistical Mechanics · Physics 2026-05-18 Hu-Xiao Peng , Zheng Yan , Shuai Yin

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino