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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…

统计力学 · 物理学 2018-11-06 Daniel Dantchev , Vassil Vassilev , Peter Djondjorov

In confined systems near a continuous phase transition the long-ranged fluctuations of the corresponding order parameter are subject to boundary conditions. These constraints result in so-called critical Casimir forces acting as effective…

统计力学 · 物理学 2015-05-18 T. F. Mohry , A. Maciołek , S. Dietrich

Critical dynamics in film geometry is analyzed within the field-theoretical approach. In particular we consider the case of purely relaxational dynamics (Model A) and Dirichlet boundary conditions, corresponding to the so-called ordinary…

统计力学 · 物理学 2007-05-23 A. Gambassi , S. Dietrich

Fluctuation-induced forces occur generically when long-ranged correlations (e.g., in fluids) are confined by external bodies. In classical systems, such correlations require specific conditions, e.g., a medium close to a critical point. On…

统计力学 · 物理学 2019-07-30 Markus Gross , Christian M. Rohwer , S. Dietrich

We study the behavior of fluids, confined by geometrically structured substrates, upon approaching a critical point at T = Tc in their bulk phase diagram. As generic substrate structures periodic arrays of wedges and ridges are considered.…

软凝聚态物质 · 物理学 2008-10-31 M. Tröndle , L. Harnau , S. Dietrich

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…

统计力学 · 物理学 2015-06-17 O. A. Vasilyev , S. Dietrich

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…

统计力学 · 物理学 2015-03-04 Francesco Parisen Toldin

Motivated by recent experiments with confined binary liquid mixtures near demixing, we study the universal critical properties of a system, which belongs to the Ising universality class, in the film geometry. We employ periodic boundary…

统计力学 · 物理学 2010-11-29 Francesco Parisen Toldin , Siegfried Dietrich

When masless excitations are limited or modified by the presence of material bodies one observes a force atcing between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

统计力学 · 物理学 2016-04-27 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

We describe numerical simulations of the stochastic diffusion equation with a conserved charge. We focus on the dynamics in the vicinity of a critical point in the Ising universality class. The model we consider is expected to describe the…

核理论 · 物理学 2023-10-17 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir Skokov

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

统计力学 · 物理学 2009-07-13 Andrea Gambassi

Colloids immersed in a critical binary liquid mixture are subject to critical Casimir forces (CCFs) because they confine its concentration fluctuations and influence the latter via effective surface fields. To date, CCFs have only been…

软凝聚态物质 · 物理学 2013-09-04 Akira Furukawa , Andrea Gambassi , Siegfried Dietrich , Hajime Tanaka

In a recent study [Phys. Rev. E \textbf{94}, 022103 (2016)] it has been shown that, for a fluid film subject to critical adsorption, the resulting critical Casimir force (CCF) may significantly depend on the thermodynamic ensemble. Here, we…

统计力学 · 物理学 2019-06-13 Christian M. Rohwer , Alessio Squarcini , Oleg Vasilyev , S. Dietrich , Markus Gross

When massless excitations are limited or modified by the presence of material bodies one observes a force acting between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

统计力学 · 物理学 2016-10-05 Daniel M Dantchev , Vassil M Vassilev , Peter A Djondjorov

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…

统计力学 · 物理学 2009-03-18 H. W. Diehl , H. Chamati

We study the unitary time evolution of the order parameter of a quantum system after a sudden quench in the parameter driving the transition. By mapping the dynamics onto the imaginary time path-integral in a film geometry we derive the…

统计力学 · 物理学 2012-01-12 Andrea Gambassi , Pasquale Calabrese

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…

统计力学 · 物理学 2012-02-22 H. W. Diehl , Felix M. Schmidt

We study non-equilibrium order parameter dynamics of the non-linear sigma model in the large $N$ limit, using Keldysh formalism. We provide a scheme for obtaining stable numerical solutions of the Keldysh saddle point equations, and use…

统计力学 · 物理学 2020-03-09 Sebastian Gemsheim , Ipsita Mandal , Krishnendu Sengupta , Zhiqiang Wang

The critical Casimir force (CCF) arises from confining fluctuations in a critical fluid and thus it is a fluctuating quantity itself. While the mean CCF is universal, its (static) variance has previously been found to depend on the…

统计力学 · 物理学 2021-06-21 Markus Gross , Andrea Gambassi , S. Dietrich

The effect of imposing a constraint on a fluctuating scalar order parameter field in a system of finite volume is studied within statistical field theory. The canonical ensemble, corresponding to a fixed total integrated order parameter, is…

统计力学 · 物理学 2017-08-17 Markus Gross , Andrea Gambassi , S. Dietrich
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