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While techniques to compute thermal fluctuation induced, or pseudo-Casimir, forces in equilibrium systems are well established, the same is not true for non-equilibrium cases. We present a general formalism that allows us to unambiguously…

Statistical Mechanics · Physics 2009-08-10 David S. Dean , Ajay Gopinathan

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

The notion of fluctuation-induced forces is generalized to the cases where the fluctuations have nonequilibrium origin. It is shown that a net force is exerted on a single flat plate that restricts scale-free fluctuations of a scalar field…

Soft Condensed Matter · Physics 2009-11-10 Ali Najafi , Ramin Golestanian

A comprehensive theory of interfacial fluctuation effects occurring at 2D wedge (corner) filling transitions in pure (thermal disorder) and impure (random bond-disorder) systems is presented. Scaling theory and the explicit results of…

Soft Condensed Matter · Physics 2009-11-07 A. O. Parry , M. J. Greenall , A. J. Wood

A field theory to describe electrostatic interactions in soap films, described by electric multi-layers with a generalized thermodynamic surface-charging mechanism, is studied. In the limit where the electrostatic interactions are weak this…

Statistical Mechanics · Physics 2009-11-07 D. S. Dean , R. R. Horgan

We review recent advances in the theoretical, numerical, and experimental studies of critical Casimir forces in soft matter, with particular emphasis on their relevance for the structures of colloidal suspensions and on their dynamics.…

Soft Condensed Matter · Physics 2023-12-27 Andrea Gambassi , S. Dietrich

This work is about fluctuations of the surface charge between two media with distinct dielectric functions. The long-range correlation of the surface charge fluctuations is treated classically and quantum mechanically, in the non-retarded…

Statistical Mechanics · Physics 2009-12-17 Ladislav Samaj , Bernard Jancovici

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete…

Condensed Matter · Physics 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

A macroscopic theory for the molecular or Casimir interaction of dielectric materials with arbitrarily shaped surfaces is developed. The interaction is generated by the quantum and thermal fluctuations of the electromagnetic field which…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig

Casimir physics covers a wealth of phenomena where forces between macroscopic objects are induced by long range fluctuations of either classical or quantum origin. Fluctuations of the quantum electrodynamic vacuum epitomize this type of…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 Ariane Soret , Karyn Le Hur , Eric Akkermans

We generalize the predictions for attractions between over-all neutral surfaces induced by charge fluctuations/correlations to non-uniform systems that include dielectric discontinuities, as is the case for mixed charged lipid membranes in…

Soft Condensed Matter · Physics 2009-10-31 Rebecca Menes , Philip Pincus , Bean Stein

The continental plates of Earth are known to drift over a geophysical timescale, and their interactions have lead to some of the most spectacular geoformations of our planet while also causing natural disasters such as earthquakes and…

Fluid Dynamics · Physics 2024-12-20 Jinzi Mac Huang

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

Simulations of water near extended hydrophobic spherical solutes have revealed the presence of a region of depleted density and accompanying enhanced density fluctuations.The physical origin of both phenomena has remained somewhat obscure.…

Soft Condensed Matter · Physics 2023-02-01 Mary K. Coe , Robert Evans , Nigel B. Wilding

The contact line dynamics of a thermal field assisted flow configuration of two immiscible fluids is considered in a narrow thermofluidic pathway. The surfaces of the channel are wetted with predesigned wettabilities and interdigitated…

Fluid Dynamics · Physics 2018-04-23 Golak Kunti , Anandaroop Bhattacharya , Suman Chakraborty

Arguments are presented to the effect that embedding semi-flexible (wormlike) ideal polymers into a fluctuating, flexible surface leads to an effective attractive orientational interaction between polymer segments that precipitates an…

Condensed Matter · Physics 2009-10-28 R. Podgornik

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

Exploiting the mapping between a binary mixture and the Ising model we have analyzed the critical fluctuations by means of the density-matrix renormalization group technique. The calculations have been carried out for a two-dimensional…

Statistical Mechanics · Physics 2015-02-11 Małgorzata Zubaszewska , Andrej Gendiar , Tomasz Masłowski

The article proposes an algorithm to model the collision between arbitrary ellipsoids in viscous fluid. It is composed of several steps, each improving upon the standard procedure employed in the current literature. First, an efficient…

Fluid Dynamics · Physics 2022-03-11 Ramandeep Jain , Silvio Tschisgale , Jochen Fröhlich

We develop a theory to probe the effect of non-equilibrium fluctuation-induced forces on the size of a polymer confined between two horizontal thermally conductive plates subject to a constant temperature gradient, $\nabla T$. We assume…

Statistical Mechanics · Physics 2017-10-05 Himadri S. Samanta , Mauro L. Mugnai , T. R. Kirkpatrick , D. Thirumalai