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We study the fluctuation-induced, time-dependent force between two plates immersed in a fluid driven out of equilibrium mechanically by harmonic vibrations of one of the plates. Considering a simple Langevin dynamics for the fluid, we…

Statistical Mechanics · Physics 2009-12-22 Andreas Hanke

The fluctuating hydrodynamics by Brey et. al. is analytically solved to get the long-time limit of the fluctuations of the number density, velocity field, and energy density around the homogeneous cooling state of a granular gas, under…

Statistical Mechanics · Physics 2023-11-27 Jesús David Jiménez Oliva , Pablo Rodriguez-Lopez , Nagi Khalil

We study hydrodynamic fluctuations in a compressible and viscous fluid film confined between two rigid, no-slip, parallel plates, where one of the plates is kept fixed, while the other one is driven in small-amplitude, translational,…

Soft Condensed Matter · Physics 2018-07-03 Masoud Mohammadi-Arzanagh , Saeed Mahdisoltani , Rudolf Podgornik , Ali Naji

Hydrophobic force, interfacial tension, transverse density profile in confined water system are addressed from first principles of statistical mechanics in a lattice model for water. Using molecular mean field theory technique we deduce…

Statistical Mechanics · Physics 2011-09-14 Jampa Maruthi Pradeep Kanth , Ramesh Anishetty

We discuss the fluctuation-induced force, a finite-temperature analog of the Casimir force, between two inclusions embedded in a fluid membrane under tension. We suggest a method to calculate this Casimir interaction in the most general…

Soft Condensed Matter · Physics 2015-05-19 Hsiang-Ku Lin , Roya Zandi , Umar Mohideen , Leonid P. Pryadko

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 have numerically investigated the behavior of driven non-cohesive granular media and found that two fixed large intruder particles, immersed in a sea of small particles, experience, in addition to a short range depletion force, a long…

Statistical Mechanics · Physics 2007-05-23 C. Cattuto , R. Brito , U. Marini Bettolo Marconi , F. Nori , R. Soto

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…

Statistical Mechanics · Physics 2021-06-21 Markus Gross , Andrea 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…

Statistical Mechanics · Physics 2019-07-30 Markus Gross , Christian M. Rohwer , S. Dietrich

We numerically study a two-dimensional granular gas of rigid disks where an external driving force is applied to each particle in such a way that the system is driven into a steady state by balancing the energy input and the dissipation due…

Statistical Mechanics · Physics 2009-04-13 M. Reza Shaebani , Jalal Sarabadani

We calculate the effective fluctuation induced force between spherical or disk-like colloids trapped at a flat, fluid interface mediated by thermally excited capillary waves. This Casimir type force is determined by the partition function…

Soft Condensed Matter · Physics 2007-11-13 H. Lehle , M. Oettel

The static Casimir effect describes an attractive force between two conducting plates, due to quantum fluctuations of the electromagnetic (EM) field in the intervening space. {\it Thermal fluctuations} of correlated fluids (such as critical…

Condensed Matter · Physics 2008-11-26 Mehran Kardar , Ramin Golestanian

We investigate the effective long-range interactions between intruder particles immersed in a randomly driven granular fluid. The effective Casimir-like force between two intruders, induced by the fluctuations of the hydrodynamic fields,…

Soft Condensed Matter · Physics 2013-12-04 M. Reza Shaebani , Jalal Sarabadani , Dietrich E. Wolf

Confining in space the equilibrium fluctuations of statistical systems with long-range correlations is known to result into effective forces on the boundaries. Here we demonstrate the occurrence of Casimir-like forces in the non-equilibrium…

Soft Condensed Matter · Physics 2024-03-04 Giuseppe Fava , Andrea Gambassi , Francesco Ginelli

Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

Statistical Mechanics · Physics 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

In this letter we consider the fluctuation induced force exerted between two plates separated by a distance $L$ in a fluid with a temperature gradient. We predict that, for a range of distances $L$, this non-equilibrium force is anomalously…

Statistical Mechanics · Physics 2013-06-13 T. R. Kirkpatrick , J. M. Ortiz de Zárate , J. V. Sengers

The force experienced by objects embedded in a correlated medium undergoing thermal fluctuations--the so-called fluctuation--induced force--is actually itself a fluctuating quantity. We compute the corresponding probability distribution and…

Soft Condensed Matter · Physics 2016-08-31 Denis Bartolo , Armand Ajdari , Jean-Baptiste Fournier , Ramin Golestanian

We compute fluctuation-induced (Casimir) forces for classical systems after a temperature quench. Using a generic coarse-grained model for fluctuations of a conserved density, we find that transient forces arise even if the initial and…

Statistical Mechanics · Physics 2017-01-11 Christian M. Rohwer , Mehran Kardar , Matthias Krüger

We extend our earlier macrostatistical treatment of hydrodynamical fluctuations about nonequilibrium steady states to viscous fluids. Since the scale dependence of the Navier-Stokes equations precludes the applicability of any infinite…

Mathematical Physics · Physics 2015-06-05 Geoffrey L. Sewell

In our study we investigate the behaviour of the net force (NF) emerging between an ellipsoidal particle and a thick plate (slab), when the interaction takes place in a near critical fluid medium with account for the omnipresent van der…

Statistical Mechanics · Physics 2019-03-27 G. S. Valchev , D. M. Dantchev
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