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It is predicted that in force microscopy the quantum fluctuations responsible for the Casimir force can be directly observed as temperature-independent force fluctuations having spectral density $9\pi/(40\ln(4/e)) \hbar \delta k$, where…

Quantum Physics · Physics 2007-05-23 John A. Sidles

We find the Casimir energy, at finite temperature, for acoustic phonons in a Graphene sheet suspended over a rectangular trench, and the corresponding Casimir forces are interpreted as correction terms to the built-in tensions of the…

Mesoscale and Nanoscale Physics · Physics 2017-11-07 Y. Koohsarian , K. Javidan , A. Shirzad

The cantilever tip of a nanoswitch in close proximity to the ground plate is considered with account of electrostatic, elastic, van der Waals (Casimir), and also contact repulsive forces. The van der Waals (Casimir) and contact repulsive…

Mesoscale and Nanoscale Physics · Physics 2024-10-21 G. L. Klimchitskaya , A. S. Korotkov , V. V. Loboda , V. M. Mostepanenko

We propose a definitive test of whether plates involved in Casimir experiments should be modeled with ballistic or diffusive electrons--a prominent controversy highlighted by a number of conflicting experiments. The unambiguous test we…

Quantum Physics · Physics 2015-06-30 Andrew A. Allocca , Justin H. Wilson , Victor Galitski

Estimating free-energy differences using nonequilibrium work relations, such as the Jarzynski equality, is hindered by poor convergence when work fluctuations are large. For systems governed by overdamped Langevin dynamics, we propose the…

Statistical Mechanics · Physics 2025-08-14 Stephen Whitelam

How can precise control be realised in intrinsically noisy systems? Here, we develop a general theoretical framework that provides a way to achieve precise control in signal-dependent noisy environments. When the control signal has Poisson…

Optimization and Control · Mathematics 2015-06-15 Wenlian Lu , Jianfeng Feng , Shun-ichi Amari , David Waxman

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability…

Statistical Mechanics · Physics 2015-06-11 Moshe Gitterman , David A. Kessler

Casimir forces can appear between intrusions placed in different media driven by several fluctuation mechanisms, either in equilibrium or out of it. Herein, we develop a general formalism to obtain such forces from the dynamical equations…

Statistical Mechanics · Physics 2015-05-20 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable result in the onset of a quasi-deterministic limit cycle…

Quantitative Methods · Quantitative Biology 2007-05-23 Cyrill B. Muratov , Eric Vanden-Eijnden , Weinan E

It was shown recently that the Force Feedback Microscope can avoid the jump-to-contact in Atomic force Microscopy even when the cantilevers used are very soft, thus increasing force resolution. In this letter, we explore theoretical aspects…

Mesoscale and Nanoscale Physics · Physics 2014-06-17 Mario S Rodrigues , Luca Costa , Joel Chevrier , Fabio Comin

If a fluctuating medium is confined, the ensuing perturbation of its fluctuation spectrum generates Casimir-like effective forces acting on its confining surfaces. Near a continuous phase transition of such a medium the corresponding order…

Soft Condensed Matter · Physics 2011-02-15 A. Gambassi , A. Maciolek , C. Hertlein , U. Nellen , L. Helden , C. Bechinger , S. Dietrich

The Casimir force between two metallic plates is affected by their roughness state. This effect is usually calculated through the so-called `proximity force approximation' which is only valid for small enough wavevectors in the spectrum of…

Quantum Physics · Physics 2007-05-23 Cyriaque Genet , Astrid Lambrecht , Paulo Maia Neto , Serge Reynaud

We establish strict upper limits for the Casimir interaction between multilayered structures of arbitrary dielectric or diamagnetic materials. We discuss the appearance of different power laws due to frequency-dependent material constants.…

Quantum Physics · Physics 2009-11-10 Carsten Henkel , Karl Joulain

The primary focus of this dissertation is the study of the Casimir effect and the possibility that this phenomenon may serve as a mechanism to mediate higher dimensional stability, and also as a possible mechanism for creating a small but…

General Relativity and Quantum Cosmology · Physics 2009-01-26 Richard K. Obousy

Pate et al. \cite{pate} investigated a macroscopic opto-mechanical system with a narrow-gap re-entrant cavity coupled to a SiN membrane resonator coated with Au or Nb. They observed a significant increase in the membrane's effective spring…

Quantum Physics · Physics 2025-11-12 Giuseppe Bimonte

It is well known that acoustic fields can produce forces on single particles, however they can also induce inter-particle forces due to multiple scattering events. This multi-particle force -- here referred to as acoustic binding -- is…

Classical Physics · Physics 2022-03-10 Nicholas St. Clair , Dominique Davenport , Arnold D. Kim , Dustin Kleckner

We present a new Monte Carlo method to calculate Casimir forces acting on objects in a near-critical fluid, considering the two basic cases of a wall and a sphere embedded in a two-dimensional Ising medium. During the simulation, the…

Statistical Mechanics · Physics 2014-06-19 Hendrik Hobrecht , Alfred Hucht

Sound absorption at low frequencies still remains a challenge in both scientific research and engineering practice. Natural porous materials are ineffective in this frequency range, as well as acoustic resonators which present too narrow…

Applied Physics · Physics 2026-01-08 Xinxin Guo , Maxime Volery , Hervé Lissek

We consider the influence of extra dimensions on the force in Casimir pistons. Suitable analytical expressions are provided for the Casimir force in the range where the plate distance is small, and that where it is large, compared to the…

High Energy Physics - Theory · Physics 2009-07-17 Klaus Kirsten , S. A. Fulling

Quantum sensors allow us to measure weak oscillating fields with incredible precision. One common approach is to use the time evolution of a single two-level system (or a qubit) in conjunction with applied control pulses to measure the…

Quantum Physics · Physics 2025-10-31 Rizwan Abbas , Ali Raza Mirza , Adam Zaman Chaudhry
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