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Related papers: Comment on "Work Fluctuations for a Harmonically C…

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In Newtonian mechanics, any closed-system dynamics of a composite system in a microstate will leave all its individual subsystems in distinct microstates, however this fails dramatically in quantum mechanics due to the existence of quantum…

Quantum Physics · Physics 2019-11-13 Erick Hinds Mingo , David Jennings

We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending results presented by Sellitto (cond-mat/9809186). We show that…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi , F. Bonetto , L. F. Cugliandolo , J. Kurchan

We give a brief account of the development of methods to include thermal fluctuations into lattice Boltzmann algorithms. Emphasis is put on our recent work (Phys. Rev. E 76, 036704 (2007)) which provides a clear understanding in terms of…

Statistical Mechanics · Physics 2009-11-13 Burkhard Duenweg , Ulf D. Schiller , Anthony J. C. Ladd

Recently von Delft (cond-mat/0510563v1)(JvD) has successfully re-derived our influence functional for interacting electrons and claimed that within our approach he was able to obtain the electron decoherence rate that vanishes at T=0. In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitri S. Golubev , Andrei D. Zaikin

We consider countable system of harmonic oscillators on the real line with quadratic interaction potential with finite support and local external force (stationary stochastic process) acting only on one fixed particle. In the case of…

Mathematical Physics · Physics 2022-09-07 Alexandr Lykov , Margarita Melikian

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

Probability · Mathematics 2014-03-05 Sourav Chatterjee , Persi Diaconis

We derive a version of the so-called "best Fokker-Planck approximation" (BFPA) to describe the spatial properties of interacting active Ornstein-Uhlenbeck particles (AOUPs) in arbitrary spatial dimensions. In doing so, we also take into…

Soft Condensed Matter · Physics 2025-03-26 René Wittmann , Iman Abdoli , Abhinav Sharma , Joseph M. Brader

In this talk I present a review on the theoretical status of polarized fragmentation functions and the prospects for conceivable future semi-inclusive deep-inelastic scattering and proton-proton collision experiments to measure them.

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel de Florian

We prove two forms of uncertainty principle for the Schr\"odinger group generated by the Ornstein-Uhlenbeck operator. As a consequence, we derive a related (in fact, equivalent) result for the imaginary harmonic oscillator.

Analysis of PDEs · Mathematics 2024-06-25 Nicola Garofalo

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

The comment is intended to answer the criticism presented on `Steady-state fluctuations of a genetic feedback loop: an exact solution' [J. Chem. Phys. {\bf 137}, 035104 (2012).] and provides the missing component for the complete analytic…

Subcellular Processes · Quantitative Biology 2013-02-22 Guilherme C. P. Innocentini , Alexandre F. Ramos , José Eduardo M. Hornos

The formalism of Kundu et al. [J. Stat. Mech. (2011) P03007], for computing the large deviations of heat flow in harmonic systems, is applied to the case of single Brownian particle in a harmonic trap and coupled to two heat baths at…

Statistical Mechanics · Physics 2012-02-21 Sanjib Sabhapandit

We analyze the results obtained from a model consisting of the interaction etween the electric quadrupole moment of a moving particle and an electric field. We argue that the system does not support bound states because the motion along the…

Quantum Physics · Physics 2020-09-23 Francisco M. Fernández

We derive the distribution function of work performed by a harmonic force acting on a uniformly dragged Brownian particle subjected to a rotational torque. Following the Onsager and Machlup's functional integral approach, we obtain the…

Statistical Mechanics · Physics 2016-01-29 Bappa Saha , Sutapa Mukherji

We study the behavior of the energy fluctuations in the stationary state of a uniformly heated granular gas. The equation for the one-time two-particle correlation function is derived and the hydrodynamic eigenvalues are identified.…

Statistical Mechanics · Physics 2009-09-29 M. I. Garcia de Soria , P. Maynar , E. Trizac

The particle-number fluctuations originated from collective excitations are investigated for a three-dimensional, repulsively interacting Bose-Einstein condensate (BEC) confined in a harmonic trap. The contribution due to the quantum…

Soft Condensed Matter · Physics 2009-11-10 Shujuan Liu , Hongwei Xiong , Guoxiang Huang , Zhijun Xu

We study the limit fluctuations of the rescaled occupation time process of a branching particle system in $\mathbb{R}^d$, where the particles are subject to symmetric $\alpha$-stable migration ($0<\alpha\leq2$), critical binary branching,…

There has been an increasing interest in the quantification of nearly deterministic work extraction from a finite number of copies of microscopic particles in finite time. This paradigm, so called single-shot epsilon-deterministic work…

Quantum Physics · Physics 2017-11-22 Sina Salek , Karoline Wiesner

In the process of work it has been found that space-time quantum fluctuations are naturally described in terms of the deformation parameter introduced on going from the well-known quantum mechanics to that at Planck scales and put forward…

General Physics · Physics 2013-06-13 A. E. Shalyt-Margolin