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The formalism of Ursell operators provides a self-consistent integral equation for the one-particle reduced operator. In three dimensions this technique yields values of the shift in the Bose-Einstein condensation (BEC) transition…

Statistical Mechanics · Physics 2007-05-23 W. J. Mullin , M. Holzmann , F. Laloe

We analyze the structure of fluctuations near critical points and spinodals in mean-field and near-mean-field systems. Unlike systems that are non-mean-field, for which a fluctuation can be represented by a single cluster in a properly…

Statistical Mechanics · Physics 2013-05-29 W. Klein , Harvey Gould , Natali Gulbahce , J. B. Rundle , K. Tiampo

Recent experimental observations have demonstrated interesting instability phenomenon during thermal drawing of microstructured glass/polymer fibers, and these observations motivate us to examine surface-tension-driven instabilities in…

Fluid Dynamics · Physics 2011-08-12 D. S. Deng , J. -C. Nave , X. Liang , S. G. Johnson , Y. Fink

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

Statistical Mechanics · Physics 2009-10-31 Jose M. Sancho , Angel Sanchez

We derive the generalized Green-Kubo relation and an integral form of the fluctuation theorem that apply to uniformly sheared granular systems in which microscopic time-reversal symmetry is broken. The former relation provides an exact…

Statistical Mechanics · Physics 2009-06-11 Song-Ho Chong , Michio Otsuki , Hisao Hayakawa

We investigate dynamical many-body systems capable of universal computation, which leads to their properties being unpredictable unless the dynamics is simulated from the beginning to the end. Unpredictable behavior can be quantitatively…

Quantum Physics · Physics 2021-06-16 Javad Kazemi , Hendrik Weimer

We investigate proteins within heterogeneous cell membranes where non-equilibrium phenomena arises from spatial variations in concentration and temperature. We develop simulation methods building on non-equilibrium statistical mechanics to…

Soft Condensed Matter · Physics 2025-08-28 D. Jasuja , P. J. Atzberger

With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary non-equilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must…

Quantum Physics · Physics 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

The effect of the beam-beam interactions on the stability of impedance mode is discussed. The detuning is evaluated by the means of single particle tracking in arbitrarily complex collision configurations, including lattice non-linearities,…

Accelerator Physics · Physics 2014-10-16 X. Buffat , W. Herr , N. Mounet , T. Pieloni

A theoretical model of endogenous fluctuations of the norm of the wave function, consistent with the standard quantum theory, is presented. These fluctuations are a subsystem of endogenous quantum fluctuations and describe one of the…

Quantum Physics · Physics 2019-05-21 G. A. Ptitsyn

Robust oscillations play crucial roles in a wide variety of biological processes and are often generated by deterministic mechanisms. However, stochastic fluctuations often generate complex perturbations of these deterministic oscillations,…

Dynamical Systems · Mathematics 2026-03-27 Xuesong Bai , Jonathan Touboul , Thomas G. Fai

Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation. Fluctuation relations generalize the second law of thermodynamics to stochastic processes. We show that any…

Statistical Mechanics · Physics 2019-11-26 Patrick P. Potts , Peter Samuelsson

The amplitude of fluctuation-induced patterns might be expected to be proportional to the strength of the driving noise, suggesting that such patterns would be difficult to observe in nature. Here, we show that a large class of…

Statistical Mechanics · Physics 2017-01-11 Tommaso Biancalani , Farshid Jafarpour , Nigel Goldenfeld

Quantum decoherence can arise due to classical fluctuations in the parameters which define the dynamics of the system. In this case decoherence, and complementary noise, is manifest when data from repeated measurement trials are combined.…

General Relativity and Quantum Cosmology · Physics 2011-09-13 G. J. Milburn

Understanding the rich spatial and temporal structures in nonequilibrium thermal environments is a major subject of statistical mechanics. Because universal laws, based on an ensemble of systems, are mute on an individual system, exploring…

Statistical Mechanics · Physics 2019-04-19 Liyi Zhao , Ping Fang , Chushun Tian

Research on the emergence of thermodynamics in closed quantum systems under unitary time evolution arrived at the consensus that generic systems equilibrate under rather general assumptions. A new focus of the field is thus on exceptions.…

Strongly Correlated Electrons · Physics 2025-02-19 J. Eckseler , J. Schnack

Consider at a finite temperature $T$ a superfluid moving with a velocity $v$ relative to the thermal bath or its normal component. From Landau's argument there exists a critical $v_c (T)$ beyond which excitations can be spontaneously…

High Energy Physics - Theory · Physics 2025-07-17 Shanquan Lan , Hong Liu , Yu Tian , Hongbao Zhang

We theoretically evaluate the impact of drift-free noise on the dynamics of $\mathcal{PT}$-symmetric non-Hermitian systems with an exceptional point, which have recently been proposed for sensors. Such systems are currently considered as…

Optics · Physics 2019-07-11 Christian Wolff , Christos Tserkezis , N. Asger Mortensen

We investigate the long-range statistical correlations, whereby discuss the nature of the undermining interacting/ noninteracting domains and associated phase transitions under variations of the quark mass and the mass scale that…

High Energy Physics - Lattice · Physics 2019-08-19 Bhupendra Nath Tiwari
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