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Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane

The transition of the flow in a duct of square cross-section is studied. Like in the similar case of the pipe flow, the motion is linearly stable for all Reynolds numbers; this flow is thus a good candidate to investigate the 'bypass' path…

Fluid Dynamics · Physics 2010-07-02 Damien Biau , Houssam Soueid , Alessandro Bottaro

Microscopic current fluctuations are inseparable from conductance. We give an integral account of both quantized conductance and nonequilibrium thermal noise in one-dimensional ballistic wires. Our high-current noise theory opens a very…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frederick Green , Mukunda P Das

When transmitting information over a noisy channel, two approaches, dating back to Shannon's work, are common: assuming the channel errors are independent of the transmitted content and devising an error-correcting code, or assuming the…

Information Theory · Computer Science 2015-01-22 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

Fluctuations in systems away from thermal equilibrium have features that have no analog in equilibrium systems. One of such features concerns large rare excursions far from the stable state in the space of dynamical variables. For…

Statistical Mechanics · Physics 2014-10-21 Oleg Kogan

If a point particle moves chaotically through a periodic array of scatterers the associated transport coefficients are typically irregular functions under variation of control parameters. For a piecewise linear two-parameter map we analyze…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , T. Klauss

We present a theory of the interplane conductivity of bilayer high temperature superconductors, focusing on the effect of quantal and thermal fluctuations on the oscillator strengths of the superfluid stiffness and the bilayer plasmon. We…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shah , A. J. Millis

We show that spatial variation and correlation of superconductivity fluctuations in a two-band model are scaled by two characteristic lengths. This results in substantially more complicated picture compared to one-band systems. In…

Superconductivity · Physics 2012-11-26 T. Örd , A. Vargunin , K. Rägo

We develop the semiclassical method of complex trajectories in application to chaotic dynamical tunneling. First, we suggest a systematic numerical technique for obtaining complex tunneling trajectories by the gradual deformation of the…

Chaotic Dynamics · Physics 2008-11-26 D. G. Levkov , A. G. Panin , S. M. Sibiryakov

We consider the real part of the conductivity, \sigma_1(\omega), arising from classical phase fluctuations in a model for high-T_c superconductors. We show that the frequency integral of that conductivity, \int_0^\infty \sigma_1 d\omega, is…

Superconductivity · Physics 2009-10-31 S. Barabash , D. Stroud , I. -J. Hwang

We discuss fluctuations near the second order phase transition where the free energy has an additional non-Hermitian term. The spectrum of the fluctuations changes when the odd-parity potential amplitude exceeds the critical value…

Superconductivity · Physics 2012-10-11 N. M. Chtchelkatchev , A. A. Golubov , T. I. Baturina , V. M. Vinokur

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn

We examine the transport behaviour of non-interacting particles in a simple channel billiard, at equilibrium and in the presence of an external field. The channel walls are constructed from straight line-segments. We observe a sensitive…

Statistical Mechanics · Physics 2007-05-23 O. G. Jepps , L. Rondoni

Current is a characteristic feature of nonequilibrium systems. In stochastic systems, these currents exhibit fluctuations constrained by the rate of dissipation in accordance with the recently discovered thermodynamic uncertainty relation.…

Statistical Mechanics · Physics 2017-10-30 Todd R. Gingrich , Jordan M. Horowitz

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 study quantum transport in a periodically driven (Floquet) topological system coupled to static fermionic reservoirs. Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry,…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Rekha Kumari , Manas Kulkarni , Abhishek Dhar

The path integral of 4D Einstein-Hilbert gravity for the de Sitter-like Universe with fluctuations is investigated, and the transition amplitude from one boundary configuration to another is computed. The gravitational system is described…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Manishankar Ailiga , Shubhashis Mallik , Gaurav Narain

Boundary-driven spin chains are paradigmatic non-equilibrium systems in both classical and quantum settings. In general it may not be possible to distinguish classical from quantum transport through monitoring the mean current, as both…

Statistical Mechanics · Physics 2018-09-12 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky

We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors. Intriguing transport properties are exhibited when strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , E. Shimshoni

Intermittent high-amplitude structures emerge in a damped and driven discrete nonlinear Schroedinger equation whose solutions transport both energy and particles from sources to sinks. These coherent structures are necessary for any…

Chaotic Dynamics · Physics 2007-05-23 Benno Rumpf Alan C. Newell
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