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Topic: Fluctuation dissipation theorem

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	Statistical mechanics - Wikipedia, the free encyclopedia
		The macroscopic state of maximal entropy for the system is the one in which all micro-states are equally likely to occur during the system's fluctuations.
		In the micro-canonical ensemble, the system exchanges no energy with the outside world, and is therefore not subject to energy fluctuations, while in the canonical ensemble, the system is free to exchange energy with the outside in the form of heat.
		In the thermodynamic limit, which is the limit of large systems, fluctuations become negligible, so that all these descriptions converge to the same description.
	en.wikipedia.org /wiki/Statistical_mechanics (1430 words)

	Direct Test of the Fluctuation-Dissipation Theorem
		The Fluctuation-Dissipation Theorem gives the connection between the power spectrum of the microscopic fluctuating motion we call thermal noise and the macroscopically-measurable real (dissipative) part of the admittance of the system of interest.
		The admittance measurement yielded, via the Fluctuation-Dissipation Theorem, a prediction of the thermal noise spectrum that could be compared with the spectrum of the free motion obtained in the second part of the experiment.
		The excellent agreement between the two is a vivid demonstration of the validity of the theorem and its interpretation in the internal friction case.
	www.phy.syr.edu /~gravlab/gravity/node5.html (620 words)

	STATISTICAL PHYSICS: ON THERMAL FLUCTUATIONS
		In other words, the fluctuation of the particle at rest has the same origin as the dissipation of the motion of a moving particle that is subject to an external force.
		Einstein's result is a general one, codified in the "fluctuation-dissipation theorem", which is one of the deepest results of thermodynamics and statistical physics.
		The fluctuation-dissipation theorem states that these two numbers, previously considered independent of each other, are, in fact, connected by a simple relation: they are proportional to each other through the absolute temperature, a characteristic of the state of thermal equilibrium.
	scienceweek.com /2004/sa041015-1.htm (1654 words)

	The Breakdown of Fluctuation Dissipation Theorem of Type Two; Alternative Scenarios
		There we have also remarked that one useful approach to a formal definition of the dynamical arrest transition is to enforce the fluctuation-dissipation of type two (FDT2) during the simulations, thereby creating an ensemble identical to the unconstrained one, but without the irreversible fluctuations that drive the system away from equilibrium.
		Thus, the hole density fluctuates, without any overall drift when FDT2 is obeyed, but begins to slowly increase as we drift towards the more stable crystal phase.
		Up until the phase transition the hole densities fluctuate around a fixed, time-dependent average, that is typical of the hole density in the disordered fluid.
	fiachra.ucd.ie /~aonghus/publications/physica_2002/node10.html (498 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		Fluctuation-dissipation theorem (FDT) is a theory about how a statistical mechanical system responds to a small perturbing field.
		FDT theorises that there is a simple relation between the way the ball moves when the force is applied and the way the balls move when no force is applied i.e.
		A considerable amount of the project will be devoted to performing a carefully documented set of simulations under slightly different conditions to test the FDT as fully as practically possible.
	www.chem.uu.nl /fcc/www/proposal/swwk.htm (327 words)

	University of Pittsburgh - Physics & Astronomy Department (Site not responding. Last check: 2007-10-18)
		The transformation between energy input per sec to the rate of energy dissipation is called the energy cascade process.
		As one might expect, the amount of heat dissipation depends on the roughness of the interior of pipe.
		It has been suggested that the frictional energy loss /f/ depends on the flow rate /F/ through the pipe roughness /R/ in the same way that the magnetization of a magnet depends in temperature T and on the strength of the magnetic field H in which the magnet is immersed.
	www.phyast.pitt.edu /People/Faculty/WI_Goldburg.htm (574 words)

	Experimental Observation of a Violation of the Fluctuation-Dissipation Theorem in a Structural Glass (Site not responding. Last check: 2007-10-18)
		Experimental Observation of a Violation of the Fluctuation-Dissipation Theorem in a Structural Glass
		We have measured FDT violations in glycerlol slightly below its glass transition, by simultaneously recording dielectric response and fluctuations.
		This was done by measuring thermal noise at the resonance of an LC circuit, where glycerol forms the dielectric of the capacitor.
	flux.aps.org /meetings/YR99/CENT99/abs/S9550004.html (180 words)

	Fluctuation dissipation theorem in a general circulation model
		Perturbation in both the carbon dioxide content and the solar constant are used to obtain the response function from which the sensitivity matrix is calculated for different level and at the surface of the model.
		We show that even if the perturbed model does not reach equilibrium the FDT gives reliable values for the climate sensitivity for both the solar radiative and the carbon dioxide forcing.
		Citation: Cionni, I. Visconti, and F. Sassi (2004), Fluctuation dissipation theorem in a general circulation model, Geophys.
	www.agu.org /pubs/crossref/2004/2004GL019739.shtml (228 words)

	Langevin Equation
		In previous sections we have shown how to implement the regression hypothesis to describe the dissipation of macroscopic disturbances in terms of the regression of spontaneous fluctuations.
		The goal of this section is to describe another application of this general theoretical approach to relate the fluctuations of a physical quantity with the dissipation of a macroscopic disturbance.
		(485) indicates that the average initial momentum of the particle is dissipated into the bath at an exponential rate (i.e., the average velocity vanishes at an exponential rate).
	xbeams.chem.yale.edu /%7Ebatista/vaa/node59.html (727 words)

	On the relation between fluctuation and response in biological systems -- Sato et al. 100 (24): 14086 -- Proceedings of ...
		evolution and the phenotypic fluctuation of the fluorescence
		The correlation coefficient for the linear fit is 0.79, whereas that for the synonymous mutation rate (fl squares) is 0.21.
		1) that is proportional to the fluctuation of phenotypes
	www.pnas.org /cgi/content/full/100/24/14086 (4037 words)

	APS - 2005 APS March Meeting PostDeadline - Event - Experimental measurement of power input fluctuation in a turbulent ... (Site not responding. Last check: 2007-10-18)
		We study the power input fluctuations in a turbulent flow driven by body forces.
		The local velocity is measured in a system driven by a known pattern of Lorentz forces.
		The probability distribution of the power input is consistent with predictions from the Fluctuation-Dissipation theory, even though that should only apply to the spatially averaged input power.
	meetings.aps.org /Meeting/MAR05/Event/22778 (166 words)

	János TÓTH
		Many theorems hold for the generalization of exact lumping, such as necessary and sufficient conditions for lumpability, and relations between the qualitative properties of the original and the transformed equations.
		The motivation behind the generalization of exact lumping is to apply the theory to reaction-diffusion systems, to an infinite number of chemical species, to continuous components, or to stochastic models as well.
		An inequality between energy and information dissipation is studied, and the notion of relative entropy is investigated.
	www.math.bme.hu /~jtoth (3096 words)

	[No title]
		These fluctuations, which amount to shear deformations, furnish an expression for the elastic shear modulus of random solids in terms of the order parameter, as well as giving rise to a constant shift in the distribution of localization lengths, relative to the mean-field distribution.
		In two dimensions this shift diverges, fluctuations restore the classically-broken translational symmetry, and the constituents of the random solid state are no longer truly localized.
		The DFA derived scaling exponents demonstrate that there are LRTC of energy fluctuations in human hippocampus, and that the temporal persistence of energy fluctuations is characterized by a bias for large (small) energy fluctuations to be followed by large (small) energy fluctuations.
	www.how-why.com /ucs2004/abstracts.html (13095 words)

	Encyclopedia: Fluctuation Dissipation Theorem
		People who viewed "Fluctuation Dissipation Theorem" also viewed:
		In statistical physics, the fluctuation dissipation theorem states that if a thermodynamic system responds linearly to an external perturbation, then the amount by which it responds is simply related to the fluctuation properties of the thermodynamic system.
		This theorem is based on fields that are weak relative to the potential of molecular interaction so that rates of relaxation are not affected by the applied field.
	www.nationmaster.com /encyclopedia/Fluctuation-Dissipation-Theorem (388 words)

	Faculty - N. Israeloff
		These vortices must be pinned or nailed down, else they dissipate energy destroying the superconductivity.
		Using novel atomc force microscopy (AFM) techniques, developed in his laboratory, mesoscopic scale (nanometer) fluctuations in dielectric and viscoelastic properties have been observed and are being investigated near the glass transition.
		Nanometer Scale Dielectric Fluctuations at the Glass Transition, E. Vidal Russell, N. Israeloff, L. Walther, H. Gomariz Alvarez, Phys.
	www.physics.neu.edu /faculty/israeloff.html (470 words)

	Abstracts (Site not responding. Last check: 2007-10-18)
		The fluctuations of global variables in out of equilibrium systems are a subject of current investigation ranging from dynamical systems theory to stochastic systems.
		This is the case, for example of the Gallavotti-Cohen Fluctuation Theorem (FT), of the Crooks equality and of the Jarzinsky equality.
		Second, to discuss relevance of this phenotypic fluctuations to evolution, we extend fluctuation-dissipation theorem in physics, to obtain universal relationship between phenotypic and genetic fluctuations.
	denali.phys.uniroma1.it /Pal2004/abstract.html (2759 words)

	The University of Arizona IGERT Biological Physics Teaching Laboratory Course Syllabus
		A first goal is to learn the principles of optical trapping "laser tweezers", used also in other experiments, and to calibrate traps of varying intensity through measurement of Stokes drag on latex beads of varying sizes.
		The fluctuations of those beads within the trap will be compared with results of theoretical calculations using the basic principles of statistical mechanics.
		Observations of Brownian motion in the absence of a trap will be used to determine Avogadro's number from the universal gas constant, along the lines of the original Einstein work on Perrin's results.
	bmpi.web.arizona.edu /603Syllabus.html (1407 words)

	David M. Barnett, Abstracts (Site not responding. Last check: 2007-10-18)
		It shows the Lyapunov exponent to be a function of the time integral of the correlation function for fluctuations in the second derivative of the inter-particle potential (approximately a power 1/3 law).
		We apply the theory to a one component plasma and derive the dependence of the Lyapunov exponent on plasma parameter.
		Such auto-correlations are related to the system's response functions via the fluctuation-dissipation theorem, establishing a link between the Lyapunov exponent and the transport coefficients.
	www.dmbarnett.pwp.blueyonder.co.uk /writings/Abstracts.html (901 words)

	Lunch Seminar (Site not responding. Last check: 2007-10-18)
		It is well known that assuming time traslational invariance (equilibrium regime) the fluctuation-dissipation theorem (FDT)(that relates correlation and response functions) holds.
		I will present field-theoretical and numerical arguments that support a multiplicative generalization of FDT in the off equilibrium regime.
		Surprisingly it has been found that the function that determines multiplicatively the violation of FDT can be computed at equilibrium.
	gesalerico.ft.uam.es /lunchseminars/19990216.html (171 words)

	Noisy nature of atoms
		The find could pave the way for perturbation-free magnetic resonance imaging techniques that are useful in fields like nanotechnology and quantum information science where systems containing only a few atoms are becoming commonplace and their associated magnetic fluctuations play an increasingly dominant role.
		This work, performed at the National High Magnetic Field Laboratory facility at Los Alamos, provides a demonstration of the physical relationship known as the "fluctuation-dissipation theorem," which proposes that it is possible to "listen" very carefully to the tiny, intrinsic thermal or quantum-mechanical fluctuations of a physical system.
		Those fluctuations reveal a number of the properties of that system without having to disturb it from its natural resting state.
	www.physorg.com /news1104.html (561 words)

	Cogprints - Constructive Methods of Invariant Manifolds for Kinetic Problems (Site not responding. Last check: 2007-10-18)
		The systematic use of thermodynamics structures and of the quasi--chemical representation allow to construct approximations which are in concordance with physical restrictions.
		Arnold, V. I., Proof of a theorem of A N Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian.
		Gorban, A. N., Karlin, I. V., Quasi-equilibrium approximation and non-standard expansions in the theory of the Boltzmann kinetic equation, in: Mathematical Modelling in Biology and Chemistry.
	cogprints.org /3087 (3634 words)

	Linear Response, Dynamical Friction and the Fluctuation-Dissipation Theorem in Stellar Dynamics (ResearchIndex) (Site not responding. Last check: 2007-10-18)
		Linear Response, Dynamical Friction and the Fluctuation-Dissipation Theorem in Stellar Dynamics (ResearchIndex)
		Linear Response, Dynamical Friction and the Fluctuation-Dissipation Theorem in Stellar Dynamics
		Assuming only that the response is causal, we show that the irreversible work done by an external perturber is described by the anti-Hermitian part of a linear response operator, and damping of collective modes is described by the anti-Hermitian part of a related polarization operator.
	citeseer.ist.psu.edu /85113.html (248 words)

	SPHINX
		Correspondingly the theory predicts that the usual fluctuation-dissipation relations are no more valid in the "aging" regime and there are substituted by new generalized fluctuation relations as function of this off-equilibrium temperature.
		The connection of Edwards' ensemble with the dynamical FDT temperature immediately suggests experiments to check the validity of these ideas, for example by studying diffusion and mobility of different tracer particles within driven granular media.
		Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses Enzo Marinari, Giorgio Parisi, Federico Ricci-Tersenghi, Juan J. Ruiz-Lorenzo J.
	www.fzu.cz /varia/sphinx/italy.html (3562 words)

	ii_synopses (Site not responding. Last check: 2007-10-18)
		Fluctuations in energy, particle number and volume; Fluctuation-dissipation theorem.
		Scaling Laws in Physics and Elsewhere: Dimensional analysis and the Buckingham P theorem, general pendulum, explosions, drag in fluids, flow past a sphere, Kolmogorov spectrum of turbulence, law of corresponding states.
		The Boltzmann constant is obtained by studying the correlated fluctuations in scattering of laser light from polystyrene spheres dispersed in water.
	www.phy.cam.ac.uk /teaching/ii_synopses.htm (5798 words)

	NYU Physics Physics Colloquia (Site not responding. Last check: 2007-10-18)
		With the relevant length scales of both electrical and mechanical devices reaching into the nanometer-domain, transmission electron microscopy is poised to emerge as a powerful tool for studying the dynamic properties of these new functional devices.
		Potential fluctuations at about the level of 10-5 obey an initial distribution that is close to the n = 1 self-similar case, with amplitudes distributed in a Gaussian random fashion about the mean.
		Structure grows initially via gravitational instabilities with energy feedback from stars and accreting fl holes ("feedback") playing a role that is relatively unimportant for the matter distribution but is dominant for the temperature distribution.
	www.physics.nyu.edu /cgi-bin/colloquia (4716 words)

	Stochastic Dynamics in Irreversible Nonequilibrium Environments. 1. The Fluctuation-Dissipation Relation (Site not responding. Last check: 2007-10-18)
		The friction kernel representing the solvent response is given a non-stationary form with respect to which the instantaneous random solvent force satisfies a natural generalization of the fluctuation-dissipation relation.
		Theoretical considerations, as well as numerical simulations, show that the dynamics of this construction satisfy the equipartition theorem beyond its equilibrium limits.
		DOI URL:: PDF version of this document is available through the permanent link set-up through the International DOI (Digital Object Identifier) Foundation.
	www.chemistry.gatech.edu /rig/pubs/p10a.htm (133 words)

	[No title]
		For systems that are very near thermal equilibrium at temperature T, the well-known fluctuation-dissipation theorem relates a dissipative constant to the temporal fluctuations in the corresponding flux variable.
		We describe experiments in which a liquid crystal dissipates electric power and where this variable strongly fluctuates when the system is in the electroconvective state.
		At the heart of the metallic state is the dissipation inherent in the glassy state.
	www.how-why.com /ucs2003/abstracts.html (7345 words)

	IngentaConnect Fluctuation theorem for stochastic dynamics (Site not responding. Last check: 2007-10-18)
		The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics.
		In such a context all non-trivial ergodic theory issues are bypassed, and the theorem takes a particularly simple form.
		As a particular case, we obtain a nonlinear fluctuation-dissipation theorem valid for equilibrium systems perturbed by arbitrarily strong fields.
	api.ingentaconnect.com /content/iop/jphysa/1998/00000031/00000016/art00003 (113 words)

	UWERN Annual Conference 2000 - Abstracts for oral presentations (Site not responding. Last check: 2007-10-18)
		However, the recirculation within the canyon exhibits unsteady features; in other words, the axis of the recirculation, at which both across-canyon and vertical speed components are zero, oscillates horizontally and vertically.
		Here, we argue that this approach is well-founded for the situation of unorganised convection in radiative-convective equilibrium; such a system satisfies the requirements of a classical statistical mechanical ensemble, and obeys a Boltzmann distribution of mass fluxes.
		We use this result to postulate and test an appropriate form of the Fluctuation-Dissipation theorem of statistical mechanics, which relates the time-scale of spontaneous fluctuations around equilibrium to the time-scale of relaxation towards equilibrium after an external perturbation has been applied.
	www.lec.leeds.ac.uk /uwern/abstracts2000_oral.html (4475 words)

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