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Adam Scaife, Carlo Buontempo, Mark Ringer, Mike Sanderson, Chris Gordon, John Mitchell (2009)
I Toward Seamless Prediction: Calibration of Climate Change Projections Using Seasonal Forecasts
G. Gallavotti (1995)
Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theoremJournal of Statistical Physics, 84
M. Brin, B. Hasselblatt, Y. Pesin (2004)
Modern dynamical systems and applications : dedicated to Anatole Katok on his 60th birthday
R. Zwanzig (1961)
Memory Effects in Irreversible ThermodynamicsPhysical Review, 124
(2007)
Physica D, Nonlinear Phenom
M. Rodwell, T. Palmer (2007)
Using numerical weather prediction to assess climate modelsQuarterly Journal of the Royal Meteorological Society, 133
M. Bellac (2007)
Nonequilibrium statistical mechanicsPhysics Subject Headings (PhySH)
E. Jansen, J. Overpeck, K. Briffa, J. Duplessy, F. Joos, Masson-Delmotte, D. Olago, B. Otto‐Bliesner, W. Peltier, S. Rahmstorf, R. Ramesh, D. Raynud, D. Rind, O. Solomina, R. Villalba, De‐ming Zhang (2007)
The Physical Science Basis
G. Gallavotti (2005)
Stationary nonequilibrium statistical mechanicsarXiv: Statistical Mechanics
T. Palmer, F. Doblas-Reyes, A. Weisheimer, M. Rodwell (2008)
Toward Seamless Prediction: Calibration of Climate Change Projections Using Seasonal ForecastsBulletin of the American Meteorological Society, 89
P. Langen, Vladimir Alexeev (2005)
Estimating 2 × CO2 warming in an aquaplanet GCM using the fluctuation‐dissipation theoremGeophysical Research Letters, 32
G. Gallavotti (2006)
Nonequilibrium Statistical Mechanics (Stationary): Overview
R. Abramov, A. Majda (2008)
New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical SystemsJournal of Nonlinear Science, 18
J. Wouters, V. Lucarini (2011)
Disentangling multi-level systems: averaging, correlations and memoryJournal of Statistical Mechanics: Theory and Experiment, 2012
R. Abramov, A. Majda (2007)
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systemsNonlinearity, 20
V. Lucarini (2007)
Response Theory for Equilibrium and Non-Equilibrium Statistical Mechanics: Causality and Generalized Kramers-Kronig RelationsJournal of Statistical Physics, 131
L. Young (2002)
What Are SRB Measures, and Which Dynamical Systems Have Them?Journal of Statistical Physics, 108
D. Evans, G. Morriss (2008)
Statistical Mechanics of Nonequilibrium Liquids: References
D. Orrell (2003)
Model Error and Predictability over Different Timescales in the Lorenz '96 SystemsJournal of the Atmospheric Sciences, 60
R. Abramov (2011)
Suppression of chaos at slow variables by rapidly mixing fast dynamics through linear energy-preserving couplingCommunications in Mathematical Sciences, 10
R. Abramov, A. Majda, R. Kleeman (2005)
Information theory and predictability for low-frequency variabilityJournal of the Atmospheric Sciences, 62
B. Cessac, J. Sepulchre (2006)
Linear response, susceptibility and resonances in chaotic toy modelsPhysica D: Nonlinear Phenomena, 225
(1997)
Commun
D. Evans, G. Morriss (2008)
Statistical Mechanics of Nonequilibrium Liquids
D. Ruelle (1998)
Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical MechanicsJournal of Statistical Physics, 95
D. Ruelle (1997)
Differentiation of SRB StatesCommunications in Mathematical Physics, 187
V. Lucarini (2011)
Modeling complexity: the case of climate sciencearXiv: History and Philosophy of Physics
P. Imkeller, J. Storch (2001)
Stochastic climate models
C. Reick (2002)
Linear response of the Lorenz system.Physical review. E, Statistical, nonlinear, and soft matter physics, 66 3 Pt 2A
B. Saltzman (2002)
Dynamical Paleoclimatology: Generalized Theory Of Global Climate Change
Fenwick Cooper, Peter Haynes (2011)
Climate Sensitivity via a Nonparametric Fluctuation–Dissipation TheoremJournal of the Atmospheric Sciences, 68
(2011)
Nonlinear Process
D. Ruelle (2009)
A review of linear response theory for general differentiable dynamical systemsNonlinearity, 22
ournal of Statistical Mechanics: Theory Fluctuation-dissipation relation for chaotic non-Hamiltonian systems
H. Mori (1965)
Transport, Collective Motion, and Brownian MotionProgress of Theoretical Physics, 33
D. Ruelle (1998)
Nonequilibrium statistical mechanics near equilibrium: computing higher-order termsNonlinearity, 11
I. Fatkullin, E. Vanden-Eijnden (2004)
A computational strategy for multiscale systems with applications to Lorenz 96 modelJournal of Computational Physics, 200
V. Lucarini, Stefania Sarno (2010)
A statistical mechanical approach for the computation of the climatic response to general forcingsNonlinear Processes in Geophysics, 18
L. Arnold (2001)
Hasselmann’s program revisited: the analysis of stochasticity in deterministic climate models
A. Gritsun, G. Branstator (2007)
Climate Response Using a Three-Dimensional Operator Based on the Fluctuation–Dissipation TheoremJournal of the Atmospheric Sciences, 64
(2004)
Some recent advances in averaging. Modern dynamical systems and applications: dedicated to Anatole
(2005)
Geophys
D. Wilks (2005)
Effects of stochastic parametrizations in the Lorenz '96 systemQuarterly Journal of the Royal Meteorological Society, 131
G. Gallavotti, E. Cohen (1995)
Dynamical ensembles in stationary statesJournal of Statistical Physics, 80
J. Françoise, G. Naber, S. Tsou (2006)
Encyclopedia of Mathematical Physics
M. Ethods, E. Saar (2006)
Multiscale Methods
V. Lucarini (2008)
Evidence of Dispersion Relations for the Nonlinear Response of the Lorenz 63 SystemJournal of Statistical Physics, 134
We consider the problem of deriving approximate autonomous dynamics for a number of variables of a dynamical system, which are weakly coupled to the remaining variables. In a previous paper we have used the Ruelle response theory on such a weakly coupled system to construct a surrogate dynamics, such that the expectation value of any observable agrees, up to second order in the coupling strength, to its expectation evaluated on the full dynamics. We show here that such surrogate dynamics agree up to second order to an expansion of the Mori-Zwanzig projected dynamics. This implies that the parametrizations of unresolved processes suited for prediction and for the representation of long term statistical properties are closely related, if one takes into account, in addition to the widely adopted stochastic forcing, the often neglected memory effects.
Journal of Statistical Physics – Springer Journals
Published: Mar 2, 2013
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