EPL (Europhysics Letters), ISSN 0295-5075, 01/2010, Volume 89, Issue 1, p. 10007

In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this...

LINEAR-RESPONSE | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | 2ND LAW | SMALL SYSTEMS | EQUILIBRIUM | EQUALITY | PHYSICS | VIOLATIONS | Conjugates | Additives | Correlation | Splitting | Theorems | Fluctuation | Entropy | Perturbation | Steady state

LINEAR-RESPONSE | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | 2ND LAW | SMALL SYSTEMS | EQUILIBRIUM | EQUALITY | PHYSICS | VIOLATIONS | Conjugates | Additives | Correlation | Splitting | Theorems | Fluctuation | Entropy | Perturbation | Steady state

Journal Article

Journal of Chemical Theory and Computation, ISSN 1549-9618, 10/2011, Volume 7, Issue 10, pp. 3116 - 3130

We explore several random phase approximation (RPA) correlation energy variants within the adiabatic-connection fluctuation–dissipation theorem approach. These...

Quantum Electronic Structure | EXCHANGE-CORRELATION POTENTIALS | ATOMIC IONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | METALLIC SURFACE | STATE CORRELATION ENERGIES | RANDOM-PHASE-APPROXIMATION | GENERALIZED GRADIENT APPROXIMATION | BASIS-SET CONVERGENCE | RANGE | or physical chemistry | Computational Physics | Chemical Physics | Chemical Sciences | Physics | Theoretical and

Quantum Electronic Structure | EXCHANGE-CORRELATION POTENTIALS | ATOMIC IONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | METALLIC SURFACE | STATE CORRELATION ENERGIES | RANDOM-PHASE-APPROXIMATION | GENERALIZED GRADIENT APPROXIMATION | BASIS-SET CONVERGENCE | RANGE | or physical chemistry | Computational Physics | Chemical Physics | Chemical Sciences | Physics | Theoretical and

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 2/2014, Volume 154, Issue 3, pp. 705 - 722

Baths produce friction and random forcing on particles suspended in them. The relation between noise and friction in (generalized) Langevin equations is...

Active medium | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Fluctuation–dissipation theorem | Nonequilibrium reduced dynamics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Fluctuation-dissipation theorem | BROWNIAN-MOTION | THERMODYNAMICS | FLUID | HYDRODYNAMICS | FORCES | TEMPERATURE-GRADIENT | FAST VARIABLES | PHYSICS, MATHEMATICAL | FLOW | Physics - Statistical Mechanics

Active medium | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Fluctuation–dissipation theorem | Nonequilibrium reduced dynamics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Fluctuation-dissipation theorem | BROWNIAN-MOTION | THERMODYNAMICS | FLUID | HYDRODYNAMICS | FORCES | TEMPERATURE-GRADIENT | FAST VARIABLES | PHYSICS, MATHEMATICAL | FLOW | Physics - Statistical Mechanics

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 10/2018, Volume 852, p. R3

A data-driven model-free framework is introduced for the calculation of reduced-order models (ROMs) capable of accurately predicting time-mean responses to...

turbulent convection | nonlinear dynamical systems | low-dimensional models | PERTURBATIONS | PHYSICS, FLUIDS & PLASMAS | CLIMATE RESPONSE | DECOMPOSITION | SPECTRAL PROPERTIES | MECHANICS | TEMPERATURE | REDUCTION | SYSTEMS | LINEAR-RESPONSE FUNCTION | FLOWS | KOOPMAN OPERATOR | Theorems | Turbulent flow | Basis functions | Direct numerical simulation | Partial differential equations | Methodology | Decomposition | Convection | Climate science | State vectors | Accuracy | Energy dissipation | Modelling | Mathematical models | Framework | Modes | Fluid dynamics | Computer simulation | Computational fluid dynamics | Data | Reduced order models | Proper Orthogonal Decomposition | Numerical analysis | Ordinary differential equations | Variation

turbulent convection | nonlinear dynamical systems | low-dimensional models | PERTURBATIONS | PHYSICS, FLUIDS & PLASMAS | CLIMATE RESPONSE | DECOMPOSITION | SPECTRAL PROPERTIES | MECHANICS | TEMPERATURE | REDUCTION | SYSTEMS | LINEAR-RESPONSE FUNCTION | FLOWS | KOOPMAN OPERATOR | Theorems | Turbulent flow | Basis functions | Direct numerical simulation | Partial differential equations | Methodology | Decomposition | Convection | Climate science | State vectors | Accuracy | Energy dissipation | Modelling | Mathematical models | Framework | Modes | Fluid dynamics | Computer simulation | Computational fluid dynamics | Data | Reduced order models | Proper Orthogonal Decomposition | Numerical analysis | Ordinary differential equations | Variation

Journal Article

Journal of the Atmospheric Sciences, ISSN 0022-4928, 05/2011, Volume 68, Issue 5, pp. 937 - 953

The fluctuation-dissipation theorem (FDT) has been suggested as a method of calculating the response of the climate system to a small change in an external...

Climate sensitivity | Forcing | Probability forecasts/models | Statistical techniques | METEOROLOGY & ATMOSPHERIC SCIENCES | DYNAMICAL-SYSTEMS | LINEAR-RESPONSE FORMULA | Atmospheric circulation | Research | Fluctuations (Physics) | Studies | Mathematical problems | Meteorology

Climate sensitivity | Forcing | Probability forecasts/models | Statistical techniques | METEOROLOGY & ATMOSPHERIC SCIENCES | DYNAMICAL-SYSTEMS | LINEAR-RESPONSE FORMULA | Atmospheric circulation | Research | Fluctuations (Physics) | Studies | Mathematical problems | Meteorology

Journal Article

Contemporary Physics, ISSN 0010-7514, 07/2017, Volume 58, Issue 3, pp. 244 - 252

A system in equilibrium will in general exhibit microscopic fluctuations about the equilibrium state. The fluctuation-dissipation theorem relates the spectrum...

Quantum statistical mechanics | quantum noise | NOISE | PHYSICS, MULTIDISCIPLINARY | IRREVERSIBLE-PROCESSES | Theorems | Fluctuations | Electric charge | Circuits | Dissipation | Equilibrium | Continuity (mathematics)

Quantum statistical mechanics | quantum noise | NOISE | PHYSICS, MULTIDISCIPLINARY | IRREVERSIBLE-PROCESSES | Theorems | Fluctuations | Electric charge | Circuits | Dissipation | Equilibrium | Continuity (mathematics)

Journal Article

Physical Review Letters, ISSN 0031-9007, 08/2009, Volume 103, Issue 9, p. 090601

The fluctuation-dissipation theorem is a central result of statistical physics, which applies to any system at thermodynamic equilibrium. Its violation is a...

PHYSICS, MULTIDISCIPLINARY

PHYSICS, MULTIDISCIPLINARY

Journal Article

JOURNAL OF CHEMICAL THEORY AND COMPUTATION, ISSN 1549-9618, 05/2019, Volume 15, Issue 5, pp. 2863 - 2880

Quantum thermal bath (QTB) simulations reproduce statistical nuclear quantum effects via a Langevin equation with a colored random force. Although this...

DYNAMICS | CHEMISTRY, PHYSICAL | STATISTICAL-MECHANICS | TIME-CORRELATION-FUNCTIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Leakage | Adaptive systems | Theorems | Computer simulation | Aluminum | Thermal baths | Criteria | Liquid-solid transition | Phase transitions | Coupling coefficients | Thermal simulation | Quantum phenomena | Organic chemistry | Neon | Simulation | Condensed matter | Energy dissipation | Solid phases | or physical chemistry | Chemical Sciences | Theoretical and

DYNAMICS | CHEMISTRY, PHYSICAL | STATISTICAL-MECHANICS | TIME-CORRELATION-FUNCTIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Leakage | Adaptive systems | Theorems | Computer simulation | Aluminum | Thermal baths | Criteria | Liquid-solid transition | Phase transitions | Coupling coefficients | Thermal simulation | Quantum phenomena | Organic chemistry | Neon | Simulation | Condensed matter | Energy dissipation | Solid phases | or physical chemistry | Chemical Sciences | Theoretical and

Journal Article

Engineering Structures, ISSN 0141-0296, 07/2018, Volume 167, pp. 65 - 73

•Analysis of the damping in continuous beams-like structures (laboratory scale) and civil engineering structures (real scale).•Observation of the damping...

Laboratory tests | Fluctuation–dissipation | Civil engineering structure | Prefecture nice | Grenoble City Hall | Factor building | Damping ratio | LOCALIZATION | SLOW DYNAMICS | RELAXATION | MODEL | IDENTIFICATION | Fluctuation-dissipation | WEAK | ENGINEERING, CIVIL | FREQUENCY | EARTHQUAKE | BUILDINGS | Proxy | Analysis

Laboratory tests | Fluctuation–dissipation | Civil engineering structure | Prefecture nice | Grenoble City Hall | Factor building | Damping ratio | LOCALIZATION | SLOW DYNAMICS | RELAXATION | MODEL | IDENTIFICATION | Fluctuation-dissipation | WEAK | ENGINEERING, CIVIL | FREQUENCY | EARTHQUAKE | BUILDINGS | Proxy | Analysis

Journal Article

10.
Full Text
Low-frequency climate response and fluctuation-dissipation theorems: Theory and practice

Journal of the Atmospheric Sciences, ISSN 0022-4928, 04/2010, Volume 67, Issue 4, pp. 1186 - 1201

The low-frequency response to changes in external forcing or other parameters for various components of the climate system is a central problem of contemporary...

PLANETARY WAVE DYNAMICS | GCM | PERSPECTIVE | STOCHASTIC MODE REDUCTION | NONLINEAR SIGNATURES | PHASE-SPACE TENDENCIES | SYSTEMS | TIME | METEOROLOGY & ATMOSPHERIC SCIENCES | GENERAL-CIRCULATION MODEL | PREDICTION | Environmental aspects | Atmospheric physics | Climatic changes | Research | Observations | Studies | Variables | General circulation models | Theory | Approximations | Stochastic models | Methods | Climate change | Climate | Theorems | Approximation | Skills | Mathematical analysis | Regression | Mathematical models

PLANETARY WAVE DYNAMICS | GCM | PERSPECTIVE | STOCHASTIC MODE REDUCTION | NONLINEAR SIGNATURES | PHASE-SPACE TENDENCIES | SYSTEMS | TIME | METEOROLOGY & ATMOSPHERIC SCIENCES | GENERAL-CIRCULATION MODEL | PREDICTION | Environmental aspects | Atmospheric physics | Climatic changes | Research | Observations | Studies | Variables | General circulation models | Theory | Approximations | Stochastic models | Methods | Climate change | Climate | Theorems | Approximation | Skills | Mathematical analysis | Regression | Mathematical models

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2019, Volume 530, p. 121577

We rederive the Nyquist theorem and Callen–Welton fluctuation dissipation theorem as a consequence of detailed balance principle applied to a harmonic...

Nyquist theorem | Fluctuations | Oscillator | Callen–Welton fluctuation dissipation theorem | Callen-Welton fluctuation dissipation theorem | PHYSICS, MULTIDISCIPLINARY

Nyquist theorem | Fluctuations | Oscillator | Callen–Welton fluctuation dissipation theorem | Callen-Welton fluctuation dissipation theorem | PHYSICS, MULTIDISCIPLINARY

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 12/2013, Volume 139, Issue 22, p. 224109

The Fluctuation-Dissipation theorem (FDT) connects the "memory" in the fluctuation in equilibrium to the response of a system after a perturbation, which has...

NONEQUILIBRIUM STEADY-STATES | SINGLE-CELL | RESPONSES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NOISE | NETWORKS | SIMULATION | FLUORESCENCE CORRELATION SPECTROSCOPY | SACCHAROMYCES-CEREVISIAE | EXPRESSION | EQUATION | Probability | Linear Models | Kinetics | Models, Chemical | Stochastic Processes | Nonlinear Dynamics | Dynamic response | Theorems | Energy dissipation | Response functions | Gene expression | Variation | Steady state | RESPONSE FUNCTIONS | DISTURBANCES | FLUCTUATIONS | KINETICS | EQUILIBRIUM | POTENTIALS | MATHEMATICAL METHODS AND COMPUTING

NONEQUILIBRIUM STEADY-STATES | SINGLE-CELL | RESPONSES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NOISE | NETWORKS | SIMULATION | FLUORESCENCE CORRELATION SPECTROSCOPY | SACCHAROMYCES-CEREVISIAE | EXPRESSION | EQUATION | Probability | Linear Models | Kinetics | Models, Chemical | Stochastic Processes | Nonlinear Dynamics | Dynamic response | Theorems | Energy dissipation | Response functions | Gene expression | Variation | Steady state | RESPONSE FUNCTIONS | DISTURBANCES | FLUCTUATIONS | KINETICS | EQUILIBRIUM | POTENTIALS | MATHEMATICAL METHODS AND COMPUTING

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 04/2005, Volume 122, Issue 16, p. 164106

Using the fluctuation-dissipation theorem (FDT) in the context of density-functional theory (DFT), one can derive an exact expression for the ground-state...

DIATOMIC-MOLECULES | EXCHANGE-CORRELATION ENERGY | NOBLE-GASES | ELECTRON-GAS | EXCITATION-ENERGIES | APPROXIMATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CORRELATED CALCULATIONS | CHEMISTRY, PHYSICAL | FREQUENCY-DEPENDENT POLARIZABILITIES | VAN-DER-WAALS | BASIS-SET CONVERGENCE

DIATOMIC-MOLECULES | EXCHANGE-CORRELATION ENERGY | NOBLE-GASES | ELECTRON-GAS | EXCITATION-ENERGIES | APPROXIMATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CORRELATED CALCULATIONS | CHEMISTRY, PHYSICAL | FREQUENCY-DEPENDENT POLARIZABILITIES | VAN-DER-WAALS | BASIS-SET CONVERGENCE

Journal Article

Physical Review Letters, ISSN 0031-9007, 04/2014, Volume 112, Issue 14, p. 140602

We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the...

PHYSICS, MULTIDISCIPLINARY | DYNAMICS | SYSTEMS | Physics - Statistical Mechanics

PHYSICS, MULTIDISCIPLINARY | DYNAMICS | SYSTEMS | Physics - Statistical Mechanics

Journal Article

Journal of the Atmospheric Sciences, ISSN 0022-4928, 2008, Volume 65, Issue 12, pp. 3880 - 3898

Following on their previous work, in which they found the annular modes to be a preferred response of a simplified general circulation model atmosphere to a...

OSCILLATION PATTERN-ANALYSIS | VARIABILITY | ARCTIC OSCILLATION | TROPOSPHERE | SOUTHERN-HEMISPHERE | STRATOSPHERE | METEOROLOGY & ATMOSPHERIC SCIENCES | GENERAL-CIRCULATION MODEL | HEMISPHERE CLIMATE-CHANGE | ZONAL FLOW FEEDBACK | ATMOSPHERE | Atmospheric circulation | Evaluation | Theorems (Mathematics) | Models | Fluctuations (Physics) | Dynamical systems | Atmosphere | Meteorology

OSCILLATION PATTERN-ANALYSIS | VARIABILITY | ARCTIC OSCILLATION | TROPOSPHERE | SOUTHERN-HEMISPHERE | STRATOSPHERE | METEOROLOGY & ATMOSPHERIC SCIENCES | GENERAL-CIRCULATION MODEL | HEMISPHERE CLIMATE-CHANGE | ZONAL FLOW FEEDBACK | ATMOSPHERE | Atmospheric circulation | Evaluation | Theorems (Mathematics) | Models | Fluctuations (Physics) | Dynamical systems | Atmosphere | Meteorology

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 10/2015, Volume 30, Issue 32, p. 1550163

Using the closed time path formalism in thermal field theory, we give a derivation of the fluctuation–dissipation (FD) theorem which is based on the unitarity...

unitarity of S-matrix | fluctuation-dissipation theorem | Thermal field theory | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

unitarity of S-matrix | fluctuation-dissipation theorem | Thermal field theory | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of the Atmospheric Sciences, ISSN 0022-4928, 2015, Volume 72, Issue 8, pp. 3161 - 3177

The fluctuation-dissipation theorem (FDT) provides a means of calculating the response of a dynamical system to a small force by constructing a linear operator...

Nonlinear dynamics | Empirical orthogonal functions | Dynamics | Large-scale motions | Storm tracks | FORCINGS | PERSISTENCE | CLIMATE RESPONSE | SENSITIVITY | STATE | METEOROLOGY & ATMOSPHERIC SCIENCES | FEEDBACK | Environmental aspects | Storms | Complex systems | Analysis | Functions, Orthogonal | Climate change | Accuracy | Turbulence | Meteorology | Climate science | Construction | Theorems | Fluctuation | Mathematical models | Estimates | Dynamical systems | Atmospherics | Linear operators

Nonlinear dynamics | Empirical orthogonal functions | Dynamics | Large-scale motions | Storm tracks | FORCINGS | PERSISTENCE | CLIMATE RESPONSE | SENSITIVITY | STATE | METEOROLOGY & ATMOSPHERIC SCIENCES | FEEDBACK | Environmental aspects | Storms | Complex systems | Analysis | Functions, Orthogonal | Climate change | Accuracy | Turbulence | Meteorology | Climate science | Construction | Theorems | Fluctuation | Mathematical models | Estimates | Dynamical systems | Atmospherics | Linear operators

Journal Article

Journal of the Atmospheric Sciences, ISSN 0022-4928, 11/2018, Volume 75, Issue 11, pp. 3843 - 3860

Many subgrid-scale (SGS) parameterizations in climate models contain empirical parameters and are thus data dependent. In particular, it is not guaranteed that...

Empirical orthogonal functions | Stochastic models | Parameterization | Subgrid-scale processes | STOCHASTIC MODE REDUCTION | PART II | SEASONAL CYCLE | 2-LAYER MODEL | LOW-ORDER MODELS | PRINCIPAL INTERACTION PATTERNS | DYNAMICAL-SYSTEMS | QUASI-GEOSTROPHIC MODEL | RESPONSE THEORY | METEOROLOGY & ATMOSPHERIC SCIENCES | ATMOSPHERIC MODELS

Empirical orthogonal functions | Stochastic models | Parameterization | Subgrid-scale processes | STOCHASTIC MODE REDUCTION | PART II | SEASONAL CYCLE | 2-LAYER MODEL | LOW-ORDER MODELS | PRINCIPAL INTERACTION PATTERNS | DYNAMICAL-SYSTEMS | QUASI-GEOSTROPHIC MODEL | RESPONSE THEORY | METEOROLOGY & ATMOSPHERIC SCIENCES | ATMOSPHERIC MODELS

Journal Article

EPL, ISSN 0295-5075, 07/2016, Volume 115, Issue 2, pp. 20004 - 20004

We present a fluctuation-dissipation theorem (FDT) for nonequilibrium quantum systems with detailed-balance breaking, which deviates from the conventional form...

STATES | PHYSICS, MULTIDISCIPLINARY | LANDSCAPE | STATISTICS | JUNCTIONS | FLUX | NETWORKS | OSCILLATIONS | COHERENCE | ELECTRON-TRANSPORT | Theorems | Perturbation methods | Breaking | Fluctuation | Flux | Formalism | Steady state | Quantum theory

STATES | PHYSICS, MULTIDISCIPLINARY | LANDSCAPE | STATISTICS | JUNCTIONS | FLUX | NETWORKS | OSCILLATIONS | COHERENCE | ELECTRON-TRANSPORT | Theorems | Perturbation methods | Breaking | Fluctuation | Flux | Formalism | Steady state | Quantum theory

Journal Article

Physics Reports, ISSN 0370-1573, 2008, Volume 461, Issue 4, pp. 111 - 195

General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of...

Large deviations | Correlation functions | Fluctuation relations | Nonequilibrium phenomena | large deviations | TRANSPORT-COEFFICIENTS | nonequilibrium phenomena | LINEAR-RESPONSE | MOLECULAR-DYNAMICS | PHYSICS, MULTIDISCIPLINARY | correlation functions | HOMOGENEOUS COOLING STATE | ANOMALOUS DIFFUSION | TIME-CORRELATION-FUNCTIONS | STEADY-STATE | LARGE DEVIATION | IRREVERSIBLE-PROCESSES | fluctuation relations | ENSEMBLES EQUIVALENCE

Large deviations | Correlation functions | Fluctuation relations | Nonequilibrium phenomena | large deviations | TRANSPORT-COEFFICIENTS | nonequilibrium phenomena | LINEAR-RESPONSE | MOLECULAR-DYNAMICS | PHYSICS, MULTIDISCIPLINARY | correlation functions | HOMOGENEOUS COOLING STATE | ANOMALOUS DIFFUSION | TIME-CORRELATION-FUNCTIONS | STEADY-STATE | LARGE DEVIATION | IRREVERSIBLE-PROCESSES | fluctuation relations | ENSEMBLES EQUIVALENCE

Journal Article