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Fluctuation, response, and relaxation: The linear response theory revisited
Author(s) -
Kubo Ryogo
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560220806
Subject(s) - fluctuation dissipation theorem , adiabatic process , ergodic theory , statistical physics , mathematics , phase space , relaxation (psychology) , correlation function (quantum field theory) , distribution (mathematics) , physics , distribution function , zero (linguistics) , microcanonical ensemble , thermodynamics , canonical ensemble , quantum mechanics , mathematical analysis , statistics , psychology , social psychology , linguistics , philosophy , dielectric , monte carlo method
Takahasi's derivation of the fluctuation‐dissipation theorem is reexamined and is generalized to a microcanonical ensemble. Equality of the zero‐frequency susceptibility to the thermodynamic adiabatic susceptibility requires an ergodic condition for the correlation function or equivalently the condition for the phase‐space distribution function to attain a proper equilibrium distribution after a long time when a pulsive disturbance is applied.