scholarly journals The time-dependent correlation function of the Jordan–Wigner operator as a Fredholm determinant

2009 ◽  
Vol 2009 (07) ◽  
pp. P07035 ◽  
Author(s):  
M B Zvonarev ◽  
V V Cheianov ◽  
T Giamarchi
Keyword(s):  
Correlation Function ◽  
Fredholm Determinant ◽  
Time Dependent ◽  
Wigner Operator ◽  
Dependent Correlation

TIME-DEPENDENT CRITICAL PROPERTIES FROM “DAMAGE SPREADING”

Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 722-726
Author(s):  
NAEEM JAN
Keyword(s):  
Correlation Function ◽  
Scaling Function ◽  
Direct Determination ◽  
Ising Models ◽  
Time Dependent ◽  
Critical Properties ◽  
Damage Spreading ◽  
Exact Relations ◽  
Dependent Correlation

“Damage spreading” is a useful tool for determining equilibrium thermal properties from Monte Carlo simulations of Ising models. Formal exact relations relate static equilibrium properties, e.g. the correlation function, to the equilibrium damage. Similar exact relations also relate the time-dependent correlation function to the time-dependent damage. However, some results such as the direct determination of the characteristic time, τ, from damage spreading appear to be at odds with that reported in the literature by more traditional models. We show that some of these discrepancies, but not all, may be resolved by taking the appropriate scaling function into account.

scholarly journals Vibrationally resolved optical spectra of modified diamondoids obtained from time-dependent correlation function methods

2015 ◽  
Vol 17 (29) ◽  
pp. 19656-19669 ◽  
Author(s):  
Shiladitya Banerjee ◽  
Tony Stüker ◽  
Peter Saalfrank
Keyword(s):  
Correlation Function ◽  
Optical Spectroscopy ◽  
Optical Spectra ◽  
Time Dependent ◽  
Dependent Correlation

Time-dependent correlation function-based optical spectroscopy is systematically used to investigate the effects of substitution on pristine diamondoids.

The influence of spin–orbit coupling, Duschinsky rotation and displacement vector on the rate of intersystem crossing of benzophenone and its fused analog fluorenone: a time dependent correlation function based approach

2020 ◽  
Vol 22 (42) ◽  
pp. 24399-24409
Author(s):  
Pijush Karak ◽  
Swapan Chakrabarti
Keyword(s):  
Correlation Function ◽  
Displacement Vector ◽  
Orbit Coupling ◽  
Time Dependent ◽  
Intersystem Crossing ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Complex Combination ◽  
Dependent Correlation ◽  
Mode Mixing

A time dependent correlation function based study reveals that the rate of intersystem crossing of benzophenone and its fused analog, fluorenone is governed by a complex combination of spin–orbit coupling, displacements and Duschinsky mode mixing.

Green–Kubo Formulae for a Plasma in an External Magnetic Field

1974 ◽  
Vol 52 (6) ◽  
pp. 516-522 ◽  
Author(s):  
P. B. Corkum ◽  
J. A. McLennan
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
External Magnetic Field ◽  
Correlation Functions ◽  
Perturbation Technique ◽  
Transport Coefficients ◽  
Time Dependent ◽  
Hydrodynamic Modes ◽  
Space And Time ◽  
Dependent Correlation

The relation between linearized magnetohydrodynamics and the space and time dependent correlation functions of a plasma in an external magnetic field is derived. The method used is a perturbation technique based on the assumption that the correlation functions can be decomposed into a slow, hydrodynamic, and a rapid, microscopic, part. Using this method, the hydrodynamic modes are determined, and the description of magnetohydrodynamics found in this manner is assumed to be identical to regular magnetohydrodynamics. The resulting correspondence yields a set of correlation function expressions for the transport coefficients and magnetohydrodynamic modes.

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