Correlation functions in finite memory-time reservoir theory
- The two-time Green's function and the diagram technique. Plakida, N. // Theoretical & Mathematical Physics;Sep2011, Vol. 168 Issue 3, p1303
Based on constructing the equations of motion for the two-time Green's functions, we discuss calculating the dynamical spin susceptibility and correlation functions in the Heisenberg model. Using a Mori-type projection, we derive an exact Dyson equation with the self-energy operator in the form...
- Reduced hierarchy equations of motion approach with Drude plus Brownian spectral distribution: Probing electron transfer processes by means of two-dimensional correlation spectroscopy. Tanimura, Yoshitaka // Journal of Chemical Physics;12/14/2012, Vol. 137 Issue 22, p22A550
We theoretically investigate an electron transfer (ET) process in a dissipative environment by means of two-dimensional (2D) correlation spectroscopy. We extend the reduced hierarchy equations of motion approach to include both overdamped Drude and underdamped Brownian modes. While the...
- Markovian dissipative coarse grained molecular dynamics for a simple 2D graphene model. Kauzlaric, David; Español, Pep; Greiner, Andreas; Succi, Sauro // Journal of Chemical Physics;12/21/2012, Vol. 137 Issue 23, p234103
Based upon a finite-element 'coarse-grained molecular dynamics' (CGMD) procedure, as applied to a simple atomistic 2D model of graphene, we formulate a new coarse-grained model for graphene mechanics explicitly accounting for dissipative effects. It is shown that, within the Mori-projection...
- Explicitly correlated equation-of-motion coupled-cluster methods for excited and electron-attached states. Bokhan, Denis; Ten-no, Seiichiro // Journal of Chemical Physics;11/28/2010, Vol. 133 Issue 20, p204103
Based on the linearly approximated F12 coupled cluster singles and doubles [CCSD(F12)] model, equation-of-motion [EOM-CCSD(F12)] methods for electron affinities (EAs) and excitation energies (EEs) have been formulated and implemented. Extended electron-attachment and excitation operators are...
- Path integral hybrid Monte Carlo algorithm for correlated Bose fluids. Miura, Shinichi; Tanaka, Junji // Journal of Chemical Physics;2/1/2004, Vol. 120 Issue 5, p2160
Path integral hybrid Monte Carlo (PIHMC) algorithm for strongly correlated Bose fluids has been developed. This is an extended version of our previous method [S. Miura and S. Okazaki, Chem. Phys. Lett. 308, 115 (1999)] applied to a model system consisting of noninteracting bosons. Our PIHMC...
- Randomization test for linear correlation/regression. Nelson, Lloyd S. // Journal of Quality Technology;Jul97, Vol. 29 Issue 3, p354
Presents a randomization test for linear correlation and regression. Three different applications for tests of generally associated variables by engineers; Conversion of Pearson's test into a randomization test; Definitions of correlation and regression.
- Calculating correlation coefficients with repeated observations: Part 2--correlation between... Bland, J. Martin; Altman, Douglas G. // BMJ: British Medical Journal (International Edition);3/11/95, Vol. 310 Issue 6980, p633
Part II. Presents the actual formula for weighed correlation coefficient. Replacing individual observation by its subject mean.
- Negative is not always positive. Sanduski, Steven F. // Financial Planning;Feb98, Vol. 28 Issue 2, p75
Tackles the real definition of negative correlation. Asset covariance as the basis of modern portfolio theory; Graphical plotting of the annual returns of Standard & Poor's 500; Comparison of two hypothetical portfolios; Application of negative correlation in financial planning.
- Correlations. Connelly, Lynne M. // MEDSURG Nursing;May/Jun2012, Vol. 21 Issue 3, p171
The article offers information on correlations of variables. It refers to a study in the issue by Massey, which used Pearson's correlation coefficient, most commonly known as Pearson's r. It discusses the importance of significance level in correlation, which indicates its reliability. It also...