Corrfun.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:35:21Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:47:57Z

Rename Arguments section heading to Parameters

Kuprov: Normalise sequential blank lines

2026-04-25T11:23:51Z

Normalise sequential blank lines

Kuprov: /* Arguments */

2021-07-01T10:06:07Z

‎Arguments

Admin at 17:14, 27 December 2018

2018-12-27T17:14:52Z

Admin at 15:49, 8 December 2015

2015-12-08T15:49:18Z

New page

Rotational correlation function, normalized to be the correlation func-
tion between second rank Wigner functions. Syntax:

[weights,rates]=corrfun(spin_system,k,m,p,q)

where the indices k,m,p,q correspond to the four indices found in the
ensemble-averaged Wigner function product:

G=<D2(k,m)'*D2(p,q)>

the function requires spin_system.rlx.tau_c to be either a single cor-
relation time (in which case the isotropic rotational diffusion model
is used) or vector with two correlation times (in which case they are
assumed to be correlation times for rotation around and perpendicular-
ly to the main axis respectively) or vector with three correlation ti-
mes (in which case those are assumed to be the correlation times for
the rotation around the XX, YY and ZZ direction respectively of the
rotational diffusion tensor).

The function returns the weights and decay rates of the individual ex-
ponentials in the correlation function. Note that the decay rates re-
turned are negative numbers.

Note: Wigner function indices are sorted in descending order, that is,
[1 2 3 4 5] in the input maps onto [2 1 0 -1 -2].

@@ Line 49: / Line 49: @@
 ==See also==
-[[relaxation.m]], [[lindbladian.m]], [[rwalk.m]]
+[[relaxation.m]], [[lindbladian.m]], [[rwalk.m]], [[create.m]], [[adelim.m]], [[blinv.m]], [[blprod.m]], [[fdhess.m]], [[fdkup.m]], [[fdlap.m]], [[fdmat.m]], [[fdvec.m]], [[fdweights.m]], [[fpl2phan.m]], [[fpl2rho.m]], [[hydrodynamics.m]], [[interpmat.m]], [[magpump.m]], [[ngce.m]], [[oscillator.m]], [[overwound.m]], [[phan2fpl.m]], [[qxspen_kernel.m]], [[rlx_scalar.m]], [[rlx_split.m]], [[rlx_t1_t2.m]], [[sec2kite.m]], [[spden.m]], [[Kernel_utilities]]
 ''Version 2.3, authors: [[Ilya Kuprov]]''

@@ Line 6: / Line 6: @@
       [weights,rates,states]=corrfun(spin_system,n,k,m,p,q)
-==Arguments==
+==Parameters==
       spin_system  - the output of [[create.m]] to which ro-

@@ Line 50: / Line 50: @@
 ==See also==
 [[relaxation.m]], [[lindbladian.m]], [[rwalk.m]]
 ''Version 2.3, authors: [[Ilya Kuprov]]''

@@ Line 8: / Line 8: @@
 ==Arguments==
-      spin_system - the output of [[create.m]] to which ro-
+      spin_system  - the output of [[create.m]] to which ro-
                      tational correlation time should have
                      been supplied. For a single correlation

@@ Line 1: / Line 1: @@
-Rotational correlation function, normalized to be the correlation func-
+{{DISPLAYTITLE:corrfun.m}} __NOTOC__
-tion between second rank Wigner functions. Syntax:
+Wigner matrix element correlation function under isotropic, axial, and rhombic rotational diffusion.
-              [weights,rates]=corrfun(spin_system,k,m,p,q)
+==Syntax==
-where the indices k,m,p,q correspond to the four indices found in the
+     [weights,rates,states]=corrfun(spin_system,n,k,m,p,q)
-                        G=<D2(k,m)'*D2(p,q)>
+==Arguments==
-the function requires spin_system.rlx.tau_c to be either a single cor-
+     spin_system - the output of [[create.m]] to which ro-
-relation time (in which case the isotropic rotational diffusion model
+                    tational correlation time should have
-is used) or vector with two correlation times (in which case they are
+                    been supplied. For a single correlation
-assumed to be correlation times for rotation around and perpendicular-
+                    time, the isotropic rotational diffusi-
-ly to the main axis respectively) or vector with three correlation ti-
+                    on model is used; a vector with two
-mes (in which case those are assumed to be the correlation times for
+                    correlation times is assumed to be cor-
-the rotation around the XX, YY and ZZ direction respectively of the
+                    relation times for rotation around and
-rotational diffusion tensor).
+                    perpendicularly to the main axis res-
-The function returns the weights and decay rates of the individual ex-
+==Outputs==
-Note: Wigner function indices are sorted in descending order, that is,
+      weights     - a cell array (one element for each che-
-[1 2 3 4 5] in the input maps onto [2 1 0 -1 -2].
+                    mical species) of vectors listing the