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gmx-analyze - Analyze data sets


gmx analyze [-f [<.xvg>]] [-ac [<.xvg>]] [-msd [<.xvg>]] [-cc [<.xvg>]]
[-dist [<.xvg>]] [-av [<.xvg>]] [-ee [<.xvg>]]
[-bal [<.xvg>]] [-fitted [<.xvg>]] [-g [<.log>]] [-[no]w]
[-xvg <enum>] [-[no]time] [-b <real>] [-e <real>]
[-n <int>] [-[no]d] [-bw <real>] [-errbar <enum>]
[-[no]integrate] [-aver_start <real>] [-[no]xydy]
[-[no]regression] [-[no]luzar] [-temp <real>]
[-fitstart <real>] [-fitend <real>] [-filter <real>]
[-[no]power] [-[no]subav] [-[no]oneacf] [-acflen <int>]
[-[no]normalize] [-P <enum>] [-fitfn <enum>]
[-beginfit <real>] [-endfit <real>]


gmx analyze reads an ASCII file and analyzes data sets. A line in the input file may
start with a time (see option -time) and any number of y-values may follow. Multiple sets
can also be read when they are separated by & (option -n); in this case only one y-value
is read from each line. All lines starting with # and @ are skipped. All analyses can
also be done for the derivative of a set (option -d).

All options, except for -av and -power, assume that the points are equidistant in time.

gmx analyze always shows the average and standard deviation of each set, as well as the
relative deviation of the third and fourth cumulant from those of a Gaussian distribution
with the same standard deviation.

Option -ac produces the autocorrelation function(s). Be sure that the time interval
between data points is much shorter than the time scale of the autocorrelation.

Option -cc plots the resemblance of set i with a cosine of i/2 periods. The formula is:

2 (integral from 0 to T of y(t) cos(i pi t) dt)^2 / integral from 0 to T of y^2(t) dt

This is useful for principal components obtained from covariance analysis, since the
principal components of random diffusion are pure cosines.

Option -msd produces the mean square displacement(s).

Option -dist produces distribution plot(s).

Option -av produces the average over the sets. Error bars can be added with the option
-errbar. The errorbars can represent the standard deviation, the error (assuming the
points are independent) or the interval containing 90% of the points, by discarding 5% of
the points at the top and the bottom.

Option -ee produces error estimates using block averaging. A set is divided in a number
of blocks and averages are calculated for each block. The error for the total average is
calculated from the variance between averages of the m blocks B_i as follows: error^2 =
sum (B_i - <B>)^2 / (m*(m-1)). These errors are plotted as a function of the block size.
Also an analytical block average curve is plotted, assuming that the autocorrelation is a
sum of two exponentials. The analytical curve for the block average is:

f(t) = sigma``*``sqrt(2/T ( alpha (tau_1 ((exp(-t/tau_1) - 1) tau_1/t + 1)) +
(1-alpha) (tau_2 ((exp(-t/tau_2) - 1) tau_2/t + 1)))),

where T is the total time. alpha, tau_1 and tau_2 are obtained by fitting f^2(t) to
error^2. When the actual block average is very close to the analytical curve, the error
is sigma``*``sqrt(2/T (a tau_1 + (1-a) tau_2)). The complete derivation is given in B.
Hess, J. Chem. Phys. 116:209-217, 2002.

Option -bal finds and subtracts the ultrafast "ballistic" component from a hydrogen bond
autocorrelation function by the fitting of a sum of exponentials, as described in e.g. O.
Markovitch, J. Chem. Phys. 129:084505, 2008. The fastest term is the one with the most
negative coefficient in the exponential, or with -d, the one with most negative time
derivative at time 0. -nbalexp sets the number of exponentials to fit.

Option -gem fits bimolecular rate constants ka and kb (and optionally kD) to the hydrogen
bond autocorrelation function according to the reversible geminate recombination model.
Removal of the ballistic component first is strongly advised. The model is presented in O.
Markovitch, J. Chem. Phys. 129:084505, 2008.

Option -filter prints the RMS high-frequency fluctuation of each set and over all sets
with respect to a filtered average. The filter is proportional to cos(pi t/len) where t
goes from -len/2 to len/2. len is supplied with the option -filter. This filter reduces
oscillations with period len/2 and len by a factor of 0.79 and 0.33 respectively.

Option -g fits the data to the function given with option -fitfn.

Option -power fits the data to b t^a, which is accomplished by fitting to a t + b on
log-log scale. All points after the first zero or with a negative value are ignored.

Option -luzar performs a Luzar & Chandler kinetics analysis on output from gmx hbond. The
input file can be taken directly from gmx hbond -ac, and then the same result should be

Option -fitfn performs curve fitting to a number of different curves that make sense in
the context of molecular dynamics, mainly exponential curves. More information is in the
manual. To check the output of the fitting procedure the option -fitted will print both
the original data and the fitted function to a new data file. The fitting parameters are
stored as comment in the output file.


Options to specify input files:

-f [<.xvg>] (graph.xvg)
xvgr/xmgr file

Options to specify output files:

-ac [<.xvg>] (autocorr.xvg) (Optional)
xvgr/xmgr file

-msd [<.xvg>] (msd.xvg) (Optional)
xvgr/xmgr file

-cc [<.xvg>] (coscont.xvg) (Optional)
xvgr/xmgr file

-dist [<.xvg>] (distr.xvg) (Optional)
xvgr/xmgr file

-av [<.xvg>] (average.xvg) (Optional)
xvgr/xmgr file

-ee [<.xvg>] (errest.xvg) (Optional)
xvgr/xmgr file

-bal [<.xvg>] (ballisitc.xvg) (Optional)
xvgr/xmgr file

-fitted [<.xvg>] (fitted.xvg) (Optional)
xvgr/xmgr file

-g [<.log>] (fitlog.log) (Optional)
Log file

Other options:

-[no]w (no)
View output .xvg, .xpm, .eps and .pdb files

-xvg <enum>
xvg plot formatting: xmgrace, xmgr, none

-[no]time (yes)
Expect a time in the input

-b <real> (-1)
First time to read from set

-e <real> (-1)
Last time to read from set

-n <int> (1)
Read this number of sets separated by &

-[no]d (no)
Use the derivative

-bw <real> (0.1)
Binwidth for the distribution

-errbar <enum> (none)
Error bars for -av: none, stddev, error, 90

-[no]integrate (no)
Integrate data function(s) numerically using trapezium rule

-aver_start <real> (0)
Start averaging the integral from here

-[no]xydy (no)
Interpret second data set as error in the y values for integrating

-[no]regression (no)
Perform a linear regression analysis on the data. If -xydy is set a second set will
be interpreted as the error bar in the Y value. Otherwise, if multiple data sets
are present a multilinear regression will be performed yielding the constant A that
minimize chi^2 = (y - A_0 x_0 - A_1 x_1 - ... - A_N x_N)^2 where now Y is the first
data set in the input file and x_i the others. Do read the information at the
option -time.

-[no]luzar (no)
Do a Luzar and Chandler analysis on a correlation function and related as produced
by gmx hbond. When in addition the -xydy flag is given the second and fourth column
will be interpreted as errors in c(t) and n(t).

-temp <real> (298.15)
Temperature for the Luzar hydrogen bonding kinetics analysis (K)

-fitstart <real> (1)
Time (ps) from which to start fitting the correlation functions in order to obtain
the forward and backward rate constants for HB breaking and formation

-fitend <real> (60)
Time (ps) where to stop fitting the correlation functions in order to obtain the
forward and backward rate constants for HB breaking and formation. Only with -gem

-filter <real> (0)
Print the high-frequency fluctuation after filtering with a cosine filter of this

-[no]power (no)
Fit data to: b t^a

-[no]subav (yes)
Subtract the average before autocorrelating

-[no]oneacf (no)
Calculate one ACF over all sets

-acflen <int> (-1)
Length of the ACF, default is half the number of frames

-[no]normalize (yes)
Normalize ACF

-P <enum> (0)
Order of Legendre polynomial for ACF (0 indicates none): 0, 1, 2, 3

-fitfn <enum> (none)
Fit function: none, exp, aexp, exp_exp, exp5, exp7, exp9

-beginfit <real> (0)
Time where to begin the exponential fit of the correlation function

-endfit <real> (-1)
Time where to end the exponential fit of the correlation function, -1 is until the

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