| VERSION 4.5 |
g_bar calculates free energy difference estimates through
Bennett's acceptance ratio method.
Input option -f expects multiple dhdl files.
Two types of input files are supported:
* Files with only one y-value, for such files it is assumed
that the y-value is dH/dlambda and that the Hamiltonian depends
linearly on lambda. The lambda value of the simulation is inferred
from the subtitle if present, otherwise from a number in the
subdirectory in the file name.
* Files with more than one y-value. The files should have columns
with dH/dlambda and Delta lambda. The lambda values are inferred
from the legends:
lambda of the simulation from the legend of dH/dlambda
and the foreign lambda's from the legends of Delta H.
The lambda of the simulation is parsed from dhdl.xvg file's legend containing the string 'dH', the foreign lambda's from the legend containing the capitalized letters 'D' and 'H'. The temperature is parsed from the legend line containing 'T ='.
The free energy estimates are determined using BAR with bisection, the precision of the output is set with -prec. An error estimate taking into account time correlations is made by splitting the data into blocks and determining the free energy differences over those blocks and assuming the blocks are independent. The final error estimate is determined from the average variance over 5 blocks. A range of blocks numbers for error estimation can be provided with the options -nbmin and -nbmax.
The results are split in two parts: the last part contains the final
results in kJ/mol, together with the error estimate for each part
and the total. The first part contains detailed free energy
difference estimates and phase space overlap measures in units of
kT (together with their computed error estimate). The printed
values are:
* lam_A: the lambda values for point A.
* lam_B: the lambda values for point B.
* DG: the free energy estimate.
* s_A: an estimate of the relative entropy of B in A.
* s_A: an estimate of the relative entropy of A in B.
* stdev: an estimate expected per-sample standard deviation.
The relative entropy of both states in each other's ensemble can be interpreted as a measure of phase space overlap: the relative entropy s_A of the work samples of lambda_B in the ensemble of lambda_A (and vice versa for s_B), is a measure of the 'distance' between Boltzmann distributions of the two states, that goes to zero for identical distributions. See Wu & Kofke, J. Chem. Phys. 123 084109 (2009) for more information.
The estimate of the expected per-sample standard deviation, as given in Bennett's original BAR paper: Bennett, J. Comp. Phys. 22, p 245 (1976), Eq. 10 gives an estimate of the quality of sampling (not directly of the actual statistical error, because it assumes independent samples).
option | filename | type | description |
---|---|---|---|
-f | dhdl.xvg | Input, Opt., Mult. | xvgr/xmgr file |
-o | bar.xvg | Output, Opt. | xvgr/xmgr file |
-oi | barint.xvg | Output, Opt. | xvgr/xmgr file |
-oh | histogram.xvg | Output, Opt. | xvgr/xmgr file |
-g | energy.edr | Input, Opt., Mult. | Energy file |
option | type | default | description |
---|---|---|---|
-[no]h | gmx_bool | no | Print help info and quit |
-[no]version | gmx_bool | no | Print version info and quit |
-nice | int | 0 | Set the nicelevel |
-[no]w | gmx_bool | no | View output xvg, xpm, eps and pdb files |
-xvg | enum | xmgrace | xvg plot formatting: xmgrace, xmgr or none |
-b | real | 0 | Begin time for BAR |
-e | real | -1 | End time for BAR |
-temp | real | -1 | Temperature (K) |
-prec | int | 2 | The number of digits after the decimal point |
-nbmin | int | 5 | Minimum number of blocks for error estimation |
-nbmax | int | 5 | Maximum number of blocks for error estimation |
-nbin | int | 100 | Number of bins for histogram output |