Adaptive biasing with AWH
-------------------------
-The accelerated weight histogram method
+The accelerated weight histogram method :ref:`185 <refLidmar2012>`
:ref:`137 <reflindahl2014accelerated>` calculates the PMF along a reaction coordinate by adding
an adaptively determined biasing potential. AWH flattens free energy
barriers along the reaction coordinate by applying a history-dependent
toward :math:`\rho(\lambda)`.
It is also possible to directly control the :math:`\lambda` state
-of, e.g., alchemical free energy perturbations. In that case there is no harmonic
+of, e.g., alchemical free energy perturbations :ref:`187 <reflundborg2021>`. In that case there is no harmonic
potential and :math:`\lambda` changes in discrete steps along the reaction coordinate
depending on the biased free energy difference between the :math:`\lambda` states.
N.b., it is not yet possible to use AWH in combination with perturbed masses or
considered covered when at least one walker has independently traversed
the sampling interval.
+In practice biases are shared by setting :mdp:`awh-share-multisim` to true
+and :mdp:`awh1-share-group` (for bias 1) to a non-zero value. Here, bias 1
+will be shared between simulations that have the same share group value.
+Sharing can be different for bias 1, 2, etc. (although there are
+few use cases where this is useful). Technically there are no restrictions
+on sharing, apart from that biases that are shared need to have the same
+number of grid points and the update intervals should match.
+Note that biases can not be shared within a simulation.
+The latter could be useful, especially for multimeric proteins, but this
+is more difficult to implement.
+
.. _awhreweight:
Reweighting and combining biased data
is the deviation of the force. The factors :math:`\omega(\lambda|x(t))`,
see :eq:`Eq %s <eqawhomega>`, reweight the samples.
:math:`\eta_{\mu\nu}(\lambda)` is a friction
-tensor \ :ref:`144 <refsivak2012thermodynamic>`. Its matrix elements are inversely proportional to local
+tensor :ref:`186 <reflindahl2018>` and :ref:`144 <refsivak2012thermodynamic>`. Its matrix elements are inversely proportional to local
diffusion coefficients. A measure of sampling (in)efficiency at each
:math:`\lambda` is given by