diff --git a/doc/src/Howto_spins.rst b/doc/src/Howto_spins.rst
index 87e30a5f6f..63d5d8f4e7 100644
--- a/doc/src/Howto_spins.rst
+++ b/doc/src/Howto_spins.rst
@@ -30,9 +30,11 @@ can be coupled to another Langevin thermostat applied to the atoms
 using :doc:`fix langevin <fix_langevin>` in order to simulate
 thermostatted spin-lattice systems.
 
-The magnetic Gilbert damping can also be applied using :doc:`fix langevin/spin <fix_langevin_spin>`. It allows to either dissipate
-the thermal energy of the Langevin thermostat, or to perform a
-relaxation of the magnetic configuration toward an equilibrium state.
+The magnetic damping can also be applied 
+using :doc:`fix langevin/spin <fix_langevin_spin>`. 
+It allows to either dissipate the thermal energy of the Langevin 
+thermostat, or to perform a relaxation of the magnetic configuration 
+toward an equilibrium state.
 
 The command :doc:`fix setforce/spin <fix_setforce>` allows to set the
 components of the magnetic precession vectors (while erasing and
@@ -52,9 +54,11 @@ All the computed magnetic properties can be output by two main
 commands. The first one is :doc:`compute spin <compute_spin>`, that
 enables to evaluate magnetic averaged quantities, such as the total
 magnetization of the system along x, y, or z, the spin temperature, or
-the magnetic energy. The second command is :doc:`compute property/atom <compute_property_atom>`. It enables to output all the
-per atom magnetic quantities. Typically, the orientation of a given
-magnetic spin, or the magnetic force acting on this spin.
+the magnetic energy. The second command 
+is :doc:`compute property/atom <compute_property_atom>`. 
+It enables to output all the per atom magnetic quantities. Typically, 
+the orientation of a given magnetic spin, or the magnetic force 
+acting on this spin.
 
 ----------
 
diff --git a/doc/src/fix_langevin_spin.rst b/doc/src/fix_langevin_spin.rst
index 0926881eef..0ca291a732 100644
--- a/doc/src/fix_langevin_spin.rst
+++ b/doc/src/fix_langevin_spin.rst
@@ -40,7 +40,7 @@ the following stochastic differential equation:
   \times\left( \vec{\omega}_{i} \times\vec{s}_{i} \right) \right)
 
 with :math:`\lambda` the transverse damping, and :math:`\eta` a random vector.
-This equation is referred to as the stochastic Landau-Lifshitz-Gilbert (sLLG)
+This equation is referred to as the stochastic Landau-Lifshitz (sLL)
 equation.
 
 The components of :math:`\eta` are drawn from a Gaussian probability
@@ -49,7 +49,7 @@ the external thermostat T (in K in metal units).
 
 More details about this implementation are reported in :ref:`(Tranchida) <Tranchida2>`.
 
-Note: due to the form of the sLLG equation, this fix has to be defined just
+Note: due to the form of the sLL equation, this fix has to be defined just
 before the nve/spin fix (and after all other magnetic fixes).
 As an example:
 
diff --git a/doc/src/min_modify.rst b/doc/src/min_modify.rst
index 6b416a9b6a..8ef89fa16c 100644
--- a/doc/src/min_modify.rst
+++ b/doc/src/min_modify.rst
@@ -24,7 +24,7 @@ Syntax
          inf = max force component across all 3-vectors
          max = max force norm across all 3-vectors
        *alpha_damp* value = damping
-         damping = fictitious Gilbert damping for spin minimization (adim)
+         damping = fictitious magnetic damping for spin minimization (adim)
        *discrete_factor* value = factor
          factor = discretization factor for adaptive spin timestep (adim)
        *integrator* value = *eulerimplicit* or *verlet*
@@ -109,9 +109,9 @@ norm is replaced by the spin-torque norm.
 
 Keywords *alpha_damp* and *discrete_factor* only make sense when
 a :doc:`min_spin <min_spin>` command is declared.
-Keyword *alpha_damp* defines an analog of a magnetic Gilbert
-damping. It defines a relaxation rate toward an equilibrium for
-a given magnetic system.
+Keyword *alpha_damp* defines an analog of a magnetic damping. 
+It defines a relaxation rate toward an equilibrium for a given 
+magnetic system.
 Keyword *discrete_factor* defines a discretization factor for the
 adaptive timestep used in the *spin* minimization.
 See :doc:`min_spin <min_spin>` for more information about those
diff --git a/doc/src/min_spin.rst b/doc/src/min_spin.rst
index d9572f4463..9b6841ae8c 100644
--- a/doc/src/min_spin.rst
+++ b/doc/src/min_spin.rst
@@ -39,7 +39,7 @@ timestep, according to:
 
    \frac{d \vec{s}_{i}}{dt} = \lambda\, \vec{s}_{i} \times\left( \vec{\omega}_{i} \times\vec{s}_{i} \right)
 
-with :math:`\lambda` a damping coefficient (similar to a Gilbert
+with :math:`\lambda` a damping coefficient (similar to a magnetic
 damping). :math:`\lambda` can be defined by setting the
 *alpha_damp* keyword with the :doc:`min_modify <min_modify>` command.