Stochstic term in Allen-Cahn equation

[mdh23rct]

Dear MOOSE experts,
Would you be kind to let me know how to add a stochastic term in the Allen-Cahn equation in MOOSE?

I have attached an image of the equation here. The last term on the right-hand side of the equation stands for the stochastic term.

I would appreciate if you could manage time to reply.

Thanks, and best regards.

[lynnmunday]

Would some kind of initial condition for that term work seeded with a random distribution like this:

[AuxVariables]
  [./strength]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[ICs]
  [./strength]
    type = VolumeWeightedWeibull
    variable = strength
    reference_volume = 1e-7
    weibull_modulus = 12.0
    median = 130e6
  [../]
[]

[lynnmunday]

I'm not familiar with this equation but if you just need to seed your domain with a random material property, this is the way to do that and then you can read that material property into your model as is done in the above example.

[zahidhasan83]

@lynnmunday
Dear Dr. Lynn,
I need to add a random number (R3), as shown in this equation:

Would you be kind to advise me how to do it in MOOSE?

Thanks, and best regards.

[lynnmunday]

I have no idea what this equation is doing. What I have above is something that will seed an auxvariable with a random number over some distribution. It looks like you could random multiply this auxvariable by your material.

[lynnmunday]

@chaibhave Will you look at this.

[Nuwanted]

May I ask if you have solved this problem? I also encountered the same issue