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Langevin curve fitting

  1. Jun 24, 2008 #1
    hi, there my question is let's suppose we have the magnetization (M) versus the applied field (H) as

    [tex] M(H,T)= \sum _{n=1}^{N} W(x_i ) (x_i ) Lang (H.A.x_{i}/T) [/tex]

    here 'A' is a constant 'T' is the temperature of system Lang(x) is the Langevin function coth(x)-1/x ,

    My problem is how to use a curve fitting algorithm to solve the problem ,i am working under the assumption that [tex] W(x_i) [/tex] i=1,2,3,....,N is a log normal distribution depending only on the value x_i

    my curve fitting program is just 'Origin 7' i need the algorithm to curve-fitting to a certain given distribution W(x) thanks.
     
  2. jcsd
  3. Jun 24, 2008 #2
    What data do you have? Next, what does [tex]W(x_i ) (x_i )[/tex] mean? Could you give it analytical? Do you want to find A, and have a set of data like M_i=M(H_i,T_i) where _i is an index of your data points? Is x_i a random number or what?

    I know how to find A for a problem of the type M_i=M(H_i,T_i) within matlab but that maby not help you, but the idea is based on non-linear least square minimization.
     
  4. Oct 29, 2008 #3
    thank you, if possible where could i learn 'Nonlinear least squares optimization' ??
     
  5. Oct 29, 2008 #4

    Dr Transport

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    Gold Member

    Levenberg-Marquardt method....... try looking for that.
     
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