require_once JPATH_SITE.'/TTcustom/TT_contentparser.php';
\(parameters = array("topicname" => "06QuantumPhysics_20nuclear",
 "modelname" => "ejss_model_decaychangeNweedice");

echo generateSimHTML(\)parameters, "EJSS");


Assume the number of radioactive nucleus is N(t) --- not yet decayed into daughter product.
Each nucleus has the same probability p (p<1) decayed into daughter product.
It means that dN(t)/dt= -p*N(t) , where dN(t) is the number of nucleus decayed into daughter product at time t.
The solution is N(t)=N0 e -pt = N0 e -(ln2/T0.5)) t where N(0) is total number of nucleus at time t.

Each box represent a nucleus.
This applet let you set the probability for a nucleus to decay and watch how the number of decayed nuclei (color changed to RED)  increased with time t.



<iframe width="420" height="315" src="" frameborder="0" allowfullscreen></iframe>


<iframe width="560" height="315" src="" frameborder="0" allowfullscreen></iframe>

Other Resources

  1. lookang's blogpost about this JavaScript version
  2. by Fu-Kwun Hwang original Java version
  3. by Wolfgang Christian similar Java version


end faq

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