- Timestamp:
- Oct 28, 2017 9:31:28 AM (7 years ago)
- Branches:
- master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- a70959a
- Parents:
- a5a12ca
- Location:
- doc/guide/pd
- Files:
-
- 1 added
- 1 edited
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doc/guide/pd/polydispersity.rst
ra5a12ca r75e4319 43 43 44 44 * *Rectangular Distribution* 45 * *Uniform Distribution* 45 46 * *Gaussian Distribution* 46 47 * *Lognormal Distribution* … … 83 84 84 85 Rectangular distribution. 86 87 Uniform Distribution 88 ^^^^^^^^^^^^^^^^^^^^^^^^ 89 90 The Uniform Distribution is defined as 91 92 .. math:: 93 94 f(x) = \frac{1}{\text{Norm}} 95 \begin{cases} 96 1 & \text{for } |x - \bar x| \leq \sigma \\ 97 0 & \text{for } |x - \bar x| > \sigma 98 \end{cases} 99 100 where $\bar x$ is the mean of the distribution, $\sigma$ is the half-width, and 101 *Norm* is a normalization factor which is determined during the numerical 102 calculation. 103 104 Note that the polydispersity is given by 105 106 .. math:: \text{PD} = \sigma / \bar x 107 108 .. figure:: pd_uniform.jpg 109 110 Uniform distribution. 85 111 86 112 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
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