Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to determine a boundary condition at a thin membrane for diffusion
  from experimental data   We present a new method of deriving a boundary condition at a thin membrane
for diffusion from experimental data. Based on experimental results obtained
for normal diffusion of ethanol in water, we show that the derived boundary
condition at a membrane contains a term with the Riemann--Liouville fractional
time derivative of the $1/2$ order. Such a form of the boundary condition shows
that a transfer of particles through a thin membrane is a `long memory
process'. Presented method is an example that an important part of mathematical
model of physical process may be derived directly from experimental data.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat