Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculating entropy by Ma's method for a system of $k$-mers on a square
  lattice   Boltzmann's entropy is an important feature of any dynamic system.
Calculating Boltzmann's entropy directly as the logarithm of the total number
of microstates for a current macrostate is difficult for large systems. In the
case of studying the diffusion of $k$-mers (linear segments of $k$ adjacent
cells) on a lattice, the complexity of counting the possible microstates grows
exponentially with the number of $k$-mers in the system. The obvious solution
to this problem is to obtain only an estimate for the entropy, as this is
faster to calculate. The 2D sliding window technique can be used to divide a
system of $k$-mers on a lattice into subsystems. We use Ma's "coincidence"
method to estimate the total number of possible states for such subsystems. In
this study, the accuracy of Ma's method is studied in a simple combinatory
model, both experimentally and theoretically. We determine which definition of
"coincidence" for this scheme leads to greater accuracy. Where complex
interactions between $k$-mers are ignored, Ma's estimate of the number of
possible states for a system of $k$-mers correlates well with the estimate
obtained using a "naive" method.

5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex