Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the non-convergence of the Wang-Landau algorithms with multiple
  random walkers   This paper discusses some convergence properties in the entropic sampling
Monte Carlo methods with multiple random walkers, particularly in the
Wang-Landau (WL) and $1/t$ algorithms. The classical algorithms are modified by
the use of $m$ independent random walkers in the energy landscape to calculate
the density of states (DOS). The Ising model is used to show the convergence
properties in the calculation of the DOS, as well as the critical temperature,
while the calculation of the number $\pi$ by multiple dimensional integration
is used in the continuum approximation. In each case, the error is obtained
separately for each walker at a fixed time, $t$; then, the average over $m$
walkers is performed. It is observed that the error goes as $1/\sqrt{m}$.
However, if the number of walkers increases above a certain critical value
$m>m_x$, the error reaches a constant value (i.e. it saturates). This occurs
for both algorithms; however, it is shown that for a given system, the $1/t$
algorithm is more efficient and accurate than the similar version of the WL
algorithm. It follows that it makes no sense to increase the number of walkers
above a critical value $m_x$, since it does not reduces the error in the
calculation. Therefore, the number of walkers does not guarantee convergence.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph