Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density of Yang-Lee zeros for the Ising ferromagnet   The densities of Yang-Lee zeros for the Ising ferromagnet on the $L\times L$
square lattice are evaluated from the exact grand partition functions
($L=3\sim16$). The properties of the density of Yang-Lee zeros are discussed as
a function of temperature $T$ and system size $L$. The three different classes
of phase transitions for the Ising ferromagnet, first-order phase transition,
second-order phase transition, and Yang-Lee edge singularity, are clearly
distinguished by estimating the magnetic scaling exponent $y_h$ from the
densities of zeros for finite-size systems. The divergence of the density of
zeros at Yang-Lee edge in high temperatures (Yang-Lee edge singularity), which
has been detected only by the series expansion until now for the square-lattice
Ising ferromagnet, is obtained from the finite-size data. The identification of
the orders of phase transitions in small systems is also discussed using the
density of Yang-Lee zeros.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: cs