Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudo-critical behavior of spin-1/2 Ising diamond and tetrahedral
  chains   A few paradigmatic one-dimensional lattice-statistical spin models have
recently attracted a vigorous scientific interest owing to their peculiar
thermodynamic behavior, which is highly reminiscent of a temperature-driven
phase transition. The pseudotransitions of one-dimensional lattice-statistical
spin models differ from actual phase transitions in several important aspects:
the first-order derivatives of the Gibbs free energy such as entropy or
magnetization exhibit near a pseudo-transition an abrupt continuous change
instead of a true discontinuity, whereas the second-order derivatives of the
Gibbs free energy such as specific heat or susceptibility display near a
pseudo-transition a vigorous finite peak instead of an actual power-law
divergence. In the present chapter we will comprehensively examine a
pseudo-critical behavior of the spin-1/2 Ising diamond and tetrahedral chains
by a detailed examination of basic magnetothermodynamic quantities such as the
entropy, specific heat and susceptibility. It will be demonstrated that density
plots of these magnetothermodynamic quantities provide a useful tool for
establishing a finite-temperature diagram, which clearly delimits boundaries
between individual quasi-phases in spite of a lack of true spontaneous
long-range order at any nonzero temperature. It is suggested that a substantial
difference between the degeneracies of two ground states of the spin-1/2 Ising
diamond and tetrahedral chains is an essential prerequisite for observation of
a relevant pseudo-critical behavior in a close vicinity of their ground-state
phase boundary.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn