Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical behavior of Born-Infeld dilaton black holes   We explore the critical behavior of (n+1)-dimensional topological
Born-Infeld-dilaton black holes in an extended phase space. We treat the
cosmological constant and the Born-Infeld (BI) parameter as the thermodynamic
pressure and BI vacuum polarization which can vary. We obtain thermodynamic
quantities of the system such as pressure, temperature, Gibbs free energy, and
investigate the behaviour of these quantities. We also study the analogy of the
van der Waals liquid-gas system with the Born-Infeld-dilaton black holes in
canonical ensemble in which we can treat the black hole charge as a fixed
external parameter. Moreover, we show that the critical values of pressure,
temperature and volume are physical provided the coupling constant of dilaton
gravity is less than one and the horizon is sphere. Finally, we calculate the
critical xponents and show that although thermodynamic quantities depend on the
dilaton oupling constant, BI parameter and the dimension of the spacetime, they
are universal and are independent of metric parameters.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th