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Critical behavior of hadronic matter: Critical-point exponents

Helmut Satz

Open publisher page 23 citations

Abstract

In statistical physics, the principle of maximum entropy provides conditions on the singular behavior of thermodynamic functions near a critical point, in the form of inequalities for the critical-point exponents. Hadronic matter, when described by an exponentially rising density of states (dual resonance, statistical bootstrap models), exhibits critical behavior at a finite temperature ${T}_{c}$. We calculate the basic critical-point exponents for such systems and investigate the range of validity of the corresponding inequalities.

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In statistical physics, the principle of maximum entropy provides conditions on the singular behavior of thermodynamic functions near a critical point, in the form of inequalities for the critical-point exponents. Hadronic matter, when described by an exponentially rising density of states (dual resonance, statistical bootstrap models), exhibits critical behavior at a finite temperature ${T}_{c}$. We calculate the basic critical-point exponents for such systems and investigate the range of validity of the corresponding inequalities.

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Available abstract

In statistical physics, the principle of maximum entropy provides conditions on the singular behavior of thermodynamic functions near a critical point, in the form of inequalities for the critical-point exponents. Hadronic matter, when described by an exponentially rising density of states (dual resonance, statistical bootstrap models), exhibits critical behavior at a finite temperature ${T}_{c}$. We calculate the basic critical-point exponents for such systems and investigate the range of validity of the corresponding inequalities.

Key concepts: Critical exponent, Critical point (mathematics), Physics, Hadron, Critical phenomena, Statistical physics, Entropy (arrow of time), Percolation critical exponents

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