In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.
Lattice-based QCD equation of state at finite baryon density: Cluster Expansion Model
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abstract
The QCD equation of state at finite baryon density is studied in the framework of a Cluster Expansion Model (CEM), which is based on the fugacity expansion of the net baryon density. The CEM uses the two leading Fourier coefficients, obtained from lattice simulations at imaginary $\mu_B$, as the only model input and permits a closed analytic form. Excellent description of the available lattice data at both $\mu_B = 0$ and at imaginary $\mu_B$ is obtained. We also demonstrate how the Fourier coefficients can be reconstructed from baryon number susceptibilities.
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Critical point signatures in the cluster expansion in fugacities
In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.