dorsal/arxiv
View SchemaMerging multidimensional equations of state of strongly interacting matter via a statistical mixture
| Authors | Yumu Yang, Prachi Garella, Musa R. Khan, Tulio E. Restrepo, Joaquin Grefa, Johannes Jahan, Mauricio Hippert, Jorge Noronha, Claudia Ratti, Romulo Rougemont |
|---|---|
| Categories | |
| ArXiv ID | 2601.07987vv1 |
| URL | https://arxiv.org/abs/2601.07987 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We introduce a general method to merge multidimensional equations of state (EoSs) by combining them in a two-fluid equilibrium statistical mixture in the grand canonical ensemble. The merged grand potential density $\omega$ is built directly from the input EoSs and the fluid fractions are fixed by minimizing $\omega$ at fixed temperature $T$ and baryon chemical potential $\mu_B$. Thermodynamic consistency and stability are guaranteed as all thermodynamic quantities are consistently derived from a single merged grand potential $\omega(T,\mu_B)$ with the correct convexity properties. Our method can accommodate a first-order phase transition and a critical endpoint with mean-field critical exponents. We use this method to merge a van der Waals Hadron-Resonance-Gas EoS with a holographic Einstein-Maxwell-Dilaton EoS that has a critical point and a first-order line. The result is a single EoS, spanning hadronic and deconfined matter over a broad range in $(T,\mu_B)$, which can be readily used in heavy-ion hydrodynamic simulations. Our merging method can be generalized to consider a higher dimensional phase diagram (e.g., by considering more chemical potentials) and more than two input EoSs.
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"abstract": "We introduce a general method to merge multidimensional equations of state (EoSs) by combining them in a two-fluid equilibrium statistical mixture in the grand canonical ensemble. The merged grand potential density $\\omega$ is built directly from the input EoSs and the fluid fractions are fixed by minimizing $\\omega$ at fixed temperature $T$ and baryon chemical potential $\\mu_B$. Thermodynamic consistency and stability are guaranteed as all thermodynamic quantities are consistently derived from a single merged grand potential $\\omega(T,\\mu_B)$ with the correct convexity properties. Our method can accommodate a first-order phase transition and a critical endpoint with mean-field critical exponents. We use this method to merge a van der Waals Hadron-Resonance-Gas EoS with a holographic Einstein-Maxwell-Dilaton EoS that has a critical point and a first-order line. The result is a single EoS, spanning hadronic and deconfined matter over a broad range in $(T,\\mu_B)$, which can be readily used in heavy-ion hydrodynamic simulations. Our merging method can be generalized to consider a higher dimensional phase diagram (e.g., by considering more chemical potentials) and more than two input EoSs.",
"arxiv_id": "2601.07987",
"authors": [
"Yumu Yang",
"Prachi Garella",
"Musa R. Khan",
"Tulio E. Restrepo",
"Joaquin Grefa",
"Johannes Jahan",
"Mauricio Hippert",
"Jorge Noronha",
"Claudia Ratti",
"Romulo Rougemont"
],
"categories": [
"nucl-th",
"hep-lat",
"hep-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Merging multidimensional equations of state of strongly interacting matter via a statistical mixture",
"url": "https://arxiv.org/abs/2601.07987",
"version": "v1"
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