3 problems

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The conjecture that the virial expansion has a larger convergence domain than the activity expansion
The virial expansion expresses thermodynamic quantities in powers of the density, while the activity expansion expresses them in powers of the activity. The convergence domain refe…
Conjectureopencluster-expansions statistical-mechanics virial-expansionarXiv posted 2 days ago
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Conjecture on the special dimensions attracting virial-coefficient zeros
Special-dimension conjecture. The formula $d_m=2+\frac{2}{m+1}$ holds for all $m=1,2,\ldots$ . These dimensions are conjectured to explain exceptionally large convergence radii of t…
Conjectureopenquantum-gases statistical-mechanics virial-expansionarXiv posted 2 days ago
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Conjecture on low-temperature Mayer, virial and saturation densities
Let $\rho^\mathsf{May}(\beta)$ be the Mayer density, $R^\mathsf{vir}(\beta)$ the radius of convergence of the virial expansion, and $\rho_\mathrm{sat}(\beta)$ the saturated-gas den…
Conjectureopenlow-temperature-asymptotics statistical-mechanics virial-expansionarXiv posted 2 days ago

The conjecture that the virial expansion has a larger convergence domain than the activity expansion