Primordial Black Holes and Cosmological Phase Transitions Report ...

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$Kawasaki dynamic in continuum Math. Encounters XXXV ... - CCM$

PBHs and Cosmological Phase Transitions 82 cs 2 0.3 0.2 0.1 0 t1 t t -6 -5.5 -5 -4.5 -4 -3.5 Log 10t1s Figure 30: The sound speed c 2 s(t) for the QCD phase transition according to the Lattice Fit with Tc = 170 MeV. During the coexistence phase, which occurs between the instants t− =9.37×10 −5 s and t+ =1.08×10 −4 s the sound speed drops to zero (dark gray zone). For t1 =5.1 × 10 −7 s the sound speed equals 95% of its ‘background’ value. The dashed line represents the ideal gas case for which c 2 s =1/3. cs 2 0.4 0.3 0.2 0.1 t t1 t -4.4 -4.2 -4 -3.8 -3.6 Log 10t1s Figure 31: The sound speed c 2 s (t) for the QCD phase transition in the case of a Crossover with a reference temperature Tc = 170 MeV and ∆T =0.1Tc. The dashed lines represent, for reference, the location of the first–order phase transition according to the Bag Model (t− =6.25 × 10 −5 s, t+ =1.08 × 10 −4 s). Between the instants t1 ≈ 7.1 × 10 −5 s and t2 ≈ 1.96 × 10 −4 s the sound speed stays below 95% of its ‘background’ value (c 2 s,0 =1/3). t2
PBHs and Cosmological Phase Transitions 83 Table 18: The width of the QCD Crossover in terms of temperature as a function of the parameter ∆T (cf. equation 143) when Tc = 170 MeV. T1 represents the temperature when the sound speed gets less than 95% of its ‘background’ value 1/3 and T2 represents the temperature when the sound speed reaches, once again, 95% of 1/3 (T2
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CCM-Centro de Ciências Matemática
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Contents List of Figures vii List o
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PBHs and Cosmological Phase Transit
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List of Tables 1 The Universe timel
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Table 49 (continued). PBHs and Cosm
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Table 49 (continued). Radiation EW
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Primordial Black Holes and Cosmological Phase Transitions Report ...

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