Abstract
We study various dynamical aspects of systems possessing a first order phase transition in their phase diagram. We isolate three qualitatively distinct types of theories depending on the structure of instabilities and the nature of the low temperature phase. The non-equilibrium dynamics is modeled by a dual gravitational theory in 3+1 dimension which is coupled to massive scalar field with self-interacting potential. By numerically solving the Einstein-matter equations of motion with various initial configurations, we investigate the structure of the final state arising through coalescence of phase domains. We find that static phase domains, even quite narrow are very long lived and we find a phenomenological equation for their lifetime. Within our framework we also analyze moving phase domains and their collision as well as the effects of spinodal instability and dynamical instability on an expanding boost invariant plasma.
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References
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys.2 (1998) 505 [hep-th/9803131] [INSPIRE].
J. Sonner, A. del Campo and W.H. Zurek, Universal far-from-equilibrium Dynamics of a Holographic Superconductor, Nature Commun.6 (2015) 7406 [arXiv:1406.2329] [INSPIRE].
P.M. Chesler, A.M. Garcia-Garcia and H. Liu, Defect Formation beyond Kibble-Zurek Mechanism and Holography, Phys. Rev.X 5 (2015) 021015 [arXiv:1407.1862] [INSPIRE].
HotQCD collaboration, Equation of state in (2 + 1)-flavor QCD, Phys. Rev.D 90 (2014) 094503 [arXiv:1407.6387] [INSPIRE].
F. Denef, S.A. Hartnoll and S. Sachdev, Quantum oscillations and black hole ringing, Phys. Rev.D 80 (2009) 126016 [arXiv:0908.1788] [INSPIRE].
D. Anninos, S.A. Hartnoll and N. Iqbal, Holography and the Coleman-Mermin-Wagner theorem, Phys. Rev.D 82 (2010) 066008 [arXiv:1005.1973] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Boost invariant flow, black hole formation and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory, Phys. Rev.D 82 (2010) 026006 [arXiv:0906.4426] [INSPIRE].
M.P. Heller, R.A. Janik and P. Witaszczyk, The characteristics of thermalization of boost-invariant plasma from holography, Phys. Rev. Lett.108 (2012) 201602 [arXiv:1103.3452] [INSPIRE].
L. Bellantuono, P. Colangelo, F. De Fazio and F. Giannuzzi, On thermalization of a boost-invariant non Abelian plasma, JHEP07 (2015) 053 [arXiv:1503.01977] [INSPIRE].
L. Bellantuono, P. Colangelo, F. De Fazio, F. Giannuzzi and S. Nicotri, Role of nonlocal probes of thermalization for a strongly interacting non-Abelian plasma, Phys. Rev.D 94 (2016) 025005 [arXiv:1603.08849] [INSPIRE].
R.A. Janik, J. Jankowski and H. Soltanpanahi, Quasinormal modes and the phase structure of strongly coupled matter, JHEP06 (2016) 047 [arXiv:1603.05950] [INSPIRE].
R.A. Janik, J. Jankowski and H. Soltanpanahi, Nonequilibrium Dynamics and Phase Transitions in Holographic Models, Phys. Rev. Lett.117 (2016) 091603 [arXiv:1512.06871] [INSPIRE].
U. Gürsoy, S. Lin and E. Shuryak, Instabilities near the QCD phase transition in the holographic models, Phys. Rev.D 88 (2013) 105021 [arXiv:1309.0789] [INSPIRE].
R. Rougemont, R. Critelli and J. Noronha, Nonhydrodynamic quasinormal modes and equilibration of a baryon dense holographic QGP with a critical point, Phys. Rev.D 98 (2018) 034028 [arXiv:1804.00189] [INSPIRE].
U. Gürsoy, A. Jansen and W. van der Schee, New dynamical instability in asymptotically anti-de Sitter spacetime, Phys. Rev.D 94 (2016) 061901 [arXiv:1603.07724] [INSPIRE].
R.A. Janik, J. Jankowski and H. Soltanpanahi, Real-Time dynamics and phase separation in a holographic first order phase transition, Phys. Rev. Lett.119 (2017) 261601 [arXiv:1704.05387] [INSPIRE].
M. Attems, Y. Bea, J. Casalderrey-Solana, D. Mateos and M. Zilhão, Dynamics of Phase Separation from Holography, arXiv:1905.12544 [INSPIRE].
M. Attems, Y. Bea, J. Casalderrey-Solana, D. Mateos, M. Triana and M. Zilhão, Holographic Collisions across a Phase Transition, Phys. Rev. Lett.121 (2018) 261601 [arXiv:1807.05175] [INSPIRE].
M. Attems, Y. Bea, J. Casalderrey-Solana, D. Mateos, M. Triana and M. Zilhão, Phase Transitions, Inhomogeneous Horizons and Second-Order Hydrodynamics, JHEP06 (2017) 129 [arXiv:1703.02948] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys.217 (2001) 595 [hep-th/0002230] [INSPIRE].
S.W. Hawking, I.G. Moss and J.M. Stewart, Bubble Collisions in the Very Early Universe, Phys. Rev.D 26 (1982) 2681 [INSPIRE].
I. Dymnikova, L. Koziel, M. Khlopov and S. Rubin, Quasilumps from first order phase transitions, Grav. Cosmol.6 (2000) 311 [hep-th/0010120] [INSPIRE].
E. Witten, Instability of the Kaluza-Klein Vacuum, Nucl. Phys.B 195 (1982) 481 [INSPIRE].
S.S. Gubser and A. Nellore, Mimicking the QCD equation of state with a dual black hole, Phys. Rev.D 78 (2008) 086007 [arXiv:0804.0434] [INSPIRE].
U. Gürsoy, E. Kiritsis and F. Nitti, Exploring improved holographic theories for QCD: Part II, JHEP02 (2008) 019 [arXiv:0707.1349] [INSPIRE].
U. Gürsoy and E. Kiritsis, Exploring improved holographic theories for QCD: Part I, JHEP02 (2008) 032 [arXiv:0707.1324] [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Positive Energy in anti-de Sitter Backgrounds and Gauged Extended Supergravity, Phys. Lett.B 115 (1982) 197 [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Stability in Gauged Extended Supergravity, Annals Phys.144 (1982) 249 [INSPIRE].
H. Elvang and M. Hadjiantonis, A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization, JHEP06 (2016) 046 [arXiv:1603.04485] [INSPIRE].
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav.19 (2002) 5849 [hep-th/0209067] [INSPIRE].
P.K. Kovtun and A.O. Starinets, Quasinormal modes and holography, Phys. Rev.D 72 (2005) 086009 [hep-th/0506184] [INSPIRE].
S.S. Gubser and I. Mitra, The Evolution of unstable black holes in anti-de Sitter space, JHEP08 (2001) 018 [hep-th/0011127] [INSPIRE].
J.J. Friess, S.S. Gubser and I. Mitra, Counter-examples to the correlated stability conjecture, Phys. Rev.D 72 (2005) 104019 [hep-th/0508220] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma, Phys. Rev. Lett.102 (2009) 211601 [arXiv:0812.2053] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes, JHEP07 (2014) 086 [arXiv:1309.1439] [INSPIRE].
M. Attems et al., Paths to equilibrium in non-conformal collisions, JHEP06 (2017) 154 [arXiv:1703.09681] [INSPIRE].
M. Hanada, G. Ishiki and H. Watanabe, Partial Deconfinement, JHEP03 (2019) 145 [arXiv:1812.05494] [INSPIRE].
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ArXiv EPrint: 1906.00061
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Bellantuono, L., Janik, R.A., Jankowski, J. et al. Dynamics near a first order phase transition. J. High Energ. Phys. 2019, 146 (2019). https://doi.org/10.1007/JHEP10(2019)146
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DOI: https://doi.org/10.1007/JHEP10(2019)146