@article{kamata_jankowski_martinez_2023, title={Novel features of attractors and transseries in nonconformal Bjorken flows}, volume={107}, ISSN={["2470-0029"]}, DOI={10.1103/PhysRevD.107.116004}, abstractNote={In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the non-conformal hydrodynamic equations of a longitudinal boost invariant expanding plasma. The new transseries solutions unveil a rich physical structure which arises due to the interplay of different physical scales. In the perfect fluid case the non-conformal speed of sound slows down the cooling of the temperature due to the emergence of logarithmic corrections that depends on the mass of the particle. These terms propagate into the perturbative and non-perturbative sectors of the transseries once viscous corrections are included. The logarithmic mass contributions increase the asymptotic value of the Knudsen number while decreasing the damping rate of the transient non-hydrodynamic modes and thus, yielding to an extremely slow hydrodynamization process where flow lines merge to their forward attractor at extremely late times. The early time free streaming expansion is modified and receives logarithmic mass corrections induced by the shear-bulk couplings. The global flow structure and numerical analyses carried out in our work demonstrate the existence of the early and late-time attractors for the shear viscous tensor and bulk viscous pressure.}, number={11}, journal={PHYSICAL REVIEW D}, author={Kamata, Syo and Jankowski, Jakub and Martinez, Mauricio}, year={2023}, month={Jun} }
 @article{jankowski_kamata_martinez_spalinski_2021, title={Constraining the initial stages of ultrarelativistic nuclear collisions}, volume={104}, ISSN={["2470-0029"]}, DOI={10.1103/PhysRevD.104.074012}, abstractNote={It is frequently supposed that quark-gluon plasma created in heavy-ion collisions undergoes free streaming at early times. We examine this issue based on the assumption that a universal attractor dominates the dynamics already at the earliest stages. Adopting fairly standard theoretical assumptions, we find that certain observables are discernibly sensitive to early-time behaviour. We show that the predicted final particle multiplicities measured in experiments point to an initial state with a pressure anisotropy of about 1 rather than 3/2, which would be expected in the case of free streaming. This result also implies a positive longitudinal pressure at early times.}, number={7}, journal={PHYSICAL REVIEW D}, author={Jankowski, Jakub and Kamata, Syo and Martinez, Mauricio and Spalinski, Michal}, year={2021}, month={Oct} }
 @article{behtash_kamata_martinez_shi_2020, title={Global flow structure and exact formal transseries of the Gubser flow in kinetic theory}, ISSN={["1029-8479"]}, DOI={10.1007/JHEP07(2020)226}, abstractNote={Abstract
                     }, number={7}, journal={JOURNAL OF HIGH ENERGY PHYSICS}, author={Behtash, Alireza and Kamata, Syo and Martinez, Mauricio and Shi, Haosheng}, year={2020}, month={Jul} }
 @article{kamata_martinez_plaschke_ochsenfeld_schlichting_2020, title={Hydrodynamization and nonequilibrium Green's functions in kinetic theory}, volume={102}, ISSN={["2470-0029"]}, DOI={10.1103/PhysRevD.102.056003}, abstractNote={Non-equilibrium Green's functions provide an efficient way to describe the evolution of the energy-momentum tensor during the early time pre-equilibrium stage of high-energy heavy ion collisions. Besides their practical relevance they also provide a meaningful way to address the question when and to what extent a hydrodynamic description of the system becomes applicable. Within the kinetic theory framework we derive a new method to calculate time dependent non-equilibrium Green's functions describing the evolution of energy and momentum perturbations on top of an evolving far-from-equilibrium background. We discuss the approach towards viscous hydrodynamics along with the emergence of various scaling phenomena for conformal systems. By comparing our results obtained in the relaxation time approximation to previous calculations in Yang-Mills kinetic theory, we further address the question which macroscopic features of the energy momentum tensor are sensitive to the underlying microscopic dynamics.}, number={5}, journal={PHYSICAL REVIEW D}, author={Kamata, Syo and Martinez, Mauricio and Plaschke, Philip and Ochsenfeld, Stephan and Schlichting, Soren}, year={2020}, month={Sep} }
 @article{martinez_sievert_wertepny_2019, title={Multiparticle production at mid-rapidity in the color-glass condensate}, ISSN={["1029-8479"]}, DOI={10.1007/JHEP02(2019)024}, abstractNote={Abstract}, number={2}, journal={JOURNAL OF HIGH ENERGY PHYSICS}, author={Martinez, Mauricio and Sievert, Matthew D. and Wertepny, Douglas E.}, year={2019}, month={Feb} }
 @article{behtash_cruz-camacho_martinez_2018, title={Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow}, volume={97}, ISSN={["2470-0029"]}, DOI={10.1103/physrevd.97.044041}, abstractNote={The non-equilibrium attractors of systems undergoing Gubser flow within relativistic kinetic theory are studied. In doing so we employ well-established methods of nonlinear dynamical systems which rely on finding the fixed points, investigating the structure of the flow diagrams of the evolution equations, and characterizing the basin of attraction using a Lyapunov function near the stable fixed points. We obtain the attractors of anisotropic hydrodynamics, Israel-Stewart (IS) and transient fluid (DNMR) theories and show that they are indeed non-planar and the basin of attraction is essentially three dimensional. The attractors of each hydrodynamical model are compared with the one obtained from the exact Gubser solution of the Boltzmann equation within the relaxation time approximation. We observe that the anisotropic hydrodynamics is able to match up to high numerical accuracy the attractor of the exact solution while the second order hydrodynamical theories fail to describe it. We show that the IS and DNMR asymptotic series expansion diverge and use resurgence techniques to perform the resummation of these divergences. We also comment on a possible link between the manifold of steepest descent paths in path integrals and basin of attraction for the attractors via Lyapunov functions that opens a new horizon toward effective field theory description of hydrodynamics. Our findings indicate that anisotropic hydrodynamics is an effective theory for far-from-equilibrium fluid dynamics which resums the Knudsen and inverse Reynolds numbers to all orders.}, number={4}, journal={PHYSICAL REVIEW D}, author={Behtash, Alireza and Cruz-Camacho, C. N. and Martinez, M.}, year={2018}, month={Feb} }
 @article{martinez_sievert_wertepny_2018, title={Toward initial conditions of conserved charges. Part I. Spatial correlations of quarks and antiquarks}, ISSN={["1029-8479"]}, DOI={10.1007/jhep07(2018)003}, abstractNote={Abstract}, number={7}, journal={JOURNAL OF HIGH ENERGY PHYSICS}, author={Martinez, Mauricio and Sievert, Matthew D. and Wertepny, Douglas E.}, year={2018}, month={Jul} }