A5044496285- High-Energy Particle Collisions Research
- Advanced Thermodynamics and Statistical Mechanics
- Statistical Mechanics and Entropy
- Cosmology and Gravitation Theories
- Quantum Mechanics and Applications
- Quantum Chromodynamics and Particle Interactions
- Quantum Information and Cryptography
- Theoretical and Computational Physics
- Quantum, superfluid, helium dynamics
- Black Holes and Theoretical Physics
- Cold Atom Physics and Bose-Einstein Condensates
- Fluid Dynamics and Turbulent Flows
- Physics of Superconductivity and Magnetism
- Particle physics theoretical and experimental studies
- Gas Dynamics and Kinetic Theory
- Pulsars and Gravitational Waves Research
- Spectroscopy and Quantum Chemical Studies
- Complex Systems and Time Series Analysis
- stochastic dynamics and bifurcation
- High-pressure geophysics and materials
- Advanced Mathematical Modeling in Engineering
- Quantum Electrodynamics and Casimir Effect
- Material Dynamics and Properties
- Strong Light-Matter Interactions
- Quantum many-body systems
Universidade Federal do Rio de Janeiro
2016-2025
Frankfurt Institute for Advanced Studies
2009-2024
Goethe University Frankfurt
2004-2014
Institute for Advanced Study
2009
Goethe Institute
2009
Universidade Estadual Paulista (Unesp)
2007
Universidade de São Paulo
2005-2006
Kyoto University
2002-2004
Tohoku University
1997-2000
We rederive the equations of motion dissipative relativistic fluid dynamics from kinetic theory. In contrast with derivation Israel and Stewart, which considered second moment Boltzmann equation to obtain for currents, we directly use latter's definition. Although obtained via two approaches are formally identical, coefficients different. show that, one-dimensional scaling expansion, our method is in better agreement solution equation.
We investigate the causality and stability of relativistic dissipative fluid dynamics in absence conserved charges. perform a linear analysis rest frame find that equations are always stable. then Lorentz-boosted frame. Provided ratio relaxation time for shear stress tensor, $\tau_\pi$, to sound attenuation length, $\Gamma_s = 4\eta/3(\varepsilon+P)$, fulfills certain asymptotic condition, motion give rise stable solutions. Although group velocity associated with perturbations may exceed...
Effects of the bulk viscosity on elliptic flow are studied. To introduce a realistic equation state and transport coefficients, we apply results lattice QCD hadron resonance gas calculations for these quantities. We found that acts in non trivial manner $v_{2}$. The reduction $v_{2}$ is more effective at low $p_{T}$ compared to case shear viscosity, whereas high $p_{T}$, situation reversed, leading enhancement. argue this caused by competition critical behaviors coefficients. further Grad's...
We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look minimal structure such which satisfies covariance and causality by introducing memory effect in irreversible currents. Our has much simpler thus several advantages practical purposes compared to Israel-Stewart (IS). It can readily be applied full three-dimensional hydrodynamical calculations. apply our Bjorken model results are shown analogous IS.
The stability and causality of the Landau-Lifshitz theory Israel-Stewart type causal dissipative hydrodynamics are discussed. We show that problem acausality instability correlated in relativistic is induced by acausality. further discuss scaling solution. solution can be unstable against inhomogeneous perturbations.
We investigate effects of the vector interaction on chiral and color superconducting (CSC) phase transitions at finite density temperature in a simple Nambu-Jona-Lasinio model. It is shown that repulsive density-density coming from term, which present effective models but has been omitted, enhances competition between symmerty breaking (χSB) CSC transition, thereby makes thermodynamic potential have shallow minimum over wide range values correlated order parameters. find when coupling...
We derive the equations of second order dissipative fluid dynamics from relativistic Boltzmann equation following method W. Israel and J. M. Stewart. present a frame independent calculation all first- second-order terms their coefficients using linearised collision integral. Therefore, we restore that were previously neglected in original papers
We investigate the possible precursory phenomena of color superconductivity in quark matter at finite temperature T with use a low-energy effective theory QCD. It is found that fluctuating pair field exists prominent strength even well above critical ${T}_{c}.$ show collective has complex energy located second Riemann sheet, which approaches origin as lowered to discuss relevance precursor observables be detected heavy ion collisions.
The hydrodynamic model including the spin degree of freedom and electromagnetic field is discussed. In this derivation, we apply electromagnetism for a macroscopic medium proposed by Minkowski. For equation motion spin, assume that representation Pauli reproduced when many-body effect neglected. Then spin-magnetic interaction in converted to part magnetization. fluid stress tensors induced are obtained employing algebraic positivity entropy production framework linear irreversible...
The microscopic formulae of the bulk viscosity $\zeta $ and corresponding relaxation time $\tau_{\Pi}$ in causal dissipative relativistic fluid dynamics are derived by using projection operator method. In applying these to pionic fluid, we find that renormalizable energy-momentum tensor should be employed obtain consistent results. leading order approximation chiral perturbation theory, is enhanced near QCD phase transition related as $\tau_{\Pi}=\zeta /[\beta \{(1/3-c_{s}^{2})(\epsilon...
The stochastic variational method is applied to particle systems and continuum mediums. As the brief review of this method, we first discuss application Lagrangians derive a diffusion-type equation Schr\"{o}dinger with minimum gauge coupling. We further extend mediums show that Navier-Stokes, Gross-Pitaevskii generalized diffusion equations are derived. correction term for Navier-Stokes also obtained in method. meaning by comparing equation.
In this work, we examine the effect of shear and bulk viscosities on elliptic flow by taking a realistic parameterization viscous coefficients, η ζ, their respective relaxation times, τ π Π .We argue that behaviors close to ideal fluid observed at RHIC energies may be related non-trivial temperature dependence these transport coefficients.
A formula to calculate the transport coefficients of causal dissipative hydrodynamics is derived by using projection operator method (Mori-Zwanzig formalism) [T. Koide, Phys. Rev. E 75, 060103(R) (2007)]. This an extension Green-Kubo-Nakano (GKN) case non-Newtonian fluids, which essential factor preserve relativistic causality in hydrodynamics. generalization GKN sense that it can reproduce a certain limit. In this work, we extend previous work so as apply more general situations.
We show that the pseudogap of quark density states is formed in hot matter as a precursory phenomenon color superconductivity on basis low-energy effective theory. clarify decaying process quarks near Fermi surface to hole and diquark soft mode $(\mathrm{q}\mathrm{q}{)}_{\mathrm{s}\mathrm{o}\mathrm{f}\mathrm{t}}$ responsible for formation pseudogap. Our result suggests universal strong coupling superconductors.
The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem acausality and breaking sum rules. In this Rapid Communication, we propose a to calculate transport coefficients causal based on projection operator method. As concrete examples, derive expressions for diffusion coefficient, shear viscosity corresponding relaxation times.
The shear viscosity coefficient and the corresponding relaxation time for causal dissipative hydrodynamics are calculated based on microscopic formula proposed in T. Koide Kodama [Phys. Rev. E 78, 051107 (2008)]. Here, exact is transformed into a more compact form applied to evaluate these transport coefficients chiral perturbation theory perturbative QCD. It shown that leading order calculation, $\ensuremath{\eta}$ reduces of ordinary Green-Kubo-Nakano formula,...
Proceedings of ISMD08
We derive a coarse-grained equation of motion number density by applying the projection operator method to non-relativistic model. The derived is an integrodifferential and contains memory effect. consistent with causality sum rule associated conservation in low momentum limit, contrast usual acausal diffusion equations given using Fick's law. After employing Markov approximation, we find that has similar form causal equation. Our result suggests current-current correlations are not...
We studied shock propagation and its stability with causal dissipative hydrodynamics in ($1+1$)-dimensional systems. show that the presence of usual viscosity is not enough to stabilize solution. This problem solved by introducing an additional related coarse-grain scale theory.
We extend the stochastic energetics to a relativistic system. The thermodynamic laws and equipartition theorem are discussed for Brownian particle first second law of thermodynamics in this formalism derived. relation between rate heat transfer is case together with nature noise term.
We present a simple and general argument showing that class of dynamical correlations give rise to the so-called Tsallis nonextensive statistics. An example system having such dynamics is given, exhibiting non-Boltzmann energy distribution. A relation with prethermalization processes discussed.
We consider the modification of Cahn-Hilliard equation when a time delay process through memory function is taken into account. then study spinodal decomposition in fast phase transitions associated with conserved order parameter. Finite-time effects are seen to affect dynamics transition at short times and have effect delaying, significant way, rapid growth parameter that follows quench region. These important several systems characterized by processes, like nonequilibrium early universe...