scholarly journals Fluctuating fluid dynamics for the QGP in the LHC and BES era

2018 ◽  
Vol 171 ◽  
pp. 16004 ◽  
Author(s):  
Marcus Bluhm ◽  
Marlene Nahrgang ◽  
Thomas Schäfer ◽  
Steffen A. Bass
Keyword(s):  
Fluid Dynamics ◽  
Critical Point ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Baryon Density ◽  
Qcd Critical Point ◽  
Critical Fluctuations ◽  
Lhc Physics ◽  
Dynamical Fluctuations ◽  
The Impact

In an era of high-precision determinations of QGP properties a full incorporation of fluid dynamical fluctuations into our models has become crucial, in particular, when describing the dynamics of small systems or near the conjectured QCD critical point. In this talk we discuss some effects of the propagation of these fluctuations. For LHC physics we focus on fluctuations in the energy-momentum tensor, while the impact of fluctuations in the diffusive net-baryon density is studied to improve our knowledge on the formation of critical fluctuations being searched in current and future BES programs.

scholarly journals Minkowski and Galilei/Newton Fluid Dynamics: A Geometric 3 + 1 Spacetime Perspective

Fluids ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 1 ◽  
Author(s):  
Christian Cardall
Keyword(s):  
Fluid Dynamics ◽  
Particle Number ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Balance Equations ◽  
Tensor Decompositions ◽  
Relativistic Fluid ◽  
Stress Energy ◽  
General Relativistic ◽  
Classical Particles

A kinetic theory of classical particles serves as a unified basis for developing a geometric 3 + 1 spacetime perspective on fluid dynamics capable of embracing both Minkowski and Galilei/Newton spacetimes. Parallel treatment of these cases on as common a footing as possible reveals that the particle four-momentum is better regarded as comprising momentum and inertia rather than momentum and energy; and, consequently, that the object now known as the stress-energy or energy-momentum tensor is more properly understood as a stress-inertia or inertia-momentum tensor. In dealing with both fiducial and comoving frames as fluid dynamics requires, tensor decompositions in terms of the four-velocities of observers associated with these frames render use of coordinate-free geometric notation not only fully viable, but conceptually simplifying. A particle number four-vector, three-momentum (1, 1) tensor, and kinetic energy four-vector characterize a simple fluid and satisfy balance equations involving spacetime divergences on both Minkowski and Galilei/Newton spacetimes. Reduced to a fully 3 + 1 form, these equations yield the familiar conservative formulations of special relativistic and non-relativistic fluid dynamics as partial differential equations in inertial coordinates, and in geometric form will provide a useful conceptual bridge to arbitrary-Lagrange–Euler and general relativistic formulations.

scholarly journals Diffusive dynamics of critical fluctuations near the QCD critical point

2019 ◽  
Vol 99 (11) ◽  
Author(s):  
Marlene Nahrgang ◽  
Marcus Bluhm ◽  
Thomas Schäfer ◽  
Steffen A. Bass
Keyword(s):  
Critical Point ◽  
Qcd Critical Point ◽  
Critical Fluctuations ◽  
Diffusive Dynamics

scholarly journals Scrambling with conservation laws

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Gong Cheng ◽  
Brian Swingle
Keyword(s):  
Field Theory ◽  
Conservation Laws ◽  
Energy Momentum Tensor ◽  
Einstein Gravity ◽  
Momentum Tensor ◽  
Late Time ◽  
Current Operator ◽  
Conformal Field ◽  
Time Value ◽  
The Impact

Abstract In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a d + 1 dimensional (d ≥ 2) holographic conformal field theory with Einstein gravity dual. Using the holographic dictionary, we calculate out-of-time-order-correlators (OTOCs) that involve the conserved U(1) current operator or energy-momentum tensor. We show that these OTOCs approach their late time value as a power law in time, with a universal exponent $$ \frac{d}{2} $$ d 2 . We also generalize the result to compute OTOCs between general operators which have overlap with the conserved charges.

Dynamical Fluctuations Near the QCD Critical Point and Their Impact on the Net-proton Kurtosis

2017 ◽  
Vol 10 (3) ◽  
pp. 907
Author(s):  
C. Herold ◽  
A. Limphirat ◽  
C. Kobdaj ◽  
Y. Yan ◽  
M. Nahrgang
Keyword(s):  
Critical Point ◽  
Qcd Critical Point ◽  
Dynamical Fluctuations

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

Phase separation of binary mixtures induced by soft centrifugal fields

2021 ◽  
Author(s):  
Thomas Zemb ◽  
Rose Rosenberg ◽  
Stjepan Marčelja ◽  
Dirk Haffke ◽  
Jean-François Dufrêche ◽  
...  
Keyword(s):  
Phase Separation ◽  
Critical Point ◽  
Binary Mixtures ◽  
Liquid Mixture ◽  
Model System ◽  
Binary Liquid Mixture ◽  
Miscibility Gap ◽  
Critical Fluctuations ◽  
Binary Liquid

We use the model system ethanol–dodecane to demonstrate that giant critical fluctuations induced by easily accessible weak centrifugal fields as low as 2000g can be observed above the miscibility gap even far from the critical point of a binary liquid mixture.

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