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In this note we have tried to determine how the existence of a local entropy current with non-negative divergence constrains the second order transport coefficients of an uncharged fluid, following the procedure described in…

High Energy Physics - Theory · Physics 2015-06-03 Sayantani Bhattacharyya

We consider the hydrodynamics of supersymmetric fluids. Supersymmetry is broken spontaneously and the low energy spectrum includes a fermionic massless mode, the $\mathit{phonino}$. We use two complementary approaches to describe the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Carlos Hoyos , Boaz Keren-Zur , Yaron Oz

For a spacetime of odd dimensions endowed with a unit vector field, we introduce a new topological current that is identically conserved and whose charge is equal to the Euler character of the even dimensional spacelike foliations. The…

High Energy Physics - Theory · Physics 2015-05-20 Siavash Golkar , Matthew M. Roberts , Dam T. Son

In this paper, we discuss relativistic hydrodynamics for a massless Dirac fermion in $(2+1)$ dimensions, which has the parity anomaly -- a global 't Hooft anomaly between $\mathrm{U}(1)$ and parity symmetries. We investigate how…

High Energy Physics - Theory · Physics 2022-01-12 Takuya Furusawa , Masaru Hongo

We develop a general framework in the renormalization-group (RG) method for extracting a mesoscopic dynamics from an evolution equation by incorporating some excited (fast) modes as additional components to the invariant manifold spanned by…

Fluid Dynamics · Physics 2015-10-19 Kyosuke Tsumura , Yuta Kikuchi , Teiji Kunihiro

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

By combining accurate liquid-vapor coexistence and heat-capacity data, we have unambiguously separated two non-analytical contributions of liquid-gas asymmetry in fluid criticality and proved the validity of "complete scaling" [Fisher et…

Statistical Mechanics · Physics 2009-11-11 Mikhail A. Anisimov , Jingtao Wang

The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at…

High Energy Physics - Theory · Physics 2012-11-06 Manuel Valle

We investigate the time-dependent perturbations of strongly coupled $\mathcal{N} = 4$ SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down…

High Energy Physics - Theory · Physics 2021-06-02 M. Asadi , H. Soltanpanahi , Farid Taghinavaz

We solve second order relativistic hydrodynamics equations for a boost-invariant 1+1-dimensional expanding fluid with an equation of state taken from lattice calculations of the thermodynamics of strongly coupled quark-gluon plasma. We…

High Energy Physics - Phenomenology · Physics 2010-03-19 Krishna Rajagopal , Nilesh Tripuraneni

We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic…

High Energy Physics - Theory · Physics 2009-03-27 Franziska Synatschke , Georg Bergner , Holger Gies , Andreas Wipf

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. In this dissertation, we review the basic formulation…

High Energy Physics - Theory · Physics 2019-11-26 Ahmed Ayad

We re-examine the emergence of a universal non-equilibrium steady state following a local quench between quantum critical heat baths in spatial dimensions greater than one. We show that energy transport proceeds by the formation of an…

High Energy Physics - Theory · Physics 2016-07-13 Andrew Lucas , Koenraad Schalm , Benjamin Doyon , M. J. Bhaseen

People are well aware that, inherently, certain small-scale nonchaotic particle movements are not governed by thermodynamics. Usually, such phenomena are studied by kinetic theory and their energy properties are considered "trivial". In…

Statistical Mechanics · Physics 2025-08-05 Yu Qiao , Zhaoru Shang

We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserve current is not only allowed by symmetries, but is in fact required by triangle anomalies and…

High Energy Physics - Theory · Physics 2013-05-29 Dam T. Son , Piotr Surowka

We present a general hydrodynamic theory of transport in the vicinity of superfluid-insulator transitions in two spatial dimensions described by "Lorentz"-invariant quantum critical points. We allow for a weak impurity scattering rate, a…

Strongly Correlated Electrons · Physics 2008-11-26 Sean A. Hartnoll , Pavel K. Kovtun , Markus Mueller , Subir Sachdev

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Soumya Chakrabarti

Consider a system of particles performing nearest neighbor random walks on the lattice $\ZZ$ under hard--core interaction. The rate for a jump over a given bond is direction--independent and the inverse of the jump rates are i.i.d. random…

Probability · Mathematics 2007-09-05 A. Faggionato , M. Jara , C. Landim

The spontaneous (so-called Quincke) rotation of an uncharged, solid, dielectric, spherical particle under a steady electric field is analyzed, accounting for the inertia of the particle and the transient fluid inertia, or ``hydrodynamic…

Fluid Dynamics · Physics 2025-09-15 Jason K. Kabarowski , Aditya S. Khair , Rahil N. Valani
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