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Motivated by the consistency of a global anomaly with the second law of thermodynamics, we propose a form for the anomaly induced charge/energy transport in arbitrary even dimensions. In a given dimension, this form exhausts all second law…

High Energy Physics - Theory · Physics 2011-11-04 R. Loganayagam

We study the transport properties of a relativistic fluid affected by chiral and gauge-gravitational anomalies. The computation is performed in the framework of the fluid/gravity correspondence for a 5 dim holographic model with…

High Energy Physics - Theory · Physics 2015-06-16 Eugenio Megias , Francisco Pena-Benitez

We derive effective actions for parity-violating fluids in both $(3+1)$ and $(2+1)$ dimensions, including those with anomalies. As a corollary we confirm the most general constitutive relations for such systems derived previously using…

High Energy Physics - Theory · Physics 2019-01-11 Paolo Glorioso , Hong Liu , Srivatsan Rajagopal

We study parity odd transport at second order in derivative expansion for a non-conformal charged fluid. We see that there are 27 parity odd transport coefficients, of which 12 are non-vanishing in equilibrium. We use the equilibrium…

High Energy Physics - Theory · Physics 2015-06-15 Sayantani Bhattacharyya , Justin R. David , Somyadip Thakur

In this note we explore the constraints imposed by the existence of equilibrium partition on parity violating charged fluids in 1+1 dimensions at zero derivative order. We write the equilibrium partition function consistent with 1+1…

High Energy Physics - Theory · Physics 2015-06-04 Sachin Jain , Tarun Sharma

We compute, in the framework of the fluid/gravity correspondence, the transport coefficients of a relativistic fluid affected by chiral and gauge-gravitational anomalies, including external electromagnetic fields. The computation is…

High Energy Physics - Theory · Physics 2015-06-15 Eugenio Megias , Francisco Pena-Benitez

Using the techniques developed in arxiv: 1203.3544 we compute the universal part of the equilibrium partition function characteristic of a theory with multiple abelian U(1) anomalies in arbitrary even spacetime dimensions. This contribution…

High Energy Physics - Theory · Physics 2015-06-05 Nabamita Banerjee , Suvankar Dutta , Sachin Jain , R. Loganayagam , Tarun Sharma

We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded…

Analysis of PDEs · Mathematics 2024-09-04 Adilson Almeida , Nikolai V. Chemetov , Fernanda Cipriano

In recent years, research and development in nanoscale science and technology have grown significantly, with electrical transport playing a key role. A natural challenge for its description is to shed light on anomalous behaviours observed…

Populations and Evolution · Quantitative Biology 2025-04-10 Sara Bernardi , Paolo Begnamino , Marco Pizzi , Lamberto Rondoni

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

Isotropic fluids in two spatial dimensions can break parity symmetry and sustain transverse stresses which do not lead to dissipation. Corresponding transport coefficients include odd viscosity, odd torque, and odd pressure. We consider an…

Fluid Dynamics · Physics 2023-05-10 Gustavo M. Monteiro , Alexander G. Abanov , Sriram Ganeshan

We analyze the chiral transport terms in relativistic superfluid hydrodynamics. In addition to the spontaneously broken symmetry current, we consider an arbitrary number of unbroken symmetries and extend the results of arXiv:1105.3733. We…

High Energy Physics - Theory · Physics 2013-12-12 Yasha Neiman , Yaron Oz

We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hydrodynamic regime, including the Hall viscosity, and the anomalous Hall…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Matthias Kaminski , Pavel Kovtun , Rene Meyer , Adam Ritz , Amos Yarom

We study the second derivative effects on the constitutive relations of an uncharged parity-even Galilean fluid using the null fluid framework. Null fluids are an equivalent representation of Galilean fluids in terms of a higher dimensional…

High Energy Physics - Theory · Physics 2018-06-06 Nabamita Banerjee , Sayali Atul Bhatkar , Akash Jain

Our goal is to examine the role of anomalies in the hydrodynamic regime of field theories. We employ methods based on gauge/gravity duality to examine R-charge anomalies in the hydrodynamic regime of stronly t'Hooft coupled, large N, N = 4…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. M. Newman

Anomalous hydrodynamics is a low-energy effective theory that captures effects of quantum anomalies. We develop a numerical code of anomalous hydrodynamics and apply it to dynamics of heavy-ion collisions, where anomalous transports are…

Nuclear Theory · Physics 2018-02-01 Masaru Hongo , Yuji Hirono , Tetsufumi Hirano

We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a "locked" phase. Locking a superfluid with SU(2) internal symmetry in 2+1…

High Energy Physics - Theory · Physics 2015-06-19 Carlos Hoyos , Bom Soo Kim , Yaron Oz

The task of detecting anomalous data patterns is as important in practical applications as challenging. In the context of spatial data, recognition of unexpected trajectories brings additional difficulties, such as high dimensionality and…

Modeling of phenomena such as anomalous transport via fractional-order differential equations has been established as an effective alternative to partial differential equations, due to the inherent ability to describe large-scale behavior…

Analysis of PDEs · Mathematics 2021-10-25 Jorge Suzuki , Mamikon Gulian , Mohsen Zayernouri , Marta D'Elia

We consider N=2 supergravity in four dimensions, coupled to an arbitrary number of vector- and hypermultiplets, where abelian isometries of the quaternionic hyperscalar target manifold are gauged. Using a static and spherically or…

High Energy Physics - Theory · Physics 2016-09-14 Dietmar Klemm , Nicolò Petri , Marco Rabbiosi
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