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Stochastic methods in quantum field theory and hydrodynamics
Physics Reports, 1981Abstract We give a review of recent work in quantum field theory and hydrodynamics, in which methods of stochastic analysis, in particular of stochastic equations, are used. The review includes the discussion of the canonical formalism for models of quantum fields as well as the discussion of statistical solutions of the Euler equations for the ...
Raphaël Høegh-Krohn
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Mean field theory of the hydrodynamics of concentrated polymer solutions
Journal of Chemical Physics, 1978A self-consistent theory of the hydrodynamics of concentrated polymer solutions is derived. The lowest order approximation within this theory is equivalent to the result of a diagrammatic summation of the multiple scattering expansion carried out by Freed and Edwards, and it automatically provides the generalization to the case where chain interactions
Karl F Freed, Horia Metiu, Freed Karl F
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In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a first principle microscopic estimation, have been analyzed.
Sukanya Mitra
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Relativistic Guiding-Center Motion: Action Principle, Kinetic Theory and Hydrodynamics
We treat the guiding-center dynamics in a varying external Maxwell field using a relativistically covariant action principle which reproduces the known Vandervoort expression for the drift velocity and extends it to curved spacetime.
Dam Thanh Son, Mikhail Stephanov
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Hydrodynamics as the effective field theory of strong-to-weak spontaneous symmetry breaking
Inspired by the hunt for new phases of matter in quantum mixed states, it has recently been proposed that the equivalence of microcanonical and canonical ensembles in statistical mechanics is a manifestation of strong-to-weak spontaneous symmetry ...
Xiaoyang Huang +2 more
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Hydrodynamic theory of electromagnetic fields in continuous media
Physical Review Letters, 1993The hydrodynamic Maxwell equations of continuous media, valid for large amplitudes and small frequencies, are derived. As any hydrodynamic theory, these equations are universal, nonlinear, and irreversible. Consequences for dielectric liquids, ferrofluids, superconductors, and nematic liquid crystals are briefly outlined.
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Hydrodynamical description of theories of gauge fields interacting with matter fields
Reports on Mathematical Physics, 1985The full set of gauge-invariants is found for three models respectively: 1) Scalar electrodynamics, 2) Model with gauge group SU(2) in the fundamental representation, 3) Model with gauge group SU(2) in the contragradient representation. It provides an effective parametrization of equivalent classes of configurations.
Kijowski, J., Rudolph, G.
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Pilot-wave hydrodynamics, hydrodynamic quantum analogs, and hydrodynamic quantum field theory
2020In 2005, Yves Couder and Emmanuel Fort discovered that droplets walking on a vibrating fluid bath exhibit several features previously thought to be exclusive to the microscopic, quantum realm. These walking droplets propel themselves by virtue of a resonant interaction with their own wave field, and so represent the first macroscopic realization of a ...
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From field theory to the hydrodynamics of relativistic superfluids
2014Auf makroskopischer Ebene werden Supraflüssigkeiten üblicherweise durch ein Zwei-Flüssigkeiten-Modell beschrieben. Im Rahmen dieser Dissertation werden die grundlegenden Eigenschaften eines solchen Modells aus einer relativistischen skalaren Quantenfeldtheorie abgeleitet.
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ON THE RELATION BETWEEN QUANTUM HYDRODYNAMICS AND CONVENTIONAL QUANTUM FIELD THEORY
Canadian Journal of Physics, 1954The conditions are examined under which the procedure of quantum hydrodynamics would be a consequence of the conventional quantization procedure, and vice versa. Using the classical nonrelativistic theory of a charged medium as an example, it is shown that the commutation rules of the two procedures differ by a factor 2, if in accordance with an idea ...
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