Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory
نویسندگان
چکیده
منابع مشابه
Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory.
Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse distance decay. In the surface picture one easily obtains the Haldane relation, and identifies the scaling exponents governing the low energy, Luttinger liquid...
متن کاملBosonizations, Vicinal Surfaces, and Hydrodynamic Fluctuation Theory
We relate bosonic density uctuations of a Fermi uid in one dimension to surface uctuations. Thereby we easily identify the parameters governing the low energy, Luttinger liquid behavior. In particular we recover the Haldane relation in case the surface is tilted only transversely to the Euclidean time direction. We develop a hydrodynamic uctuation theory for the world lines of particles. Since ...
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Two interaction mechanisms of particles in a fluid are proposed on base of forces, mediated by hydrodynamic thermal fluctuations. The first one is similar to the conventional van der Waals interaction, but instead of been mediated by electromagnetic fluctuations, it is mediated by fluctuations of hydrodynamic sound waves. The second one is due to a thermal drift of particles to the region with ...
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We present an analysis of the vibrational dynamics of metal vicinal surfaces using the embedded atom method to describe the interaction potential and both a real space Green’s function method and a slab method to calculate the phonons. We report two main general characteristics : a global shift of the surface vibrational density of states resulting from a softening of the force field. The latte...
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We extend an existing Bose-Fermi equivalence formula to two-dimensional Euclidean space-times with arbitrary compact topology. The result relates the nonchiral Dirac partition function to that of a scalar field, times a theta function. The proof is a short application of methods from complex geometry and Quillen's determinant constructions. Disciplines Physical Sciences and Mathematics | Physic...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.60.6411