L.D. LANDAU’s research while affiliated with Humboldt-Universität zu Berlin and other places

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Publications (268)


Fluid Mechanics: Landau and Lifshitz: Course of Theoretical Physics
  • Book

September 2013

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1,501 Reads

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651 Citations

L D Landau

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E M Lifshitz

Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists.











Citations (67)


... where is the number density of electrons, is the electric charge, is the effective mass of the electron, and the permittivity of free space. is the collision frequency (between electrons and neutral particles) defined as [2]: ...

Reference:

Numerical prediction of plasma formation on a sphere in hypersonic sub-orbital flight regime
THE FUNDAMENTAL PRINCIPLES OF STATISTICAL PHYSICS
  • Citing Chapter
  • December 1980

... However, zeroth order phase transitions cannot occur in thermodynamically stable systems and are often an artefact of the thermodynamic approximation. Indeed, recall that in any thermodynamically stable phase in the grand-canonical ensemble,´G must be a convex function of T and µ [73], and this is not possible for zeroth order phase transition away from the strict thermodynamic limit. We interpret the presence of this "forbidden" zeroth order transition as indicating that we are missing a novel phase altogether for the single charge case. ...

THE GIBBS DISTRIBUTION
  • Citing Chapter
  • December 1980

... This approximate model is the basis for our results and can be solved exactly using methods from Gaussian statistical field theory. 77 For mathematical details, the reader is referred to our previous theoretical work in which the procedure to solve the model is identical. Details about the parametrization of the model are provided in the supplementary information. ...

FLUCTUATIONS
  • Citing Chapter
  • December 1980

... According to Landau theory [1,2], one of the milestones of classical statistical mechanics, phases separated by a phase transition can be distinguished by a change in the behavior of a local order parameter, enabling to assess the macroscopic order in a system's phase. In particular, a non-zero local order parameter is a manifestation of spontaneous symmetry breaking [3][4][5] and the establishment of a macroscopic order that explicitly violates one of the specific symmetries of the theory. ...

PHASE TRANSITIONS OF THE SECOND KIND AND CRITICAL PHENOMENA
  • Citing Chapter
  • December 1980

... His ultimate wish was to study the axially symmetric case. Since an electromagnetic field can be modeled as a photon gas [22,30], a possible way to obtain understanding of the properties of solutions of the Einstein-Maxwell system is to study solutions of the massless Einstein-Vlasov system. In the spherically symmetric case highly relativistic solutions of the two systems are indeed very similar, see [14]. ...

THE FERMI AND BOSE DISTRIBUTIONS
  • Citing Chapter
  • December 1980

... Furthermore, we extend the mathematical structure by incorporating higher-rank tensors to describe the behavior of velocity fields under perturbations. This extension is inspired by the comprehensive treatment of fluid mechanics by Landau and Lifshitz [2], and it allows for a more detailed analysis of flow instability and the transition from laminar to turbulent motion. The result is a more robust analytical toolset for studying these phenomena, providing new insights into the energy cascades and dissipation mechanisms in turbulent flows. ...

Part I. (Course of Theoretical Physics, v. 5)
  • Citing Article
  • January 1980