Related Experiment Video
Updated: May 21, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Quantum hydrodynamics of strongly coupled electron fluids.
R Schmidt1, B J B Crowley, J Mithen
1Department of Physics, Clarendon Laboratory, University of Oxford, Oxford, United Kingdom.
Summary
We extended classical hydrodynamics to include quantum effects using the Bohm potential. This new quantum hydrodynamics model reveals distinct density-correlation behaviors in electron fluids at high densities, verifiable in future experiments.
Area of Science:
- Quantum hydrodynamics
- Condensed matter physics
- Plasma physics
Background:
- Classical hydrodynamics lacks quantum effects.
- Understanding high-density electron fluids is crucial.
- Nonlocal quantum behavior influences fluid dynamics.
Purpose of the Study:
- Extend classical hydrodynamics to incorporate quantum effects.
- Derive the dynamical structure factor for quantum electron fluids.
- Investigate quantum corrections to electron fluid behavior.
Main Methods:
- Phenomenological Bohm potential inclusion.
- Solving quantum hydrodynamics equations.
- Deriving the dynamical structure factor expression.
Main Results:
- Developed a quantum hydrodynamics formalism.
- Derived an expression for the dynamical structure factor.
- Identified significant dispersion relation differences above 7x10^25 cm^-3.
Conclusions:
- The quantum hydrodynamics formalism accurately describes high-density electron fluids.
- Quantum effects lead to observable differences in dispersion relations.
- Future experiments at large laser facilities can validate the theory.
More Related Videos
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
01:15Dimensionless Groups in Fluid Mechanics
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
01:27Electrostatic Boundary Conditions in Dielectrics
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
01:23Theory of Strong Electrolytes
The interionic forces of the strong electrolytes depend on the solvent's dielectric constant, which is the ability of a solvent to store electrical energy, based on its polarizability. and the solution's concentration. In high-dielectric solvents and in dilute solutions, weak electrostatic forces keep ions apart. However, in low-dielectric solvents or concentrated solutions, stronger interionic forces may cause ions to pair up as ionic doublets despite being fully ionized. The theory of strong...
01:27The Debye–Hückel Theory of Electrolyte Solutions
The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means that cations...
01:28Debye–Huckel–Onsager Conductance Equation
The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...