# Dynamics of the electric current in an ideal electron gas: A sound mode inside the quasiparticles

@article{Grozdanov2015DynamicsOT, title={Dynamics of the electric current in an ideal electron gas: A sound mode inside the quasiparticles}, author={Savso Grozdanov and Janos Polonyi}, journal={Physical Review D}, year={2015}, volume={92}, pages={065009} }

We study the equation of motion for the Noether current in an electron gas within the framework of the Schwinger-Keldysh Closed-Time-Path formalism. The equation is shown to be highly non-linear and irreversible even for a non-interacting, ideal gas of electrons at non-zero density. We truncate the linearised equation of motion, written as the Laurent series in Fourier space, so that the resulting expressions are local in time, both at zero and at small finite temperatures. Furthermore, we show…

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## References

SHOWING 1-10 OF 43 REFERENCES

### Nonequilibrium quantum field theory

- Physics
- 2008

Bringing together the key ideas from nonequilibrium statistical mechanics and powerful methodology from quantum field theory, this 2008 book captures the essence of nonequilibrium quantum field…

### Field Theory of Non-Equilibrium Systems

- Physics
- 2011

The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more…

### Statistical Physics

- PhysicsNature
- 1971

Statistical Physics. By F. Mandl. Pp. xiii + 379. (Wiley: London and New York, July 1971.) £2.75. Statistical Physics. By A. Isihara. Pp. xv + 439. (Academic: New York and London, June 1971.) $18.50;…

### Phys

- Rev. D 91, 105031
- 2015

### Phys

- (N.Y.) 3, 650
- 1962

### JHEP 0603

- 025
- 2006