We investigate the relaxation of boundless and anisotropic quasiparticle systems, in liquid 4He, with given initial values of momentum and energy densities. The evolution is governed by the dispersion curve which determines the interactions between quasi-particles. The first stage of the relaxation is the rapid creation of a quasistationary low-energy phonon system. This system transforms to another quasistationary system which contains high-energy phonons as well as low energy-phonons. Finally the system evolves to a stationary system of phonons and rotons. The temperature T and the drift velocity u are found for the closed quasi-particle system during its relaxation. This allows us to study the quasi-particle energy and the angular distribution of momentum, and the thermodynamic functions of the quasi-particles system, at each of stage of its evolution.
Similar content being viewed by others
References
Wyatt A.F.G., Lockerbie N.A., Sherlock R.A. (1989). J. Phys.: Condens. Matter 1: 3507
Tucker M.A.H., Wyatt A.F.G. (1994). J. Phys.: Condens. Matter 6: 2813
Wyatt A.F.G., Tucker M.A.H., Adamenko I.N., Nemchenko K.E., Zhukov A.V. (2000). Physica B 280, 36
I. N. Adamenko, K. E. Nemchenko and A. F. G. Wyatt, Low Temp. Phys. 29, 11 (2003); (Fiz. Nizk. Temp. 29, 16 (2003)).
Adamenko I.N., Nemchenko K.E., Zhukov A.V., Tucker M.A.H., Wyatt A.F.G. (1999). Phys. Rev. Lett. 82: 1482
Wyatt A.F.G., Tucker M.A.H., Adamenko I.N., Nemchenko K.E., Zhukov A.V. (2000). Phys. Rev. B 62: 3029
A. F. G. Wyatt and M. Brown, Physica B 165 and 166, 495 (1990).
Brown M., Wyatt A.F.G. (1990). J. Phys.: Condens. Matter 2: 5025
Tucker M.A.H., Wyatt A.F.G. (1994). J. Phys.: Condens. Matter 6: 2825
Maris H.J., Massey W.E. (1970). Phys. Rev. Lett. 25: 220
Jäckle J., Kerr K.W. (1971). Phys. Rev. Lett. 27: 654
I. N. Adamenko, Yu. A. Kitsenko, K. E. Nemchenko, V. A. Slipko, and A. F. G. Wyatt, Low Temp. Phys. 31, 459 (2005) (Fiz. Nizk. Temp. 31 607 (2005)).
Adamenko I.N., Kitsenko Yu.A., Nemchenko K.E., Slipko V.A., Wyatt A.F.G. (2006). Phys. Rev. B 73, 134505
I. N. Adamenko, K. E. Nemchenko, and A. F. G. Wyatt, Low Temp. Phys. 28, 85 (2002) (Fiz. Nizk. Temp. 28, 123 (2002)).
Vovk R.V., Williams C.D.H., Wyatt A.F.G. (2004). Phys. Rev. B 69: 144524
Adamenko I.N., Nemchenko K.E., Slipko V.A., Wyatt A.F.G. (2004). Phys. Rev. B 69: 144525
Apalkov V.M., Portnoi M.E. (2002). Phys. Rev. B 65: 125310
Apalkov V.M., Portnoi M.E. (2002). Phys. Rev. B 66: 121303
Khalatnikov I.M. (1965). An Introduction to the Theory of Superfluidity. W. A. Benjamin, New York, Amsterdam
R. J. Donelly and P. H. Roberts, J. Low Temp. Phys. 27, 687 (1977); R. J. Donelly, J. A. Donelly, and R. N. Hill, J. Low Temp. Phys. 44, 471 (1981).
A. F. Andreev and L. A. Melnikovsky, JETP Lett. 78, 574 (2003) (Pis’ma v JETF, 78, 1063 (2003)).
Adamenko I.N., Nemchenko K.E., Slipko V.A., Wyatt A.F.G. (2006). Phys. Rev. Lett. 96: 065301
Adamenko I.N., Nemchenko K.E., Slipko V.A., Wyatt A.F.G. (2006). J. Phys.: Condens. Matter 18: 2805
Tucker M.A.H., Wyatt A.F.G. (1994). Physica B 194: 551
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Adamenko, I.N., Nemchenko, K.E., Slipko, V.A. et al. Relaxation of Anisotropic Systems of Quasi-particles in Superfluid Helium. J Low Temp Phys 145, 387–407 (2006). https://doi.org/10.1007/s10909-006-9250-4
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-006-9250-4