In this paper we present some phenomenological ideas about the thermodynamics of quantized vortex loops arising in superfluid turbulence. The system of vortex loops may be seen as a dissipative structure, not existing on its own but only under the influence of an external heat flux. Starting from a simple definition of the temperature of the vortex tangle and from the relation between energy and vortex length, we obtain the entropy of the system, as well as the caloric and thermal equations of state, relating internal energy and pressure to temperature and volume. We discuss the connection between our macroscopic results and microscopic results on vortex length distribution function having a potential form.

Jou, D., Mongiovi, M.S., Sciacca, M. (2010). Statistical mechanics and thermodynamics of turbulent quantum vortex tangles. COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 1(2), 216-229 [10.1685/2010CAIM575].

Statistical mechanics and thermodynamics of turbulent quantum vortex tangles

MONGIOVI', Maria Stella;SCIACCA, Michele
2010-01-01

Abstract

In this paper we present some phenomenological ideas about the thermodynamics of quantized vortex loops arising in superfluid turbulence. The system of vortex loops may be seen as a dissipative structure, not existing on its own but only under the influence of an external heat flux. Starting from a simple definition of the temperature of the vortex tangle and from the relation between energy and vortex length, we obtain the entropy of the system, as well as the caloric and thermal equations of state, relating internal energy and pressure to temperature and volume. We discuss the connection between our macroscopic results and microscopic results on vortex length distribution function having a potential form.
Settore MAT/07 - Fisica Matematica
Jou, D., Mongiovi, M.S., Sciacca, M. (2010). Statistical mechanics and thermodynamics of turbulent quantum vortex tangles. COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 1(2), 216-229 [10.1685/2010CAIM575].
File in questo prodotto:
File Dimensione Formato  
CAIM_1, 2(2010) 216-229.pdf

Solo gestori archvio

Descrizione: Articolo
Dimensione 310.18 kB
Formato Adobe PDF
310.18 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/53513
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact