Validity of the zero-thermodynamic law in off-equilibrium coupled harmonic oscillators

A. Garriga and F. Ritort
Additional contact information
A. Garriga: Department of Physics, Faculty of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona, Spain
F. Ritort: Department of Physics, Faculty of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona, Spain

The European Physical Journal B: Condensed Matter and Complex Systems, 2001, vol. 20, issue 1, 105-122

Abstract: Abstract: In order to describe the thermodynamics of the glassy systems it has been recently introduced an extra parameter, the effective temperature which generalizes the fluctuation-dissipation theorem (FDT) to off-equilibrium systems and supposedly describes thermal fluctuations around the aging state. Using this concept we investigate the applicability of a zeroth thermodynamic law for non-equilibrium systems. In particular we study two coupled systems of harmonic oscillators with Monte Carlo dynamics. We analyze in detail two types of dynamics: 1) sequential dynamics where the coupling between the subsystems comes only from the Hamiltonian and 2) parallel dynamics where there is a further coupling between the subsystems arising from the dynamics. We show that the coupling described in the first case is not enough to make asymptotically the effective temperatures of the two interacting subsystems equalize, the reason being the too small thermal conductivity between them in the aging state. This explains why different interacting degrees of freedom in structural glasses may stay at different effective temperatures without never mutually thermalizing.

Keywords: PACS.; 64.70.Pf; Glass; transitions; –; 05.70.Ln; Nonequilibrium; and; irreversible; thermodynamics (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/BF01313919 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:20:y:2001:i:1:d:10.1007_bf01313919

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1007/BF01313919

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().