Glass-like dynamical behavior in hierarchical models submitted to continuous cooling and heating processes

Details Glass-like dynamical behavior in hierarchical models submitted to continuous cooling and heating processes Glass-like dynamical behavior in hierarchical models submitted to continuous cooling and heating processes

2001-03-15

arxiv.org/abs/cond-mat/0103325v2

Physical Review E 64, 041505 (2001).

Physics

Condensed Matter

Statistical Mechanics

20 pages, 7 figures; minor changes, accepted in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.64.041505

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature processes. In cooling processes, a phenomenon analogous to the laboratory glass transition appears. The residual properties are analytically evaluated, and the concept of fictive temperature is discussed on a physical base. The evolution of the system in heating processes is governed by the existence of a normal solution of the evolution equations, which is approached by all the other solutions. This trend of the system is directly related to the glassy hysteresis effects shown by these systems. The existence of the normal solution is not restricted to the linear regime around equilibrium, but it is defined for any arbitrary, far from equilibrium, situation.

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