The Kovacs effect in the one-dimensional Ising model: a linear response analysis

Abstract

We analyze the so-called Kovacs effect in the one-dimensional Ising model with Glauber dynamics. We consider small enough temperature jumps, for which a linear response theory has been recently derived. Within this theory, the Kovacs hump is directly related to the monotonic relaxation function of the energy. The analytical results are compared with extensive Monte Carlo simulations, and an excellent agreement is found. Remarkably, the position of the maximum in the Kovacs hump depends on the fact that the true asymptotic behavior of the relaxation function is different from the stretched exponential describing the relevant part of the relaxation at low temperatures.

accepted for publication in Phys. Rev. E

References in corpus (4)

• Theoretical perspective on the glass transition and amorphous materials
• Kovacs effect in facilitated spin models of strong and fragile glasses
• Memory Effects in the Standard Model for Glasses
• Aging in the trap model as a relaxation further away from equilibrium

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