On universality in aging ferromagnets
نویسنده
چکیده
This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium. The experimental protocol that we have chosen is the following: the system is prepared in its high-temperature phase and then quenched at the critical temperature Tc. We investigated by mean of Monte Carlo simulations two quantities that are believed to take universal values: the exponent λ/z obtained from the decay of autocorrelation functions and the asymptotic value X∞ of the fluctuation-dissipation ratio X(t, s). This protocol was applied to the Ising model, the 3-state clock model and the 4-state Potts model on square, triangular and honeycomb lattices and to the Ashkin-Teller model at the point belonging at equilibrium to the 3-state Potts model universality class and to a multispin Ising model and the Baxter-Wu model both belonging to the 4-state Potts model universality class at equilibrium.
منابع مشابه
On universality in ageing ferromagnets
This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium. The experimental protocol that we have chosen is the following: the system is prepared in its high-temperature phase and then quenched at the critical temperature Tc. We investigated by mean of Monte Carlo simulations two quantities that are be...
متن کاملUniversality in the entanglement structure of ferromagnets.
Systems of exchange-coupled spins are commonly used to model ferromagnets. The quantum correlations in such magnets are studied using tools from quantum information theory. Isotropic ferromagnets are shown to possess a universal low-temperature density matrix which precludes entanglement between spins, and the mechanism of entanglement cancellation is investigated, revealing a core of states re...
متن کاملScaling Behavior of Response Functions in the Coarsening Dynamics of Disordered Ferromagnets
We study coarsening dynamics in the ferromagnetic random bond Ising model in d = 1, 2. We focus on the validity of super-universality and the scaling properties of the response functions. In the d = 1 case, we obtain a complete understanding of the evolution, from preasymptotic to asymptotic behavior. The corresponding response function shows a clear violation of super-universality. Further, ou...
متن کاملPhase Transitions in Ferromagnets and Singularities
This paper is devoted to the investigation of critical phenomena from the mathematical pint of view. An interesting question in this field is universality (i.e. independence of the type of material and, to some extent, of the type of process) of the so-called critical exponents. We try to show that one can compute the critical exponents using structural stability arguments. The universality is ...
متن کامل2 M ay 1 99 8 Universality of phase transitions of frustrated antiferromagnets
Phase transitions and critical phenomena have been a central issue of statistical physics for many years. In particular, phase transitions of magnets or of ‘spin systems’ have attracted special interest. Thanks to extensive theoretical and experimental studies, we now have rather good understanding of the nature of phase transitions of standard ferromagnets and antiferromagnets. By the term ‘st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008