Aging at Criticality in Model C Dynamics Typeset Using Revt E X 1
نویسنده
چکیده
We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an ǫ = 4 − d expansion for vanishing momentum. We briefly discuss their scaling behaviors and the associated scaling forms are determined up to first order in ǫ. The corresponding fluctuation-dissipation ratio has a non trivial large time limit in the aging regime and, up to one-loop order, it is the same as that of the Model A for the physically relevant case N = 1. The comparison with predictions of local scale invariance is also discussed. Typeset using REVTEX
منابع مشابه
From Surface to Random Criticality in Layered Planar Ising Models. Typeset Using Revt E X
A general case of a spatially nonuniform planar layered Ising model, or an equivalent quantum Ising chain, is analysed with an exact functional real space renormalization group. Various surface, finite size, quasiperiodic and random layer (McCoy-Wu) universality classes are obtained and discussed within a single theoretical framework leading to new insights into the nature of random criticality...
متن کاملLyapunov Exponents and Transport in Self-organized Criticality. Typeset Using Revt E X
We discuss the role played by the Lyapunov exponents in the dynamics of the Zhang's model of Self-Organized Criticality. We show that a wide part in the spectrum (slowest modes) is associated to energy transport in the lattice. We give in particular bounds on the first negative Lyapunov exponents in terms of the energy flux dissipated at the boundaries per unit time. We then establish an explic...
متن کاملHot Sandpiles Typeset Using Revt E X
A temperature-like parameter is introduced in ordinary sandpiles models. A temperature dependent probability distribution is assigned for the sand toppling on sites of any height. In mean eld theory criticality is obtained for all the values of temperature and no characteristic avalanche size appears. Numerical simulations supports the existence of criticality at any temperature with apparently...
متن کاملEvidence of a Critical Time in Constrained Kinetic Ising Models Typeset Using Revt E X 1
We study the relaxational dynamics of the one-spin facilitated Ising model introduced by Fredrickson and Andersen. We show the existence of a critical time which separates an initial regime in which the relaxation is exponentially fast and aging is absent from a regime in which relaxation becomes slow and aging effects are present. The presence of this fast exponential process and its associate...
متن کامل5 N ov 2 00 2 Aging at Criticality in Model C Dynamics
We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an ǫ = 4 − d expansion for vanishing momentum. We briefly discuss their scaling behaviors and the associated scaling forms are determined up to first order in ǫ. The corresponding fluctu...
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 2002