Non-mean-field critical exponent in a mean-field model: Dynamics versus statistical mechanics

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-mean-field critical exponent in a mean-field model: dynamics versus statistical mechanics.

Mean-field theory tells us that the classical critical exponent of susceptibility is twice that of magnetization. However, linear response theory based on the Vlasov equation, which is naturally introduced by the mean-field nature, makes the former exponent half of the latter for families of quasistationary states having second order phase transitions in the Hamiltonian mean-field model and its...

متن کامل

Abstract: a Mean-field Statistical Mechanics Model for Regulation Networks

A MEAN-FIELD STATISTICAL MECHANICS MODEL FOR REGULATION NETWORKS EDUARDO JORDAO NEVES Let G = {1, . . . , n} represent the set of biochemical components interacting in a regulation network and denote by xi(t) ∈ R the density of component i at time t. In its simpler version the Interacting Markov Chains (IMC) model approach associates Ni two-state Markov chains to each component i. These N = ∑n ...

متن کامل

Chaos and Statistical Mechanics in the Hamiltonian Mean Field model

We study the dynamical and statistical behavior of the Hamiltonian Mean Field (HMF) model in order to investigate the relation between microscopic chaos and phase transitions. HMF is a simple toy model of N fully-coupled rotators which shows a second order phase transition. The canonical thermodynamical solution is briefly recalled and its predictions are tested numerically at finite N . The Vl...

متن کامل

A statistical theory of the mean field

A statistical theory of the mean field is developed. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction, obtained after the average interaction is removed, are random with the average value of zero. With these two assumptions one obtains explicit expressions for the mean field and ...

متن کامل

Exact Stochastic Mean-Field dynamics

Abstract. The exact evolution of a system coupled to a complex environment can be described by a stochastic mean-field evolution of the reduced system density. The formalism developed in Ref. [1] is illustrated in the Caldeira-Leggett model where a harmonic oscillator is coupled to a bath of harmonic oscillators. Similar exact reformulation could be used to extend mean-field transport theories ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review E

سال: 2014

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.89.032131