Trajectory versus Probability Density Entropy Typeset Using Revt E X 1

نویسندگان

  • Paolo Grigolini
  • Markos Karagiorgis
چکیده

We study the problem of entropy increase of the Bernoulli-shift map without recourse to the concept of trajectory and we discuss whether, and under which conditions if it does, the distribution density entropy coincides with the Kolmogorov-Sinai entropy, namely, with the trajectory entropy. 05.45.+b,03.65.Sq,05.20.-y Typeset using REVTEX 1

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Chaotic Behavior in a Dynamic System Related to the Stationary Path of the Path-integral for a Brownian Particle in a Double-well Potential Typeset Using Revt E X

Considering the path-integral approach to the Brownian motion of a particle in a double-well potential, the joint probability for a possible trajectory (path) is a positive deenite functional of the path. In the practically important low temperature or low friction regime, the probability functional is found to comprise dominant contributions from the stationary paths. The corresponding dynamic...

متن کامل

Trajectory versus probability density entropy.

We show that the widely accepted conviction that a connection can be established between the probability density entropy and the Kolmogorov-Sinai (KS) entropy is questionable. We adopt the definition of density entropy as a functional of a distribution density whose time evolution is determined by a transport equation, conceived as the only prescription to use for the calculation. Although the ...

متن کامل

Adsorption of 4 He on a Single C 60 Typeset Using Revt E X 1

The adsorption of 4He inside and outside a single fullerene C60 is studied. A physisorption potential is proposed. The energetics and structural features of C60HeN clusters are investigated. Particular attention is paid to the growth of the highly pronounced layered density profile. The evolution towards bulk liquid and surface thickness at the free interface are discussed. FILENAME: fuller.tex...

متن کامل

Hot 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 کامل

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 کامل

ذخیره در منابع من


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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008