Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Diverging correlation length

Flere we discuss only briefly the simulation of continuous transitions (see [132. 135] and references therein). Suppose that tire transition is characterized by a non-vanishing order parameter X and a corresponding divergent correlation length We shall be interested in the block average value where the L... [Pg.2267]

Now, assume that we are getting closer to the critical point of our transition, i.e., to the point of the second-order transition. In the case of a uniform system the critical region can be described by the divergent correlation length of statistical fluctuations [138]... [Pg.267]

Ising model harbors a critical point. It can be shown (see [bax82]) that the correlation length = [ln(Ai/A2)] h If H = 0, however, then it can also be shown that limy g+(Ai/Aj) = 1 and, thus, that oo at // = 7 = 0. Since one commonly associates a divergent correlation length with criticality, it is in this sen.se that 7/ = T = 0 may be thought of as a critical point. [Pg.336]

In three dimensions, 9 = 2v l.26 and Ra = (To Q flk Tc=0. i9. Not only are the scaling relations (7.67) and (7.68) obtained from the simplified model in agreement with RG theory, the estimated value of the amplitude ratio R 0.39 is close to the universal theoretical value 7 o = 0-37. This value is confirmed by the most reliable experiments on fluids. Relationships between other thermodynamic properties and the diverging correlation length can be obtained in a similar fashion. [Pg.194]


See other pages where Diverging correlation length is mentioned: [Pg.106]    [Pg.429]    [Pg.531]    [Pg.111]    [Pg.197]    [Pg.562]    [Pg.131]    [Pg.142]    [Pg.215]    [Pg.111]    [Pg.367]    [Pg.443]    [Pg.192]    [Pg.172]    [Pg.52]    [Pg.61]    [Pg.2828]    [Pg.2833]    [Pg.2834]    [Pg.2842]   
See also in sourсe #XX -- [ Pg.172 ]




SEARCH



Correlation length

Divergence

Divergencies

Divergent

© 2024 chempedia.info