Kosterlitz–Thouless and Manning condensation
نویسندگان
چکیده
منابع مشابه
Manning-Oosawa counterion condensation.
Counterion condensation is a basic feature of 2D electrostatics exhibited by highly charged rodlike polymers such as DNA. In the framework of the Poisson Boltzmann equation with salt, we show that such a polymer of radius a attracts a condensate of thickness RM=A(axi)1/2 where xi is the Debye length and A depends weakly on the polymer charge density q0. To leading order in 1/ln(xi/a), we derive...
متن کاملManning condensation in two dimensions.
We consider a macroion confined to a cylindrical cell and neutralized by oppositely charged counterions. Exact results are obtained for the two-dimensional version of this problem, in which ion-ion and ion-macroion interactions are logarithmic. In particular, the threshold for counterion condensation is found to be the same as predicted by mean-field theory. With further increase of the macroio...
متن کاملOnsager-Manning-Oosawa condensation phenomenon and the effect of salt.
Making use of results pertaining to Painlevé III type equations, we revisit the celebrated Onsager-Manning-Oosawa condensation phenomenon for charged stiff linear polymers, in the mean-field approximation with salt. We obtain analytically the associated critical line charge density and show that it is severely affected by finite salt effects, whereas previous results focused on the no salt limi...
متن کاملGeneralized Manning Condensation Model Captures the RNA Ion Atmosphere.
RNA is highly sensitive to the ionic environment and typically requires Mg(2+) to form compact structures. There is a need for models capable of describing the ion atmosphere surrounding RNA with quantitative accuracy. We present a model of RNA electrostatics and apply it within coarse-grained molecular dynamics simulation. The model treats Mg(2+) ions explicitly to account for ion-ion correlat...
متن کاملCOMPOST STABILITY DETERMINATION Manning
Characterized by moderate and almost unchanging microbial growth, stability is an essential aspect ofcompost quality Low growth rates give benign organisms a competitive advantage over pathogens such as Sulnronellu and &fhrurn, which thnve m high-growth-rate conditions (Inbar et al., 1990). Also, stability prevents nutrients from becommg tied up in rapid microbial growth, allowing them to be av...
متن کاملذخیره 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: Physica A: Statistical Mechanics and its Applications
سال: 1998
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(98)00168-x