Scaling and criticality of the Manning transition

We consider a system consisting of a charged cylinder in the presence of neutralizing counterions. This system is well known to exhibit the Manning transition of counterion condensation onto the charged cylinder. We study the criticality and the scaling properties of the Manning transition, analyzing involved thermodynamic quantities such as condensed fraction, its fluctuation, and heat capacity. Through the Monte Carlo simulations and finite-size scaling analysis, we find that near the transition point the examined quantities exhibit scale-invariant behaviors with specific exponents, which provides an evidence that the Manning transition is a critical phenomenon having a scale-invariant property, analogous to bulk phase transitions. Furthermore, we numerically confirm that such scaling properties are not affected by the coupling strength.
Publisher
SPRINGER
Issue Date
2017-08
Language
English
Keywords

POISSON-BOLTZMANN EQUATION; POLYELECTROLYTE SOLUTIONS; COUNTERION CONDENSATION; INFINITE DILUTION; LIMITING LAWS; SIMULATIONS; ELECTROLYTES; DNA

Citation

EUROPEAN PHYSICAL JOURNAL E, v.40, no.8

ISSN
1292-8941
DOI
10.1140/epje/i2017-11559-7
URI
http://hdl.handle.net/10203/225606
Appears in Collection
NT-Journal Papers(저널논문)
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