Barrier height of free energy on confined polymer translocation through a short nano-channel

2006 ◽  
Vol 349 (1) ◽  
pp. 15-19 ◽  
Author(s):  
Yongjun Xie ◽  
Hongtao Yu ◽  
Haiyang Yang ◽  
Qinwei Shi ◽  
Xingyuan Zhang
Keyword(s):  
Free Energy ◽  
Barrier Height ◽  
Nano Channel ◽  
Confined Polymer ◽  
Polymer Translocation

Temperature-Dependent Micro-Crack Propagation

2004 ◽  
Author(s):  
Kazuhiro Kitamura ◽  
I. L. Maksimov
Keyword(s):  
Free Energy ◽  
Crack Propagation ◽  
Crack Length ◽  
Barrier Height ◽  
Finite Temperature ◽  
Energy Barrier ◽  
Free Energy Barrier ◽  
Energy Barriers ◽  
Equilibrium Crack ◽  
Environment Temperature

The crack-lattice trapping phenomenon introduce by R. Thomson et al[1] is studied for the conditions of the Frenkel-Kontrova-type experiment. By using a new method, which allows further model extension for a finite temperature case we are able to describe an equilibrium crack energetics for arbitrary externa conditions and ascertain the crack propagation conditions. Specifically, the system free energy F as a function of nonlinear bond displacement ul for an external forces P and for a finite temperature T is found. The equilibrium values for the displacement ul = ul* and for G* = G(ul*), are obtained. The free-energy barrier height G = Gmax − G* dependence upon P and T is determined. With the help of the exact solution of the equilibrium equations we obtained the free energy as function of crack length G(l,T,P). We found that local free energy barriers take place for every crack length l, which is in contrast to the Thomson model. From the microscopic viewpoint it means that crack advance is controlled by local free energy barriers. We found that near the equilibrium length the crack energy barrier is relatively high, while far from equilibrium crack position, energy barrier height decreases to a finite value. It is worth to note that the barrier height monotonically decrease with the increase of the environment temperature. On the basis of our model the temperature dependence of the crack surface energy will be found, the global energetics of the crack will be described.

Excluded volume effect on confined polymer translocation through a short nanochannel

2006 ◽  
Vol 124 (17) ◽  
pp. 174906 ◽  
Author(s):  
Yongjun Xie ◽  
Haiyang Yang ◽  
Hongtao Yu ◽  
Qinwei Shi ◽  
Xiaoping Wang ◽  
...  
Keyword(s):  
Volume Effect ◽  
Excluded Volume ◽  
Excluded Volume Effect ◽  
Confined Polymer ◽  
Polymer Translocation

ISOBARIC PROCESSES CLOSE TO THE SPINODAL

2004 ◽  
Vol 13 (07) ◽  
pp. 1183-1187
Author(s):  
ANTONIO DELFINO ◽  
JOÃO B. Da SILVA ◽  
JORGE S. De Sá MARTINS ◽  
SUZANA MOSS De OLIVEIRA ◽  
CLAUDETTE E. CORDEIRO
Keyword(s):  
Free Energy ◽  
Critical Point ◽  
Barrier Height ◽  
Life Time ◽  
Metastable States ◽  
Spinodal Point ◽  
Landau Free Energy ◽  
Energy Expansion

We construct a generalized Landau free energy expansion around any spinodal point, for which the usual expansion around the critical point is a particular case. The decay of deeply quenched metastable states close to the spinodal through isobaric processes is analyzed and their mean life time is related to a barrier height, which we compute. The results are compared with those obtained through the use of the usual Landau free energy expansion around the critical point.

Simulation study of the polymer translocation free energy barrier

2013 ◽  
Vol 138 (2) ◽  
pp. 024906 ◽  
Author(s):  
James M. Polson ◽  
Mostafa Fatehi Hassanabad ◽  
Anthony McCaffrey
Keyword(s):  
Free Energy ◽  
Simulation Study ◽  
Energy Barrier ◽  
Free Energy Barrier ◽  
Polymer Translocation
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