scholarly journals First Order Melting Transition in the Incommensurate Phase

1979 ◽  
Vol 61 (5) ◽  
pp. 1295-1306 ◽  
Author(s):  
H. Yamamoto
1978 ◽  
Vol 41 (11) ◽  
pp. 760-763 ◽  
Author(s):  
J. Suzanne ◽  
J. P. Coulomb ◽  
M. Bienfait ◽  
M. Matecki ◽  
A. Thomy ◽  
...  

Five two-dimensional lattice models, four with rotational isomeric and excluded volume interactions and one with cross links, are used to discuss the theory of the melting transition in polymers. The models have been chosen because they are isomorphic to exactly solvable six vertex and dimer models. The orders of the thermodynamic transitions are extremely varied from model to model, including first-order, 3/2 order and infinite order transitions. These models are used to test and reveal the shortcomings of the Flory–Huggins approximate theory, which is most aptly described as an infinite dimensional theory.


Nature ◽  
1995 ◽  
Vol 375 (6530) ◽  
pp. 373-376 ◽  
Author(s):  
E. Zeldov ◽  
D. Majer ◽  
M. Konczykowski ◽  
V. B. Geshkenbein ◽  
V. M. Vinokur ◽  
...  

1992 ◽  
Vol 46 (17) ◽  
pp. 11190-11193 ◽  
Author(s):  
Jooyoung Lee ◽  
Katherine J. Strandburg

1998 ◽  
Vol 58 (6) ◽  
pp. 3438-3445 ◽  
Author(s):  
Xiao Hu ◽  
Seiji Miyashita ◽  
Masashi Tachiki

1978 ◽  
Vol 56 (3) ◽  
pp. 348-357 ◽  
Author(s):  
A. Caille ◽  
A. Rapini ◽  
M. J. Zuckermann ◽  
A. Cros ◽  
S. Doniach

A simple model for first order phase transitions in monomolecular systems is developed and applied to (i) the condensed mesophase – liquid mesophase chain melting transition of phospholipid mono- and bilayers and (ii) a cooperative chain lifting phase transition found in monolayers of diesters with two polar heads. The excluded volume interactions are included in the model by requiring the polar heads to lie on a two-dimensional hexagonal lattice. The attractive van der Waals interactions are assumed to act between averaged molecular configurations of different surface area per polar head. Both the attractive intermolecular interaction and the description of the neighbourhood of the molecules are analyzed in the molecular field approximation. It is shown that the neighbourhood effects are negligible for the chain melting transition, which can then be described by a [Formula: see text] Ising model. They are, however, shown to be important for the chain lifting transition. The last section contains applications to experimental data and comments on the possibility of extending the model to the description of phospholipid mono- and bilayers with impurities.


1998 ◽  
Vol 77 (4) ◽  
pp. 1001-1010 ◽  
Author(s):  
Hervé M. Carruzzo ◽  
Clare C. Yu

2010 ◽  
Vol 654-656 ◽  
pp. 1512-1515
Author(s):  
Kazufumi Sato ◽  
Satoshi Takizawa ◽  
Tetsuo Mohri

We investigate the melting transition of the solids interacting through a simple pairwise potential using conventional and Wang-Landau Monte Carlo simulation. In the simulations, the atomic displacement is discretized for describing the atomic vibration and each atom is confined within its Voronoi polyhedron. The melting point can be uniquely determined by Wang-Landau approach while the temperature hysteresis inevitably appears in the conventional method. The obtained results show typical feature of first-order transition which is the discontinuous change in the internal energy. We discuss the relation between the limit of superheated state and intrinsic instability of the system through the comparison with two results.


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