Role of fluctuations in determining finite-size effects in a system undergoing a phase transition

1986 ◽  
Vol 34 (3) ◽  
pp. 2045-2048 ◽  
Author(s):  
Surjit Singh ◽  
R. K. Pathria
Keyword(s):  
Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects

scholarly journals Finite-size effects in disordered λφ4 model

2016 ◽  
Vol 30 (30) ◽  
pp. 1650207 ◽  
Author(s):  
R. Acosta Diaz ◽  
N. F. Svaiter
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Power Law ◽  
Order Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Second Order ◽  
Finite Size Effects ◽  
Power Law Decay ◽  
Second Order Phase Transition

We discuss finite-size effects in one disordered [Formula: see text] model defined in a [Formula: see text]-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a quenched random field. In order to obtain the average value of the free energy of the system, we use the replica method. We first discuss finite-size effects in the one-loop approximation in [Formula: see text] and [Formula: see text]. We show that in both cases, there is a critical length where the system develop a second-order phase transition, when the system presents long-range correlations with power-law decay. Next, we improve the above result studying the gap equation for the size-dependent squared mass, using the composite field operator method. We obtain again that the system present a second-order phase transition with long-range correlation with power-law decay.

scholarly journals Lattice induced crystallization of nanodroplets: the role of finite-size effects and substrate properties in controlling polymorphism

Nanoscale ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 4921-4926 ◽  
Author(s):  
Julien Lam ◽  
James F. Lutsko
Keyword(s):  
Molecular Dynamics ◽  
Size Effects ◽  
Finite Size ◽  
Solid Substrate ◽  
General Phenomenon ◽  
Finite Size Effects ◽  
Substrate Properties ◽  
Dynamics Simulations ◽  
Induced Crystallization

Freezing a nanodroplet deposited on a solid substrate leads to the formation of crystalline structures. We study the inherent mechanisms underlying this general phenomenon by means of molecular dynamics simulations.

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