Phase-field simulations and geometrical characterization of cellular solidification fronts

2014 ◽  
Vol 385 ◽  
pp. 140-147 ◽  
Author(s):  
Yiwen Ma ◽  
Mathis Plapp
2015 ◽  
Vol 18 (6) ◽  
pp. 637-652 ◽  
Author(s):  
Prashant Kumar ◽  
Frederic Topin ◽  
Lounes Tadrist

Author(s):  
Talat Körpınar ◽  
Yasin Ünlütürk

AbstractIn this research, we study bienergy and biangles of moving particles lying on the surface of Lorentzian 3-space by using their energy and angle values. We present the geometrical characterization of bienergy of the particle in Darboux vector fields depending on surface. We also give the relationship between bienergy of the surface curve and bienergy of the elastic surface curve. We conclude the paper by providing bienergy-curve graphics for different cases.


2017 ◽  
Vol 269 (3) ◽  
pp. 259-268 ◽  
Author(s):  
ELIJAH SHELTON ◽  
FRIEDHELM SERWANE ◽  
OTGER CAMPÀS

2006 ◽  
Vol 253 (3) ◽  
pp. 1291-1298 ◽  
Author(s):  
L. Labajos-Broncano ◽  
J.A. Antequera-Barroso ◽  
M.L. González-Martín ◽  
J.M. Bruque

1992 ◽  
Vol 06 (11n12) ◽  
pp. 2109-2121
Author(s):  
M. CARFORA ◽  
M. MARTELLINI ◽  
A. MARZUOLI

We provide a non-perturbative geometrical characterization of the partition function of ndimensional quantum gravity based on a rough classification of Riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by the homotopy types of the class of manifolds considered. The results obtained qualitatively coincide, when specialized to dimension two, with those of two-dimensional quantum gravity models based on random triangulations of surfaces.


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