scholarly journals Universality class of interactingk-mers in a two-dimensional lattice system

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
F. Romá ◽  
A. J. Ramirez-Pastor ◽  
J. L. Riccardo
Keyword(s):  
Universality Class ◽  
Lattice System ◽  
Two Dimensional ◽  
Dimensional Lattice

scholarly journals Regular Mixing in a Two-Dimensional Lattice System: The Coadsorption of N and O on Ru(0001)

1998 ◽  
Vol 81 (16) ◽  
pp. 3483-3486 ◽  
Author(s):  
C. Nagl ◽  
R. Schuster ◽  
S. Renisch ◽  
G. Ertl
Keyword(s):  
Lattice System ◽  
Two Dimensional ◽  
Dimensional Lattice

Transverse wall instabilities on a driven, damped two-dimensional lattice system

1989 ◽  
Vol 39 (13) ◽  
pp. 9500-9507 ◽  
Author(s):  
J. Pouget ◽  
S. Aubry ◽  
A. R. Bishop ◽  
P. S. Lomdahl
Keyword(s):  
Lattice System ◽  
Two Dimensional ◽  
Transverse Wall ◽  
Dimensional Lattice

An efficient algorithm for computing the primitive bases of a general lattice plane

2015 ◽  
Vol 48 (2) ◽  
pp. 585-588 ◽  
Author(s):  
Arash D. Banadaki ◽  
Srikanth Patala
Keyword(s):  
Experimental Analysis ◽  
Efficient Algorithm ◽  
Lattice System ◽  
Lattice Plane ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
General Lattice ◽  
Arbitrary Lattice ◽  
Interface Structures ◽  
Basis Vectors

The atomistic structures of interfaces and their properties are profoundly influenced by the underlying crystallographic symmetries. Whereas the theory of bicrystallography helps in understanding the symmetries of interfaces, an efficient methodology for computing the primitive basis vectors of the two-dimensional lattice of an interface does not exist. In this article, an algorithm for computing the basis vectors for a plane with Miller indices (hkl) in an arbitrary lattice system is presented. This technique is expected to become a routine tool for both computational and experimental analysis of interface structures.

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

scholarly journals Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles.

Soft Matter ◽  
2021 ◽  
Author(s):  
Claudio Maggi ◽  
Matteo Paoluzzi ◽  
Andrea Crisanti ◽  
Emanuela Zaccarelli ◽  
Nicoletta Gnan
Keyword(s):  
Phase Separation ◽  
Critical Point ◽  
Computer Simulations ◽  
Large Scale ◽  
Universality Class ◽  
Critical Behaviour ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Active Particles ◽  
Two Dimensional Model

We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the systems critical behaviour close to the critical point...

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