[ English | Japanese ]
Lattice models of 2D (and 3D) liquid crystal:
Self-Assembled Rigid Rods:
(Polydispersive, Center of monomers are on the lattice.)
1507.04590:
Nikolai I. Lebovka, Yuri Yu. Tarasevich, Dmitri O. Dubinin, Valeri V. Laptev, Nikolai V. Vygornitskii,
"Jamming and percolation in generalized models of random sequential adsorption of linear $k$-mers on a square lattice"
1410.0307:
J. F. Stilck, R. Rajesh,
"Polydispersed rods on the square lattice"
1303.0922:
L. G. Lopez, D. H. Linares, A. J. Ramirez-Pastor, D. A. Stariolo, S. A. Cannas,
"Critical behavior of self-assembled rigid rods on two-dimensional lattices: Bethe-Peierls approximation and Monte Carlo simulations"
1211.0896:
L. G. Lopez, A. J. Ramirez-Pastor,
"Adsorption of Self-Assembled Rigid Rods on Two-Dimensional Lattices"
1207.7313:
N. G. Almarza, J. M. Tavares, M. M. Telo da Gama,
"The nature of the ordered phase of the confined self-assembled rigid rod model"
1205.0902:
N. G. Almarza, J. M. Tavares, M. M. Telo da Gama,
"Reply to Comment on Effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods"
1205.0274:
L. G. Lopez, D. H. Linares, A. J. Ramirez-Pastor,
"Comment on: Effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods"
1010.3937:
N.G. Almarza, J. M. Tavares, M. M. Telo da Gama,
"The effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods"
1010.2519:
L. G. Lopez, D. H. Linares, A. J. Ramirez-Pastor, S. A. Cannas,
"Phase diagram of self-assembled rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations"
1010.2517:
L. G. Lopez, D. H. Linares, A. J. Ramirez-Pastor,
"Critical behavior of self-assembled rigid rods on triangular and honeycomb lattices"
0904.0269:
L. G. Lopez, D. H. Linares, A. J. Ramirez-Pastor,
"Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice"
0902.PRE:
J. M. Tavares, B. Holder, and M. M. Telo da Gama,
"Structure and phase diagram of self-assembled rigid rods: Equilibrium polydispersity and nematic ordering in two dimensions"
Rigid Rods:
(Fixed Length, Monomers are on the Lattice/Face/Plaquette.)
2208.04397:
Lucas R. Rodrigues, J. F. Stilck, W. G. Dantas,
"Entropy of rigid k-mers on a square lattice"
2109.07881:
Aagam Shah, Deepak Dhar, R. Rajesh,
"The phase transition from nematic to high-density disordered phase in a system of hard rods on a lattice"
2012.07223:
Deepak Dhar, R. Rajesh,
"Entropy of fully packed hard rigid rods on d-dimensional hyper-cubic lattices"
2002.00875:
Christophe Chatelain, Andrej Gendiar,
"Absence of logarithmic divergence of the entanglement entropies at the phase transitions of a 2D classical hard rod model"
1706.05185:
A. Gschwind, M. Klopotek, Y. Ai, M. Oettel,
"The isotropic--nematic transition for hard rods on a three--dimensional (3D) cubic lattice"
1705.10531:
N. Vigneshwar, Deepak Dhar, R. Rajesh,
"Different phases of a system of hard rods on three dimensional cubic lattice"
1601.02198:
Trisha Nath, Deepak Dhar, R. Rajesh,
"Stability of columnar order in assemblies of hard rectangles or squares"
1510.07375:
Joyjit Kundu, Jurgen F. Stilck, R. Rajesh,
"Phase diagram of a bidispersed hard rod lattice gas in two dimensions"
1412.7267:
Yuri Yu. Tarasevich, Valeri V. Laptev, Nikolai V. Vygornitskii, Nikolai I. Lebovka,
"Impact of defects on percolation in random sequential adsorption of linear k-mers on square lattice"
1408.4943:
Kabir Ramola, Kedar Damle, Deepak Dhar,
"Columnar order and Ashkin-Teller criticality in mixtures of hard-squares and dimers"
1401.5590:
Joyjit Kundu, R. Rajesh,
"Phase transitions in a system of hard rectangles on the square lattice"
1211.2536:
Joyjit Kundu, R. Rajesh, Deepak Dhar, Jurgen F. Stilck,
"The nematic-disordered phase transition in systems of long rigid rods on two dimensional lattices"
1204.4484:
Kabir Ramola, Deepak Dhar,
"High-Activity Perturbation Expansion for the Hard Square Lattice Gas"
1106.2368:
Jeferson J. Arenzon, Deepak Dhar, Ronald Dickman,
"Glassy dynamics and hysteresis in a linear system of orientable hard rods"
0804.3614:
D. A. Matoz-Fernandez, D. H. Linares, A.J. Ramirez-Pastor,
"Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations"
0712.4361:
D. H. Linares, F. Roma, A. J. Ramirez-Pastor,
"Entropy-driven phase transition in a system of long rods on a square lattice"
0708.0395:
D. A. Matoz-Fernandez, D. H. Linares, A. J. Ramirez-Pastor,
"Determination of the Critical Exponents for the Isotropic-Nematic Phase Transition in a System of Long Rods on Two-dimensional Lattices: Universality of the Transition"
cond-mat/0611361:
Anandamohan Ghosh, Deepak Dhar,
"On the orientational ordering of long rods on a lattice"
cond-mat/0606391:
P. M. Pasinetti, F. Roma, J. L. Riccardo, A. J. Ramirez-Pastor,
"Critical behavior of repulsive linear $k$-mers on triangular lattices"
Vertex Model:
(Polydispersive, Center of monomers are on the bond/link.)
cond-mat/0012490:
Hiroshi Takasaki, Tomotoshi Nishino, Yasuhiro Hieida,
"Phase Diagram of a 2D Vertex Model"
Random Sequential Adsorption:
(of linear k-mers.)
1109.3271:
Nikolai I. Lebovka, Natalia N. Karmazina, Yuri Yu. Tarasevich, Valeri V. Laptev,
"Random sequential adsorption of partially oriented linear k-mers on square lattice"
Others (Experiment, etc.):
(.... Chozen by chance ....)
1810.06800:
M. G. Slutskii, L. Yu. Barash, Yu. Yu. Tarasevich,
"Percolation and jamming of random sequential adsorption samples of large linear k-mers on a square lattice"
1712.02301:
Dipanjan Mandal, Trisha Nath, R. Rajesh,
"Phase transitions in a system of hard Y-shaped particles on the triangular lattice"
1702.02332:
Dipanjan Mandal, Trisha Nath, R. Rajesh,
"Estimating the Critical Parameters of the Hard Square Lattice Gas Model"
1608.02924:
Rogerio Costa Hart, Fabio David Alves Aarao Reis,
"Random sequential adsorption of polydisperse mixtures on lattices"
1607.06851:
Yuri Martinez-Raton, Miguel Gonzalez-Pinto, Enrique Velasco,
"Biaxial nematic phase stability and demixing behaviour in monolayers of rod-plate mixtures"
cond-mat/0406175:
Kirstin Purdy, Szabolcs Varga, Amparo Galindo, George Jackson, Seth Fraden,
"Nematic phase transitions in mixtures of thin and thick colloidal rods"
(This page is under construction.)
Please contact to nishino@kobe-u.ac.jp about this page.
Link to >>>>
DMRG Home Page >>>>