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We perform extensive Monte Carlo simulations of a two-dimensional bent hard-needle model in both its chiral zig-zag and its achiral bow-shape configurations and present their phase diagrams. We find evidence for a variety of stable phases:…

Statistical Mechanics · Physics 2016-04-15 Raffaele Tavarone , Patrick Charbonneau , Holger Stark

We studied the dynamics of isotropic-nematic transitions in liquid crystalline polymers by integrating time-dependent Ginzburg-Landau equations. In a concentrated solution of rodlike polymers, the rotational diffusion constant Dr of the…

Soft Condensed Matter · Physics 2015-05-28 Shunsuke Yabunaka , Takeaki Araki

We present a theory of the anisotropy tuned quantum phase transition between spin nematic and spin-Peierls phases in S=1 systems with significant bi-quadratic exchange interactions. Based on quantum Monte Carlo studies on finite size…

Strongly Correlated Electrons · Physics 2009-11-13 Christoph M. Puetter , Michael J. Lawler , Hae-Young Kee

We have studied the neutral-ionic transition in organic mixed-stack compounds. A unified model has been derived which, in limiting cases, is equivalent to the models proposed earlier, the donor-acceptor model and the ionic Hubbard model.…

Strongly Correlated Electrons · Physics 2009-11-11 Ö. Legeza , K. Buchta , J. Sólyom

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

Strongly Correlated Electrons · Physics 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

The stability of liquid crystal phases in presence of small amount of non-mesogenic impurities is of general interest for a large spectrum of technological applications and in the theories of binary mixtures. Starting from the known phase…

Soft Condensed Matter · Physics 2014-05-13 Carlos E. Alvarez , Martial Mazars

We studied the nematic isotropic phase transition by applying the functional renormalization group to the Landau-de Gennes model. We derived the flow equations for the effective potential as well as the cubic and quartic "couplings" and the…

Statistical Mechanics · Physics 2018-07-11 Bin Qin , Defu Hou , Mei Huang , Danning Li , Hui Zhang

We investigate the cooperative effects of a single finite chain of monomers near an attractive substrate by first constructing a conformational pseudo-phase diagram based on the thermal fluctuations of energetic and structural quantities.…

Soft Condensed Matter · Physics 2011-07-01 Monika Möddel , Wolfhard Janke , Michael Bachmann

We present an effective elastic theory which {\em quantitatively} describes the stripe phase of the two-dimensional electron gas in high Landau levels ($N\geq2$). The dynamical matrix is obtained with remarkably high precision from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hangmo Yi , H. A. Fertig , R. Cote

We introduce a model for a fluid of polydisperse rounded hard rectangles where the length and width of the rectangular core are fixed, while the roundness is taken into account by the convex envelope of a disk displaced along the perimeter…

Soft Condensed Matter · Physics 2022-09-07 Yuri Martinez-Raton , Enrique Velasco

In multitype lattice gas models with hard-core interaction of Widom--Rowlinson type, there is a competition between the entropy due to the large number of types, and the positional energy and geometry resulting from the exclusion rule and…

Probability · Mathematics 2010-03-16 H. -O. Georgii , V. Zagrebnov

An important aspect of molecular fluids is the relation between orientation and translation parts of the two-particle correlations. Especially the detailed knowledge of the influence of orientation correlations is needed to explain and…

Soft Condensed Matter · Physics 2009-10-31 M. Letz , A. Latz

The percolation behavior of aligned rigid rods of length $k$ ($k$-mers) on two-dimensional triangular lattices has been studied by numerical simulations and finite-size scaling analysis. The $k$-mers, containing $k$ identical units (each…

Statistical Mechanics · Physics 2019-11-13 P. Longone , P. M. Centres , A. J. Ramirez-Pastor

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

Recently, Tavarone et al. (J. Chem. Phys. 143, 114505 (2015)) discussed phase behavior of zig-zag and bow-shaped particles composed of three needles. The authors presented very interesting results of extensive Monte Carlo simulations with…

Soft Condensed Matter · Physics 2018-04-18 Paweł Karbowniczek

We explore the phase diagram of the O($n$) loop model on the square lattice in the $(x,n)$ plane, where $x$ is the weight of a lattice edge covered by a loop. These results are based on transfer-matrix calculations and finite-size scaling.…

Statistical Mechanics · Physics 2013-07-15 Zhe Fu , Wenan Guo , Henk W. J. Blöte

Influence of an external magnetic field on the nematic-isotropic ($N-I$) phase transition in a dispersion model of nematic liquid crystals, where the molecules are either perfectly uniaxial or biaxial (board-like), has been studied by Monte…

Soft Condensed Matter · Physics 2012-12-18 Nababrata Ghoshal , Kisor Mukhopadhyay , Soumen Kumar Roy

We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By performing the infinite density matrix renormalization group with…

Strongly Correlated Electrons · Physics 2021-02-24 Myung-Hoon Chung

We analyze phase transitions in the conditional entropy of a sequence caused by a change in the conditional variables. Such transitions happen, for example, when training to learn the parameters of a system, since the transition from the…

Information Theory · Computer Science 2021-01-07 Kang Gao , Bertrand Hochwald

We analyze the phase behavior of lyotropic nematic liquid crystals in the self-organizing flow, viz. so called active nematics (AN). Their elastic properties are mutually caused by evolution of topological defects (for instance,…

Soft Condensed Matter · Physics 2018-02-20 L. V. Elnikova