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We point out that the smectic-nematic phase transition may considered as a transition of a stack of membranes in $2+\epsilon$ dimensions, in which the layers become so wrinkled that they interpenetrate each other are no longer…

Condensed Matter · Physics 2009-10-31 H. Kleinert

A new phase field crystal (PFC) type theory is presented, which accounts for the full spectrum of solid-liquid-vapor phase transitions within the framework of a single density order parameter. Its equilibrium properties show the most…

Materials Science · Physics 2015-06-23 Gabriel Kocher , Nikolas Provatas

Liquids with quasi - chemical bonding between molecules are described in terms of vertex model. It is shown that this bonding results in liquid - liquid phase transition, which occurs between phases with different mean density of…

Statistical Mechanics · Physics 2007-05-23 L. Son , R. Ryltcev

A flux liquid can condense into a smectic crystal in a pure layered superconductors with the magnetic field oriented nearly parallel to the layers. If the smectic order is commensurate with the layering, this crystal is {\sl stable} to…

Condensed Matter · Physics 2009-10-22 Leon Balents , David R. Nelson

In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De Gennes bulk potential favors the isotropic phase and nematic…

Analysis of PDEs · Mathematics 2021-07-28 Tim Laux , Yuning Liu

Under an electric field, chiral smectic liquid crystals transit usually to the unwound SmC* phase where the helical structure is completely unrolled. Sometimes the sample transits initially towards an intermediate polar state before the…

Soft Condensed Matter · Physics 2019-10-02 H. Dhaouadi , O. Riahi , R. Zgueb , F. Trabelsi , T. Othman

We apply to a liquid of linear molecules the semischematic mode-coupling model, previously introduced to describe the center of mass (COM) slow dynamics of a network-forming molecular liquid. We compare the theoretical predictions and…

Soft Condensed Matter · Physics 2009-10-31 Linda Fabbian , Rolf Schilling , Francesco Sciortino , Piero Tartaglia , Christoph Theis

Using the classical density functional theory of freezing and Monte Carlo computer simulations, we explore the liquid-crystalline phase behavior of hard rectangles on flat and cylindrical manifolds. Moreover, we study the effect of a static…

Soft Condensed Matter · Physics 2018-02-19 Christoph E. Sitta , Frank Smallenburg , Raphael Wittkowski , Hartmut Löwen

A simple model for the angular dependent interaction between C_60 molecules on the face-centered cubic lattice is proposed. The bifurcations of the solutions of the nonlinear integral equations for orientational distribution functions in…

Statistical Mechanics · Physics 2007-05-23 Elena Tareyeva , Tatiana Schelkacheva

A rigorous theory of liquid-crystal transitions is developed starting from the Liouville equation. The starting point is an all-atom description and a set of order parameter field variables that are shown to evolve slowly via Newton's…

Soft Condensed Matter · Physics 2010-01-05 Zeina Shreif , Stephen Pankavich , Peter Ortoleva

In this article, we study the new Q-tensor model previously derived from Onsager's molecular theory by Han \textit{et al.} [Arch. Rational Mech. Anal., 215.3 (2014), pp. 741-809] for static liquid crystal modeling. Taking density and…

Soft Condensed Matter · Physics 2015-06-16 Song Mei , Pingwen Zhang

We investigate the liquid-glass phase transition in a system of point-like particles interacting via a finite-range attractive potential in D-dimensional space. The phase transition is driven by an `entropy crisis' where the available phase…

Disordered Systems and Neural Networks · Physics 2009-11-11 Vik. S. Dotsenko , G. Blatter

We formulate the configurational partition function for dendrimers, taking explicit account of their conformations and segmental interactions. Two approximate schemes are presented, one based on the effective dendrimer-dendrimer…

Materials Science · Physics 2007-05-23 Alexandros G. Vanakaras , Demetri J. Photinos

We introduce shape fluctuations in a liquid-crystalline system by considering an elementary Maier--Saupe lattice model for a mixture of uniaxial and biaxial molecules. Shape variables are treated in the annealed (thermalized) limit. We…

Soft Condensed Matter · Physics 2015-12-09 E. S. Nascimento , E. F. Henriques , A. P. Vieira , S. R. Salinas

Quantum phase transitions have been shown to be highly beneficial for quantum sensing, owing to diverging quantum Fisher information close to criticality. In this work we consider a periodically modulated Lipkin-Meshkov-Glick model to show…

Quantum Physics · Physics 2026-05-19 Rahul Ghosh , Bandita Das , Victor Mukherjee

In this paper, we propose a systematic way of liquid crystal modeling to build connection between microscopic theory and macroscopic theory. A new Q-tensor theory based on Onsager's molecular theory which leads to liquid crystals with…

Analysis of PDEs · Mathematics 2015-06-16 Jiequn Han , Yi Luo , Wei Wang , Pingwen Zhang

We present detailed systematic studies of structural transformations in thin liquid crystal films with the smectic-C to hexatic phase transition. For the first time all possible structures reported in the literature are observed for one…

Soft Condensed Matter · Physics 2009-11-11 P. V. Dolganov , K. I. Belov , V. K. Dolganov , E. I. Demikhov , B. M. Bolotin , E. I. Kats

We identify problems with the standard complex order parameter formalism for smectic-A (SmA) liquid crystals, and discuss possible alternative descriptions of smectic order. In particular, we suggest an approach based on the real smectic…

Soft Condensed Matter · Physics 2014-10-28 Mykhailo Y. Pevnyi , Jonathan V. Selinger , Timothy J. Sluckin

We report the experimental investigations on a liquid crystal comprised of thiophene-based achiral bent-core banana shaped molecules. The results reveal the presence of a short range nematic phase at high temperatures and a long-range SmA…

Soft Condensed Matter · Physics 2023-07-03 Vishnu Deo Mishra , G. Pratap , Arun Roy

Ideal (monodomain) smectic-$A$ elastomers crosslinked in the smectic-$A$ phase are simply uniaxial rubbers, provided deformations are small. From these materials smectic-$C$ elastomers are produced by a cooling through the smectic-$A$ to…

Soft Condensed Matter · Physics 2009-11-11 Olaf Stenull , T. C. Lubensky