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We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

Analysis of PDEs · Mathematics 2016-06-29 Angkana Rüland

Semicrystalline polymers (SCP) represent important class of materials used in many applications from packaging to transportation to electronics to pharmaceuticals. Understanding the structure and dynamics of the crystalline and amorphous…

Soft Condensed Matter · Physics 2025-04-28 Valeriy V. Ginzburg

We study the phase behaviour of a quasi-two dimensional cholesteric liquid crystal shell. We characterise the topological phases arising close to the isotropic-cholesteric transition, and show that they differ in a fundamental way from…

Soft Condensed Matter · Physics 2022-08-25 Livio Nicola Carenza , Giuseppe Gonnella , Davide Marenduzzo , Giuseppe Negro , Enzo Orlandini

Topological defects such as dislocations and disclinations are predicted to determine the twodimensional (2-D) melting transition. In 2-D superconducting vortex lattices, macroscopic measurements evidence melting close to the transition to…

We present a simplified molecular model of mesogenic dimers consisting of two identical uniaxial mesogenic cores separated by a fixed-length spacer and allowed to assume only two, statistically equivalent, conformations which are non-planar…

Soft Condensed Matter · Physics 2016-07-26 Alexandros G. Vanakaras , Demetri J. Photinos

The liquid crystalline compound, forming the glass of the smectic C$_A$* phase, is investigated by the X-ray diffraction in the 18-298 K range. The characteristic distances within the smectic C$_A$* phase are determined. The electron…

The contribution of the smectic-nematic interface to the surface energy of a nematic liquid crystal sample is analyzed. By means of a simple model it is shown that the surface energy depends on the thickness of the region over which the…

Condensed Matter · Physics 2009-10-31 L. R. Evangelista , S. Fontanini , L. C. Malacarne , R. S. Mendes

We apply a recently developed technique to determine adapted coordinates for the sixth degree Landau-deGennes potential, in which the potential is specially simple, to analyze the possibility of a direct transition between the fully…

Mathematical Physics · Physics 2017-11-20 Giuseppe Gaeta

Instability patterns of rolling up a sleeve appear more intricate than the ones of walking over a rug on floor, both characterized as uniaxially compressed soft-film/stiff-substrate systems. This can be explained by curvature effects. To…

Soft Condensed Matter · Physics 2018-05-28 Yifan Yang , Hui-Hui Dai , Fan Xu , Michel Potier-Ferry

The Goldstone mode due to stripe or unidirectional charge-density-wave order in electron systems is found to have the same functional form as the one in classical smectic liquid crystals. It is very similar to the Goldstone mode that…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

We investigate two-dimensional (2d) melting in the presence of a one-dimensional (1d) periodic potential as, for example, realized in recent experiments on 2d colloids subjected to two interfering laser beams. The topology of the phase…

Soft Condensed Matter · Physics 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

Mono-layers of stearic and behenic acids deposited with the Langmuir-Blodgett technique, were used as aligning films in nematic liquid crystal cells. During the filling process the liquid crystal adopts a deformed quasi-planar alignment…

Soft Condensed Matter · Physics 2008-02-03 V. S. U. Fazio , L. Komitov , S. T. Lagerwall

A statistical theory of cholesteric liquid crystals composed of short rigid biaxial molecules is presented. It is derived in the thermodynamic limit at a small density and a small twist. The uniaxial (biaxial) cholesteric phase is regarded…

Soft Condensed Matter · Physics 2009-10-21 A. Kapanowski

Soft materials with layered structure such as membranes, block copolymers, and smectics exhibit intriguing morphologies with nontrivial curvatures. We report on restructuring the Gaussian and mean curvatures of smectic A films with free…

Soft Condensed Matter · Physics 2016-01-20 Dae Seok Kim , Yun Jeong Cha , Mun Ho Kim , Oleg D. Lavrentovich , Dong Ki Yoon

Investigating thermodynamic properties of liquid-solid transitions of flexible homopolymers with elastic bonds by means of multicanonical Monte Carlo simulations, we find crystalline conformations that resemble ground-state structures of…

Soft Condensed Matter · Physics 2010-02-11 Stefan Schnabel , Thomas Vogel , Michael Bachmann , Wolfhard Janke

A system that possesses translational symmetry but breaks orientational symmetry is known as a nematic phase. While there are many examples of nematic phases in a wide range of contexts, such as in liquid crystals, complex oxides, and…

We find a reentrant columnar-to-squamous rigidity transition in 3D epithelia, governed by volume- and area elasticity. Our framework maps onto the classic 2D Area- and Perimeter-Elasticity model but, unlike its 2D counterpart, exhibits both…

Soft Condensed Matter · Physics 2025-12-15 Tanmoy Sarkar , Matej Krajnc

Biological tissues exhibit diverse mechanical and rheological behaviors during morphogenesis. While much is known about tissue phase transitions controlled by structural order and cell mechanics, key questions regarding how tissue-scale…

Soft Condensed Matter · Physics 2026-04-29 Pengyu Yu , Fridtjof Brauns , M. Cristina Marchetti

Elasto-plastic models are among the most successful ways to study the critical properties of the plastic yielding transition of amorphous solids. Typically these models are studied under a condition of constant transition rates from one…

Statistical Mechanics · Physics 2017-12-05 E. A. Jagla

We present a new type of phase-change behavior relevant for information storage applications, that can be observed in 2D systems with cluster-forming ability. The temperature-based control of the ordering in 2D particle systems depends on…

Statistical Mechanics · Physics 2019-04-30 Rogelio Díaz-Méndez , Guido Pupillo , Fabio Mezzacapo , Mats Wallin , Jack Lidmar , Egor Babaev
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