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The phase-field-crystal model for liquid crystals is solved numerically in two spatial dimensions. This model is formulated with three position-dependent order parameters, namely the reduced translational density, the local nematic order…

Soft Condensed Matter · Physics 2014-01-28 Cristian Vasile Achim , Raphael Wittkowski , Hartmut Löwen

A quasi-spin Ising model of ferroelastic phase transition is developed and employed to perform atomic-scale Monte Carlo simulation of thermoelastic martensitic transformation. The quasi-spin variable associated with the lattice sites…

Materials Science · Physics 2019-12-24 Xiaoxu Guo , Yongmei M. Jin , Yang Ren , Yu U. Wang

Mixed surfactant systems with strongly bound counterions show many interesting phases such as the random mesh phase consisting of a disordered array of defects (water-filled nano-pores in the bilayers). The present study addresses the…

Soft Condensed Matter · Physics 2021-07-13 Pradip K. Bera , Vikram Rathee , Rema Krishnaswamy , A. K. Sood

We explore the possibility that the large electroclinic effect observed in ferroelectric liquid crystals arises from the presence of an ordered array of disclination lines and walls. If the spacing of these defects is in the subvisible…

Soft Condensed Matter · Physics 2009-11-07 Robert B. Meyer , Robert A. Pelcovits

A coupled phase-field and hydrodynamic model is introduced to describe a two-phase, weakly compressible smectic (layered phase) in contact with an isotropic fluid of different density. A non-conserved smectic order parameter is coupled to a…

Soft Condensed Matter · Physics 2022-02-02 Eduardo Vitral , Perry H. Leo , Jorge Viñals

Experimental and theoretical studies of a smectic-hexatic transition in freely suspended films of 54COOBC compound are presented. X-ray investigations revealed a discontinuous first-order transition into the hexatic phase. Moreover, the…

The description of thermodynamic phase transitions in terms of percolation transitions of suitably defined clusters has a long tradition and boasts a number of important successes, the most prominent ones being in ferromagnetic lattice…

Disordered Systems and Neural Networks · Physics 2024-08-20 Lambert Münster , Martin Weigel

Time crystals are many-body systems whose ground state spontaneously breaks time-translation symmetry and thus exhibits long-range spatiotemporal order and robust periodic motion. Using hydrodynamics, we have recently shown how an…

Statistical Mechanics · Physics 2025-12-15 R. Hurtado-Gutiérrez , C. Pérez-Espigares , P. I. Hurtado

Broken-symmetry-induced order parameters account for many phenomena in condensed matter physics. For spin glasses, such a framework dictates its theoretical construction, whereas experiments have only established dynamical behaviors such as…

Disordered Systems and Neural Networks · Physics 2026-05-25 Margarita G. Dronova , Feng Ye , Zachary J. Morgan , Yishu Wang , Yejun Feng

Recent liquid-crystalline (LC) research is focused on structurally new molecular systems distinct from simple nematic or smectic phases. Sophisticated molecular shape may reveal structural complexity, combining helicity and polarity.…

We carry out extensive Monte Carlo simulations of the three-dimensional (3D) uniformly frustrated XY model with uncorrelated randomly perturbed couplings, as a model for the equilibrium behavior of an extreme type-II superconductor with…

Superconductivity · Physics 2009-06-05 Peter Olsson , S. Teitel

We report results of non-equilibrium molecular dynamics simulations of a one-component glassy system under the influence of a shear flow, with the aim of investigating shear induced ordering of this system. In spite of the very low…

Materials Science · Physics 2009-11-13 Anatolii Mokshin , Jean-Louis Barrat

The thermodynamics of the $q$-state Potts model with arbitrary $q$ on a class of hierarchical lattices is considered. Contrary to the case of the crystal lattices, it has always the second-order phase transitions. The analytical expressions…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. N. Timonin

Due to the lack of long-range order, it remains challenging to characterize the structure of disordered solids and understand the nature of the glass transition. Here we propose a new structural order parameter by taking into account…

Soft Condensed Matter · Physics 2024-08-26 Ding Xu , Qinyi Liao , Ning Xu

We show that in small and low density systems described by a lattice gas model with fixed number of particles the location of a thermodynamic phase transition can be detected by means of the distribution of the fluctuations related to an…

Nuclear Theory · Physics 2009-11-07 J. M. Carmona , J. Richert , P. Wagner

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\geq 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson

We study the phase diagram of the superconducting vortex system in layered high-temperature superconductors in the presence of a magnetic field perpendicular to the layers and of random atomic scale point pinning centers. We consider the…

Superconductivity · Physics 2009-11-11 Chandan Dasgupta , Oriol T. Valls

Surface-induced liquid crystalline phase transitions evoke fundamental interest and can provide deeper insight into the nature of low-dimensional phase transitions. Board-like conjugated polymers are particularly interesting because they…

Soft Condensed Matter · Physics 2025-10-27 Anton Sinner , Alexander J. Much , Oleksandr Dolynchuk

By employing Molecular Dynamics computer simulations, the phase behavior of systems of rodlike particles with varying degree of internal flexibility has been traced from the perfectly rigid rod limit till very flexible particles, and from…

Soft Condensed Matter · Physics 2009-11-13 Giorgio Cinacchi , Luca De Gaetani

Enormous enhancement in the viscosity of a liquid near its glass transition is generally connected to the growing many-body static correlations near the transition, often coined as `amorphous ordering'. Estimating the length scales of such…