Nematic phase in stripe-forming systems within the self-consistent screening approximation

Barci, Daniel G.; Mendoza-Coto, Alejandro; Stariolo, Daniel A.

doi:10.1103/physreve.88.062140

Cited by 16 publications

(17 citation statements)

References 54 publications

(73 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, when fluctuations are taken into account in the Brazovskii-like approximation [31], the instability with respect to the density waves is shifted to T = 0 [30]. On the other hand, a continuous transition between the isotropic phase and the phase with broken rotational symmetry was predicted recently for the Brazovskii functional at two-loop level [32].…”

Section: Introductionmentioning

confidence: 96%

Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation

Almarza

Pȩkalski

Ciach

2014

The Journal of Chemical Physics

View full text Add to dashboard Cite

The triangular lattice model with nearest-neighbor attraction and third-neighbor repulsion, introduced by Pȩkalski, Ciach, and Almarza [J. Chem. Phys. 140, 114701 (2014)] is studied by Monte Carlo simulation. Introduction of appropriate order parameters allowed us to construct a phase diagram, where different phases with patterns made of clusters, bubbles or stripes are thermodynamically stable. We observe, in particular, two distinct lamellar phases-the less ordered one with global orientational order and the more ordered one with both orientational and translational order. Our results concern spontaneous pattern formation on solid surfaces, fluid interfaces or membranes that is driven by competing interactions between adsorbing particles or molecules.

show abstract

Section: Introductionmentioning

confidence: 96%

Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation

Almarza

Pȩkalski

Ciach

2014

The Journal of Chemical Physics

View full text Add to dashboard Cite

show abstract

“…Competing interactions, in particular short-range attraction and long-range repulsion (SALR), are present in many biological and soft matter systems [1][2][3][4] as well as in magnetic films with competing ferromagnetic and dipolar forces. 5,6 The repulsion is often of electrostatic origin, and the attraction between the particles comes from the van der Waals forces, or it is induced by the solvent. For example, the solvophobic attraction is present between globular proteins in water, 2,7 or the depletion attraction is present between colloid particles when the solvent contains nonadsorbing polymer with small radius of gyration.…”

Section: Introductionmentioning

confidence: 99%

“…[24][25][26][27] In this work we focus on two dimensional (2D) patterns. Such patterns are formed in thin magnetic films, 5,6 in thin layers of block-copolymers, [28][29][30] by particles adsorbed at solid surfaces or at liquid interfaces, 1,31,32 on elastic membranes or embedded in lipid bilayers. 3,33 For increasing chemical potential of the particles, hexagonally ordered clusters, next stripes and finally hexagonally ordered voids occur for various versions of the SALR potential.…”

Section: Introductionmentioning

confidence: 99%

Effects of confinement on pattern formation in two dimensional systems with competing interactions

2016

View full text Add to dashboard Cite

Template-assisted pattern formation in monolayers of particles with competing short-range attraction and long-range repulsion interactions (SALR) is studied by Monte Carlo simulations in a simple generic model [N. G. Almarza et al., J. Chem. Phys., 2014, 140, 164708]. We focus on densities corresponding to formation of parallel stripes of particles and on monolayers laterally confined between straight parallel walls. We analyze both the morphology of the developed structures and the thermodynamic functions for broad ranges of temperature T and the separation L2 between the walls. At low temperature stripes parallel to the boundaries appear, with some corrugation when the distance between the walls does not match the bulk periodicity of the striped structure. The stripes integrity, however, is rarely broken for any L2. This structural order is lost at T = TK(L2) depending on L2 according to a Kelvin-like equation. Above the Kelvin temperature TK(L2) many topological defects such as breaking or branching of the stripes appear, but a certain anisotropy in the orientation of the stripes persists. Finally, at high temperature and away from the walls, the system behaves as an isotropic fluid of elongated clusters of various lengths and with various numbers of branches. For L2 optimal for the stripe pattern the heat capacity as a function of temperature takes the maximum at T = TK(L2).

show abstract

“…A nematic phase in this context is characterized by the presence of orientational order but without translational or positional order [11,25,26]. In this sense there are broken symmetry phases but with an intermediate degree of symmetry, higher than the less symmetric stripe phases in which both orientational and positional orders are present.…”

Section: Introductionmentioning

confidence: 99%

Nematic phase in theJ1−J2square-lattice Ising model in an external field

2015

Self Cite

View full text Add to dashboard Cite

The J 1 -J 2 Ising model in the square lattice in the presence of an external field is studied by two approaches: the cluster variation method (CVM) and Monte Carlo simulations. The use of the CVM in the square approximation leads to the presence of a new equilibrium phase, not previously reported for this model: an Ising-nematic phase, which shows orientational order but not positional order, between the known stripes and disordered phases. Suitable order parameters are defined, and the phase diagram of the model is obtained. Monte Carlo simulations are in qualitative agreement with the CVM results, giving support to the presence of the new Ising-nematic phase. Phase diagrams in the temperature-external field plane are obtained for selected values of the parameter κ = J 2 /|J 1 | which measures the relative strength of the competing interactions. From the CVM in the square approximation we obtain a line of second order transitions between the disordered and nematic phases, while the nematic-stripes phase transitions are found to be of first order. The Monte Carlo results suggest a line of second order nematicdisordered phase transitions in agreement with the CVM results. Regarding the stripes-nematic transitions, the present Monte Carlo results are not precise enough to reach definite conclusions about the nature of the transitions.

show abstract

Nematic phase in stripe-forming systems within the self-consistent screening approximation

Cited by 16 publications

References 54 publications

Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation

Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation

Effects of confinement on pattern formation in two dimensional systems with competing interactions

Nematic phase in theJ1−J2square-lattice Ising model in an external field

Contact Info

Product

Resources

About