On Discrete Soliton and Soliton Lattice at SmC<sub>α</sub>∗-SmC Transition Driven by an Electric Field

Sakai, Yuki; Torikai, Masashi; Yamashita, Mamoru

doi:10.1080/15421400903400688

Cited by 5 publications

(12 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(1) is assumed to be applicable to present phenomena. In practice, experimental observations [8,9,25] are reproduced qualitatively by using present model with constant tilt [16,18].…”

Section: Formalism For Smc α *mentioning

confidence: 63%

“…Under the condition of constant tilt, the transition from the helical structure of SmC α * to SmC is shown to be continuous and an interaction between solitons is repulsive so long as δ < π/2 [15][16][17]. Effects due to variable tilt angle, θ n , are of interest.…”

Section: Formalism For Smc α *mentioning

confidence: 96%

“…Then, properties of discrete soliton accompanying at SmC α * -SmC transition are of interest. The present authors have tried to clarify the SmC α * -SmC transition from a standpoint of the discrete soliton [15,16]. A discrete model system under the condition of constant amplitude introduced therein was already followed up in another context, where the transition to the uniform phase is shown to be discontinuous for a parameter δ larger than π/2, for δ, a degree of chirality (see next section) [17].…”

Section: Discrete Soliton In Smc α *mentioning

confidence: 96%

“…A discrete model system under the condition of constant amplitude introduced therein was already followed up in another context, where the transition to the uniform phase is shown to be discontinuous for a parameter δ larger than π/2, for δ, a degree of chirality (see next section) [17]. Originated from the discreteness of the system, a wave number decreases discontinuously making a devil's staircase as the field is increased, and a free energy curve for the wave number is proved to be non-differentiable at any rational wave number [16]. In this context, it should be noted that similar models have been studied under the condition of constant amplitude; the model with interaction between second neighboring layers and the one [18] taking into account an anisotropy of elastic constants for layer undulation [19].…”

Section: Discrete Soliton In Smc α *mentioning

confidence: 96%

See 3 more Smart Citations

Discrete Soliton with Variable Amplitude in Electric Field Induced SmC_α*-SmC Transition

2010

Self Cite

View full text Add to dashboard Cite

A helix of chiral smectic C α phase (SmC α * ) is unwound by an electric field and a transition to smectic C phase (SmC) occurs at a certain field strength. The phenomenon is interpreted as a discrete soliton condensation, which is compared with a transition from chiral smectic C phase (SmC * ) to SmC driven by the electric field where a mechanism of the transition has been analyzed as a condensation of sine-Gordon soliton. Under the condition of constant tilt angle of molecular long axis at SmC α * , the transition is known to be continuous and eventually an interaction between solitons is repulsive so long as a pitch of the helix without the field is larger than four smectic layers. Here, effects due to variable tilt on the transition and the interaction between discrete solitons are studied. At low temperature region where the tilt angle is large enough, the transition remains continuous, which is similar to the behaviour at the constant tilt. On the other hand at high temperature adjacent to the transition between SmC α * and smectic A phase, the transition changes to a discontinuous one and the interaction between discrete solitons turns to attractive one. Behaviour of soliton tail is compared with the order of the transition, that is, in a region of the continuous transition the tail decays exponentially, while in the discontinuous transition region the tail decays oscillatory.

show abstract

“…(1) is assumed to be applicable to present phenomena. In practice, experimental observations [8,9,25] are reproduced qualitatively by using present model with constant tilt [16,18].…”

Section: Formalism For Smc α *mentioning

confidence: 63%

Section: Formalism For Smc α *mentioning

confidence: 96%

Section: Discrete Soliton In Smc α *mentioning

confidence: 96%

Section: Discrete Soliton In Smc α *mentioning

confidence: 96%

See 2 more Smart Citations

Discrete Soliton with Variable Amplitude in Electric Field Induced SmC_α*-SmC Transition

2010

Self Cite

View full text Add to dashboard Cite

show abstract

“…2(a), 2(b), 2(e), and 2(f) of Ref. [8] and preliminary theoretical investigations were performed [52][53][54][55]. In this way many intriguing preliminary data and theoretical analyses concerning the field-induced sequential transitions are waiting for full detailed systematic investigations.…”

Section: A Comparison Between Experimentally Obtained E-t Phase Diagmentioning

confidence: 99%

Superlattice structures observed in the extraordinary phase sequence and analyzed by the phenomenological Landau model and the partially molecular model

et al. 2013

View full text Add to dashboard Cite

We draw several electric-field-temperature (E-T ) phase diagrams with electric-field-induced birefringence contours in the nOHFBBB1M7 (n = 10) and nOTBBB1M7 (n = 11) (C11) mixture system by changing the C11 concentration carefully; some of the mixtures show the unusual extraordinary phase sequence where subphases with the four-, five-, and six-layer superlattice structures emerge above the smectic-C * main phase. We try to understand the results in terms of two complementary models that have so far been proposed: the phenomenological Landau model of phase transitions by Dolganov et al. (2003)]. The observed E-T phase diagram can be well reproduced by the phenomenological model. An emergence of the subphase with the four-layer superlattice structure above smectic-C * is also understandable in terms of the partially molecular model. We discuss the pros and cons of the two models as well.

show abstract

Fin de SiècleCompetition, Nematic Active or Smectic Passive, and Resulting Unimaginable Antiferroelectricity and Ferrielectricity —LCs in My Memory—

Fukuda

2011

Molecular Crystals and Liquid Crystals

View full text Add to dashboard Cite

On Discrete Soliton and Soliton Lattice at SmC_α∗-SmC Transition Driven by an Electric Field

Cited by 5 publications

References 23 publications

Discrete Soliton with Variable Amplitude in Electric Field Induced SmC_α*-SmC Transition

Discrete Soliton with Variable Amplitude in Electric Field Induced SmC_α*-SmC Transition

Superlattice structures observed in the extraordinary phase sequence and analyzed by the phenomenological Landau model and the partially molecular model

Fin de SiècleCompetition, Nematic Active or Smectic Passive, and Resulting Unimaginable Antiferroelectricity and Ferrielectricity —LCs in My Memory—

Contact Info

Product

Resources

About

On Discrete Soliton and Soliton Lattice at SmCα∗-SmC Transition Driven by an Electric Field

Cited by 5 publications

References 23 publications

Discrete Soliton with Variable Amplitude in Electric Field Induced SmCα*-SmC Transition

Discrete Soliton with Variable Amplitude in Electric Field Induced SmCα*-SmC Transition

Superlattice structures observed in the extraordinary phase sequence and analyzed by the phenomenological Landau model and the partially molecular model

Fin de SiècleCompetition, Nematic Active or Smectic Passive, and Resulting Unimaginable Antiferroelectricity and Ferrielectricity —LCs in My Memory—

Contact Info

Product

Resources

About

On Discrete Soliton and Soliton Lattice at SmC_α∗-SmC Transition Driven by an Electric Field

Discrete Soliton with Variable Amplitude in Electric Field Induced SmC_α*-SmC Transition

Discrete Soliton with Variable Amplitude in Electric Field Induced SmC_α*-SmC Transition