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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.02567 |
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| _version_ | 1866929659972681728 |
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| author | Debnath, Mrinal Kanti Pramanick, Soumyajit DasGupta, Sudeshna Ghoshal, Nababrata |
| author_facet | Debnath, Mrinal Kanti Pramanick, Soumyajit DasGupta, Sudeshna Ghoshal, Nababrata |
| contents | The phase diagram for a lattice system of biaxial molecules possessing $D_{2h}$ symmetry and interacting with Straley's quadrupolar pair potential in Sonnet-Virga-Durand parameterization [A. M. Sonnet, E. G. Virga, and G. E. Durand, Phys. Rev. E {\bf67}, 061701 (2003)] has been determined using Monte Carlo simulation. Our results confirm that the nematogenic model yields both the uniaxial and biaxial nematic macroscopic phases along with a tricritical point in the transition from uniaxial to biaxial nematics as predicted in mean field theory. By analyzing the behavior of a free-energy-like function, derived from the probability distributions of energy, the order of phase transitions is detected. A conclusive numerical evidence in support of the existence of a tricritical point on the uniaxial-biaxial transition line in the phase diagram is reported. Although the nature of the phase diagram is qualitatively identical as obtained in the mean-field study however the location of the triple point differs significantly from theoretical prediction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_02567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase diagram of a biaxial nematogenic lattice model: A Monte Carlo simulation study Debnath, Mrinal Kanti Pramanick, Soumyajit DasGupta, Sudeshna Ghoshal, Nababrata Soft Condensed Matter 82B26 The phase diagram for a lattice system of biaxial molecules possessing $D_{2h}$ symmetry and interacting with Straley's quadrupolar pair potential in Sonnet-Virga-Durand parameterization [A. M. Sonnet, E. G. Virga, and G. E. Durand, Phys. Rev. E {\bf67}, 061701 (2003)] has been determined using Monte Carlo simulation. Our results confirm that the nematogenic model yields both the uniaxial and biaxial nematic macroscopic phases along with a tricritical point in the transition from uniaxial to biaxial nematics as predicted in mean field theory. By analyzing the behavior of a free-energy-like function, derived from the probability distributions of energy, the order of phase transitions is detected. A conclusive numerical evidence in support of the existence of a tricritical point on the uniaxial-biaxial transition line in the phase diagram is reported. Although the nature of the phase diagram is qualitatively identical as obtained in the mean-field study however the location of the triple point differs significantly from theoretical prediction. |
| title | Phase diagram of a biaxial nematogenic lattice model: A Monte Carlo simulation study |
| topic | Soft Condensed Matter 82B26 |
| url | https://arxiv.org/abs/2501.02567 |