Luis Gonzalo Lopez | Northwestern University (original) (raw)
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Papers by Luis Gonzalo Lopez
The Journal of chemical …, Jan 1, 2010
Using Monte Carlo simulations and finite-size scaling analysis, the critical behavior of selfasse... more Using Monte Carlo simulations and finite-size scaling analysis, the critical behavior of selfassembled rigid rods on triangular and honeycomb lattices at intermediate density has been studied. The system is composed of monomers with two attractive (sticky) poles that, by decreasing temperature or increasing density, polymerize reversibly into chains with three allowed directions and, at the same time, undergo a continuous isotropic-nematic IN transition. The determination of the critical exponents, along with the behavior of Binder cumulants, indicate that the IN transition belongs to the q = 1 Potts universality class.
The Journal of chemical …, Jan 1, 2010
Monte Carlo simulations and finite-size scaling analysis have been carried out to study the criti... more Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a two-dimensional system of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize reversibly into chains with discrete orientational degrees of freedom and, at the same time, undergo a continuous isotropic-nematic (IN) transition. A complete phase diagram was obtained as a function of temperature and density. The numerical results were compared with Mean Field (MF) and Real Space Renormalization Group (RSRG) analytical predictions about the IN transformation. While the RSRG approach supports the continuous nature of the transition, the MF solution predicts a first-order transition line and a tricritical point, at variance with the simulation results.
Physical Review E, Jan 1, 2009
Monte Carlo simulations have been carried out for a system of monomers on square lattices that, b... more Monte Carlo simulations have been carried out for a system of monomers on square lattices that, by decreasing temperature or increasing density, polymerize reversibly into chains with two allowed directions and, at the same time, undergo a continuous isotropic-nematic (IN) transition. The results show that the self-assembly process affects the nature of the transition. Thus, the calculation of the critical exponents and the behavior of Binder cumulants indicate that the universality class of the IN transition changes from two-dimensional Ising-type for monodisperse rods without self-assembly to q = 1 Potts-type for self-assembled rods. PACS numbers: 05.50.+q, 64.70.mf, 61.20.Ja, 64.75.Yz, 75.40.Mg Self-assembly is a challenging field of research, driven principally by the desire to design new materials. Moreover, self-assembly is used permanently in biological systems to construct supramolecular structures such as virus capsids, filaments, and many others large molecular complexes. So, understanding the rules of self-assembly has important applications to both materials science and biology [1].
The Journal of chemical …, Jan 1, 2010
Using Monte Carlo simulations and finite-size scaling analysis, the critical behavior of selfasse... more Using Monte Carlo simulations and finite-size scaling analysis, the critical behavior of selfassembled rigid rods on triangular and honeycomb lattices at intermediate density has been studied. The system is composed of monomers with two attractive (sticky) poles that, by decreasing temperature or increasing density, polymerize reversibly into chains with three allowed directions and, at the same time, undergo a continuous isotropic-nematic IN transition. The determination of the critical exponents, along with the behavior of Binder cumulants, indicate that the IN transition belongs to the q = 1 Potts universality class.
The Journal of chemical …, Jan 1, 2010
Monte Carlo simulations and finite-size scaling analysis have been carried out to study the criti... more Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a two-dimensional system of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize reversibly into chains with discrete orientational degrees of freedom and, at the same time, undergo a continuous isotropic-nematic (IN) transition. A complete phase diagram was obtained as a function of temperature and density. The numerical results were compared with Mean Field (MF) and Real Space Renormalization Group (RSRG) analytical predictions about the IN transformation. While the RSRG approach supports the continuous nature of the transition, the MF solution predicts a first-order transition line and a tricritical point, at variance with the simulation results.
Physical Review E, Jan 1, 2009
Monte Carlo simulations have been carried out for a system of monomers on square lattices that, b... more Monte Carlo simulations have been carried out for a system of monomers on square lattices that, by decreasing temperature or increasing density, polymerize reversibly into chains with two allowed directions and, at the same time, undergo a continuous isotropic-nematic (IN) transition. The results show that the self-assembly process affects the nature of the transition. Thus, the calculation of the critical exponents and the behavior of Binder cumulants indicate that the universality class of the IN transition changes from two-dimensional Ising-type for monodisperse rods without self-assembly to q = 1 Potts-type for self-assembled rods. PACS numbers: 05.50.+q, 64.70.mf, 61.20.Ja, 64.75.Yz, 75.40.Mg Self-assembly is a challenging field of research, driven principally by the desire to design new materials. Moreover, self-assembly is used permanently in biological systems to construct supramolecular structures such as virus capsids, filaments, and many others large molecular complexes. So, understanding the rules of self-assembly has important applications to both materials science and biology [1].