Growth and scaling in anisotropic spinodal decomposition

Hurtado, Pablo I.; Marro, Joaquín; Albano, Ezequiel V.

doi:10.1209/epl/i2002-00153-2

Cited by 10 publications

(8 citation statements)

References 20 publications

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“…The LSW law holds even when the configuration is anisotropic [Fig. 4(c)], as also demonstrated in equilibrium [46] and driven [47] anisotropic lattice gas models.…”

supporting

confidence: 60%

Universality of active and passive phase separation in a lattice model

Adachi¹,

Kawaguchi²

2020

Preprint

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The motility-induced phase separation (MIPS) is the spontaneous aggregation of active particles, while equilibrium phase separation (EPS) is thermodynamically driven by attractive interactions between passive particles. Despite such difference in the microscopic mechanism, similarities between MIPS and EPS like free energy structure and critical phenomena have been discussed. Here we introduce and analyze a 2D lattice gas model that undergoes both MIPS and EPS by tuning activity and interaction parameters. Based on simulations and mean-field theory, we find that the MIPS and EPS critical points are connected through a line of nonequilibrium critical points. According to the size scaling of physical quantities and time evolution of the domain size, both the static and dynamical critical exponents seem consistent with the 2D spin-exchange Ising universality over the whole critical line. The results suggest that activity effectively enhances attractive interactions between particles and leaves intact the critical properties of phase separation.

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“…The LSW law holds even when the configuration is anisotropic [Fig. 4(c)], as also demonstrated in equilibrium [46] and driven [47] anisotropic lattice gas models.…”

supporting

confidence: 60%

Universality of active and passive phase separation in a lattice model

Adachi¹,

Kawaguchi²

2020

Preprint

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“…60,61 However, the growth laws of anisotropic aggregation are still in progress. 62,63 Our simulation results described in Sec. III A above indicate the dynamic scaling law n c ϳ t 1 for the growth of disklike clusters at long time scales.…”

Section: B Growth Of Disklike Micellesmentioning

confidence: 99%

Dynamics of vesicle self-assembly and dissolution

Noguchi

Gompper

2006

The Journal of Chemical Physics

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The dynamics of membranes is studied on the basis of a particle-based meshless surface model, which was introduced earlier ͓Phys. Rev. E 73, 021903 ͑2006͔͒. The model describes fluid membranes with bending energy and-in the case of membranes with boundaries-line tension. The effects of hydrodynamic interactions are investigated by comparing Brownian dynamics with a particle-based mesoscale solvent simulation ͑multiparticle collision dynamics͒. Particles self-assemble into vesicles via disk-shaped membrane patches. The time evolution of assembly is found to consist of three steps: particle assembly into discoidal clusters, aggregation of clusters into larger membrane patches, and finally vesicle formation. The time dependence of the cluster distribution and the mean cluster size is evaluated and compared with the predictions of Smoluchowski rate equations. On the other hand, when the line tension is suddenly decreased ͑or the temperature is increased͒, vesicles dissolve via pore formation in the membrane. Hydrodynamic interactions are found to speed up the dynamics in both cases. Furthermore, hydrodynamics makes vesicle more spherical in the membrane-closure process.

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“…We believe the striped configuration to be a metastable state that can be found in finite-sized systems with anisotropic nonequilibrium dynamics, e.g. a driven Ising model [28]. We caution however that in the case of a driven diffusive Ising model, such striped configurations are stable in the thermodynamic limit L → ∞ [29,30].…”

mentioning

confidence: 87%

Phase diagram for a two-dimensional, two-temperature, diffusiveXYmodel

2010

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Using Monte Carlo simulations, we determine the phase diagram of a diffusive two-temperature conserved order parameter XY model. When the two temperatures are equal the system becomes the equilibrium XY model with the continuous Kosterlitz-Thouless (KT) vortex-antivortex unbinding phase transition. When the two temperatures are unequal the system is driven by an energy flow from the higher temperature heat-bath to the lower temperature one and reaches a far-fromequilibrium steady state. We show that the nonequilibrium phase diagram contains three phases: A homogenous disordered phase and two phases with long range, spin texture order. Two critical lines, representing continuous phase transitions from a homogenous disordered phase to two phases of long range order, meet at the equilibrium KT point. The shape of the nonequilibrium critical lines as they approach the KT point is described by a crossover exponent ϕ = 2.52 ± 0.05. Finally, we suggest that the transition between the two phases with long-range order is first-order, making the KT-point where all three phases meet a bicritical point. Much of the research in the statistical physics of nonequilibrium sytems has been directed toward understanding how universal equilibrium critical phenomena are affected by dynamical nonequilibrium perturbations. Field-theoretical studies have indicated that the effects of nonequilibrium dynamics are drastic in systems where detailed balance violation is coupled with conserved anisotropic dynamics [1]. In these systems, effective long range interactions can be induced by the local dynamics producing a critical behavior that is remarkably different from the one of the corresponding unperturbed, equilibrium, systems [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18].In this paper, we present the phase diagram for a two-dimensional two-temperature diffusive conserved order parameter XY model. The system evolves through Kawasaki spin-exchange dynamics [19]. Thus, the dynamics is purely relaxational with no reversible mode couplings, and corresponds to Model B of Ref. 20. Long range order can exist in nonequilibrium steady states of this system due to the effective long range interactions generated by the anisotropic diffusive dynamics that occurs in that regime. The ordered phase is characterized by the appearance of standing spin waves, or spin textures, oriented along the direction of lower temperature. The system exhibits a nonequilibrium disorderlong-range order transition that is in the same universality class as an equilibrium model with dipole interactions [11,14]. Note that our model reduces to the equilibrium XY model in the limit where both temperatures are equal. Also, the Mermin-Wagner theorem states that there is no spontaneous symmetry breaking in equilibrium systems with continuous symmetry of * Present address: Max Planck Institut für Physik complexer Systeme, Nöthnitzerstraße 38, 01187 Dresden, Germany.the order parameter and dimension d = 2 [21]. Thus, no long-range ordered phase is observed in the tw...

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Growth and scaling in anisotropic spinodal decomposition

Cited by 10 publications

References 20 publications

Universality of active and passive phase separation in a lattice model

Universality of active and passive phase separation in a lattice model

Dynamics of vesicle self-assembly and dissolution

Phase diagram for a two-dimensional, two-temperature, diffusiveXYmodel

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