The Ornstein-Uhlenbeck stochastic process is an exact mathematical model providing accurate representations of many real dynamic processes in systems a stationary state. When applied to the description random motion particles such as that Brownian particles, it provides predictions coinciding with those Langevin equation but not restricted thermal equilibrium only conditioned be stationary. Here, we investigate experimentally single particle two-dimensional granular system state, consisting...

We perform systematic simulation experiments on model systems with soft-sphere repulsive interactions to test the predicted dynamic equivalence between liquids similar static structure. For this we compare simulated dynamics (mean squared displacement, intermediate scattering function, $\ensuremath{\alpha}$-relaxation time, etc.) of different systems, them and hard-sphere liquid. then show that referred does not depend (Newtonian or Brownian) nature microscopic laws motion constituent...

We propose a first-principles theoretical approach for the description of aging linear viscoelastic properties colloidal liquid after sudden quench into dynamically arrested (glass or gel) state. Specifically, we couple general expression time-evolving shear-stress relaxation function G(τ;t), written in terms non-equilibrium structure factor S(k;t) and intermediate scattering F(k,τ;t), with equations that determine provided by self-consistent generalized Langevin equation theory. In this...

The size, shape, and charge of structures, such as proteins amphiphile assemblies, respond in an interconnected manner to solution ionic conditions. We analyze assemblies (C16K2), with two ionizable amino acids [lysine (K)] coupled a 16-carbon alkyl tail, via small-angle X-ray scattering (SAXS), nonlinear Poisson-Boltzmann theory (nl-PB), hybrid Monte Carlo-molecular dynamics (MC-MD) simulations. SAXS revealed structural transitions from spherical micelles cylindrical bilayers increasing pH....

We employ the principle of dynamic equivalence between soft-sphere and hard-sphere fluids [Phys. Rev. E 68, 011405 (2003)] to describe interplay effects varying density n, temperature T, softness (characterized by a parameter ν(-1)) on dynamics glass-forming liquids in terms simple scaling rules. The main prediction is existence universality class associated with fluid, constituted systems whose parameters depend ν only through reduced n*≡nσ(HS)(T*,ν). A number properties observed recent...

The non-equilibrium self-consistent generalized Langevin equation theory of irreversible relaxation [P. E. Ramŕez-González and M. Medina-Noyola, Phys. Rev. E 82, 061503 (2010); 061504 (2010)] is applied to the description processes involved in spinodal decomposition suddenly deeply quenched simple liquids. For model liquids with hard-sphere plus attractive (Yukawa or square well) pair potential, predicts that curve, besides being threshold thermodynamic stability homogeneous states, also...

Colloidal clusters and gels are ubiquitous in science technology. Particle softness has a strong effect on interparticle interactions; however, our understanding of the role this factor formation colloidal is only beginning to evolve. Here, we report results experimental simulation studies impact particle assembly networks from mixtures oppositely charged polymer nanoparticles (NPs). Experiments were performed below or above glass transition temperature, at which interaction potential...

We show that the kinetic-theoretical self-diffusion coefficient of an atomic fluid plays same role as short-time D_S in a colloidal liquid, sense dynamic properties former, at times much longer than mean free time, and properly scaled with D_S, will indistinguishable from those liquid interaction potential. One important consequence such equivalence is ratio D_L/ long-time to coefficients must then be for both, system characterized by inter-particle interactions. This naturally extends...

A major stumbling block for statistical physics and materials science has been the lack of a uni- versal principle that allows us to understand predict elementary structural, morphological, dynamical properties non-equilibrium amorphous states matter. The recently-developed non- equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory, however, shown provide fundamental tool understanding most essential features transformation liquids into solids, such as their aging...

Abstract Recent experiments and computer simulations have revealed intriguing phenomenological fingerprints of the interference between ordinary equilibrium gas-liquid phase transition non-equilibrium glass gel transitions. We thus now know, for example, that liquid-gas spinodal line loci intersect at a finite temperature density, when transitions meet, mechanisms multistep relaxation emerge, formation gels exhibits puzzling latency effects. In this work we demonstrate kinetic perspective...

Using the generalized Langevin equation formalism and process of contraction description we derive a general memory function for thermal fluctuations local density simple atomic liquid. From analysis long-time limit this equation, striking equivalence is suggested between dynamics liquid corresponding Brownian This dynamic confirmed here by comparing molecular simulations self-intermediate scattering self-diffusion coefficient hard-sphere

The interplay of phase separation and dynamical arrest can lead to the formation gels glasses, which is relevant for such diverse fields as hard soft condensed matter physics, materials science, food engineering pharmaceutical industry. Here, non-equilibrium states well interactions globular proteins are analyzed. Lysozyme in brine chosen a model system with short-range attractions. metastable gas-liquid binodal line second virial coefficient $B_2$ have been determined various solution...

Abstract Acid–base equilibria directly influence the functionality and behavior of particles in a system. Due to ionizing effects acid–base functional groups, will undergo charge exchange. The degree ionization their intermolecular electrostatic interactions are controlled by varying pH salt concentration solution Although can be tuned experiments, it is hard model this effect using simulations or theoretical approaches. This due difficulty treating regulation capturing cooperative colloidal...

Amorphous solids, such as glasses and gels, arise the asymptotic limit of non-equilibrium irreversible relaxation aging processes. These amorphous solids form when system is suddenly deeply quenched in dynamic arrest region. We use self-consistent generalized Langevin equation (NE-SCGLE) theory to investigate formation structures via arrested spinodal decomposition screened symmetric restricted primitive model. propose a direct correlation function that allows us derive an expression for...

We propose a first-principles theoretical approach for the description of aging linear viscoelastic properties colloidal liquid after sudden quench into dynamically arrested (glass or gel) state. Specifically, we couple general expression time-evolving shear-stress relaxation function $\eta(\tau;t)$ (whose $\tau$-integral is instantaneous viscosity $\eta(t)$), written in terms non-equilibrium structure factor $S(k;t)$ and intermediate scattering $F(k,\tau;t)$, with equations that determine...

The fundamental understanding of the dynamic and transport properties liquids is crucial for better processing most materials. usefulness this increases when it involves general scaling rules, such as concept hard-sphere universality class, which provides a unifying dynamics soft-sphere repulsive systems. A relevant question how far extends to systems that also involve attractive interactions. To answer question, in work we performed systematic molecular Brownian simulations with...

The Non-equilibrium Self-consistent Generalized Langevin Equation theory of irreversible relax- ation [Phys. Rev. E (2010) 82, 061503; ibid. 061504] is applied to the description non- equilibrium processes involved in spinodal decomposition suddenly and deeply quenched simple liquids. For model liquids with hard-sphere plus attractive (Yukawa or square well) pair potential, predicts that curve, besides being threshold thermo- dynamic stability homogeneous states, also borderline between...

We perform systematic simulation experiments on model systems with soft-sphere repulsive interactions to test the predicted dynamic equivalence between liquids similar static structure. For this we compare simulated dynamics (mean squared displacement, intermediate scattering function, {\alpha}-relaxation time, etc.) of different systems, them and hard-sphere liquid. then show that referred does not depend (Newtonian or Brownian) nature microscopic laws motion constituent particles, hence,...

Acid-base equilibria directly influence the functionality and behavior of particles in a system. Due to ionizing effects acid-base functional groups, will undergo charge exchange. The degree ionization their intermolecular electrostatic interactions are controlled by varying pH salt concentration solution Although can be tuned experiments, it is hard model this effect using simulations or theoretical approaches. This due difficulty treating regulation capturing cooperative colloidal...

We derive the time-evolution equation that describes Brownian motion of labeled individual tracer particles in a simple model atomic liquid (i.e., system $N$ whose is governed by Newton's second law, and interacting through spherically symmetric pairwise potentials). base our derivation on generalized Langevin formalism, find resulting time evolution formally identical to colloidal suspension absence hydrodynamic interactions. This formal dynamic equivalence implies long-time...