Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics.

Spatially correlated noise (SCN), i.e. the thermal noise that affects neighbouring particles in a similar manner, is ubiquitous in soft matter systems. In this work, we apply the over-damped SCN-driven Langevin equations as an effective, one-component model of the dynamics in dense binary mixtures. We derive the thermodynamically consistent fluctuation-dissipation relation for SCN to show that it predicts the molecular arrest resembling the glass transition, i.e. the critical slow-down of dynamics in the disordered phases. We show that the mechanism of singular dissipation is embedded in the dissipation matrix, accompanying SCN. We are also able to identify the characteristic length of collective dissipation, which diverges at critical packing. This novel physical quantity conveniently describes the difference between the ergodic and non-ergodic dynamics. The model is fully analytically solvable, one-dimensional and admits arbitrary interactions between the particles. It qualitatively reproduces several different modes of arrested disorder encountered in binary mixtures, including e.g. the re-entrant arrest. The model can be effectively compared to the mode coupling theory.

Thermodynamically consistent Langevin dynamics with spatially correlated noise predicting frictionless regime and transient attraction effect.

While the origins of temporal correlations in Langevin dynamics have been thoroughly researched, the understanding of spatially correlated noise (SCN) is rather incomplete. In particular, very little is known about the relation between friction and SCN. In this article, starting from the microscopic, deterministic model, we derive the analytical formula for the spatial correlation function in the particle-bath interactions. This expression shows that SCN is the inherent component of binary mixtures, originating from the effective (entropic) interactions. Further, employing this spatial correlation function, we postulate the thermodynamically consistent Langevin equation driven by the Gaussian SCN and calculate the adequate fluctuation-dissipation relation. The thermodynamical consistency is achieved by introducing the spatially variant friction coefficient, which can be also derived analytically. This coefficient exhibits a number of intriguing properties, e.g., the singular behavior for certain types of interactions. Eventually, we apply this new theory to the system of two charged particles in the presence of counter-ions. Such particles interact via the screened-charge Yukawa potential and the inclusion of SCN leads to the emergence of the anomalous frictionless regime. In this regime the particles can experience active propulsion leading to the transient attraction effect. This effect suggests a nonequilibrium mechanism facilitating the molecular binding of the like-charged particles.

Non-Gaussian polymers described by alpha-stable chain statistics: Model, effective interactions in binary mixtures, and application to on-surface separation.

The Gaussian chain model is the classical description of a polymeric chain, which provides analytical results regarding end-to-end distance, the distribution of segments around the mass center of a chain, coarse-grained interactions between two chains and effective interactions in binary mixtures. This hierarchy of results can be calculated thanks to the α stability of the Gaussian distribution. In this paper we show that it is possible to generalize the model of Gaussian chain to the entire class of α-stable distributions, obtaining the analogous hierarchy of results expressed by the analytical closed-form formulas in the Fourier space. This allows us to establish the α-stable chain model. We begin with reviewing the applications of Levy flights in the context of polymer sciences, which include: chains described by the heavy-tailed distributions of persistence length; polymers adsorbed to the surface; and the chains driven by a noise with power-law spatial correlations. Further, we derive the distribution of segments around the mass center of the α-stable chain and construct the coarse-grained interaction potential between two chains. These results are employed to discuss the model of binary mixture consisting of the α-stable chains. In what follows, we establish the spinodal decomposition condition generalized to the mixtures of the α-stable polymers. This condition is further applied to compare the on-surface phase separation of adsorbed polymers (which are known to be described with heavy-tailed statistics) with the phase separation condition in the bulk. Finally, we predict the four different scenarios of simultaneous mixing and demixing in the two- and three-dimensional systems.

Analytical theory of effective interactions in binary colloidal systems of soft particles.

While density functional theory with integral equations techniques are very efficient tools in the numerical analysis of complex fluids, analytical insight into the phenomenon of effective interactions is still limited. In this paper, we propose a theory of binary systems that results in a relatively simple analytical expression combining arbitrary microscopic potentials into effective interaction. The derivation is based on translating a many-particle Hamiltonian including particle-depletant and depletant-depletant interactions into the occupation field language, which turns the partition function into multiple Gaussian integrals, regardless of what microscopic potentials are chosen. As a result, we calculate the effective Hamiltonian and discuss when our formula is a dominant contribution to the effective interactions. Our theory allows us to analytically reproduce several important characteristics of systems under scrutiny. In particular, we analyze the following: the effective attraction as a demixing factor in the binary systems of Gaussian particles, the screening of charged spheres by ions, which proves equivalent to Derjaguin-Landau-Verwey-Overbeek (DLVO) theory, effective interactions in the binary mixtures of Yukawa particles, and the system of particles consisting of both a repulsive core and an attractive/repulsive Yukawa interaction tail. For this last case, we reproduce the "attraction-through-repulsion" and "repulsion-through-attraction" effects previously observed in simulations.

Polymer unfolding and motion synchronization induced by spatially correlated noise.

The problem of a spatially correlated noise affecting a complex system is studied in this paper. We present a comprehensive analysis of a two-dimensional model polymer chain, driven by the spatially correlated Gaussian noise, for which we have varied the amplitude and the correlation length. The chain model is based on a bead-spring approach, enriched with a global Lennard-Jones potential and angular interactions. We show that spatial correlations in the noise inhibit the chain geometry dynamics, enhancing the preservation of the polymer shape. This is supported by the analysis of correlation functions of both the module length and angles between neighboring modules, which have been measured for the noise amplitude ranging over three orders of magnitude. Moreover, we have observed the correlation length dependent bead motion synchronization and the spontaneous polymer unfolding, resulting from an interplay between chain potentials and the spatially structured noise.

Constructive role of noise in signal transmissions by biomembrane proteins.

We discuss new examples of the constructive role of environmental fluctuations in biophysical processes, namely quantitative enhancement and qualitative sharpening of the outgoing signal in the intercellular signal transduction, e.g., in the synaptic links. An experimental check in a chemical flow reactor is suggested.

Inhibition of thrombin generation by aspirin is blunted in hypercholesterolemia.

Recent evidence indicates that aspirin inhibits thrombin generation in clotting blood. We noticed that this effect was less pronounced in patients with hypercholesterolemia. The aim of the study was to prove this observation. The effects of aspirin on thrombin generation were evaluated in (1) 46 healthy volunteers, 2 hours after ingestion of a single, 500-mg dose and (2) 28 survivors of myocardial infarction who took 300 mg aspirin/d for 2 weeks. In both populations, two well-matched subgroups were distinguished, using a serum cholesterol level of 6.2 mmol/L (240 mg/dL) and an LDL cholesterol level of 4.0 mmol/L (155 mg/dL) as borderline. Thrombin generation was monitored ex vivo in blood emerging from a skin microvasculature injury and additionally, in a single-dose study in vitro in recalcified plasma. Aspirin depressed thrombin generation in the group of subjects with serum cholesterol < 6.2 mmol/L and LDL cholesterol < 4.0 mmol/L but not in the group with high blood cholesterol levels. Inhibitory effects of aspirin were more pronounced after the 2-week treatment than after a single dose. There was a significant correlation between total serum cholesterol or LDL cholesterol and total amount of thrombin generated after aspirin treatment. In subjects with high blood cholesterol levels, thrombin generation was not affected by aspirin. Blunting of aspirin action in hypercholesterolemia might be explained by (1) alterations in platelet lipid-protein matrix that render their membrane proteins less accessible for acetylation by aspirin and (2) changes in composition and structure of plasma lipoproteins that diminish the chance of aspirin to interact with prothrombin.

Serum immunoglobulin E and sudden cardiac arrest during myocardial infarction.

BACKGROUND: While studying the immunological response to acute myocardial infarction (AMI) we noticed that patients who on admission had a high serum immunoglobulin E (IgE) level were less likely to die suddenly. This observation seemed to deserve verification since atopic patients whose production of IgE was excessive had been reported to have depressed haemostatic platelet function and impaired thrombinogenesis. METHODS: We measured levels of serum IgE in 386 patients with AMI at the time of admission to the coronary care unit. Patients were divided into two groups, depending on the presence (n = 55) or absence (n = 331) of sudden cardiac arrest. The two groups did not differ with respect to age, sex, or risk factors for coronary artery disease. RESULTS: The mean level of serum IgE was significantly higher in the group without sudden cardiac arrest than in the group with this complication. In a separate study we found that high serum IgE levels were associated with delayed thrombin generation in the clotting blood of survivors of myocardial infarction. CONCLUSION: Early determination of serum IgE levels might help to detect patients at risk of sudden cardiac arrest during myocardial infarction. Patients with high serum IgE levels might be protected against sudden cardiac death through the depression of clot formation because of the late appearance of thrombin in their coronary arteries.