Introduction: The genesis of chondrites is a key problem in the concept of the planetary evolution of the solar system, but explanations proposed for the origin of the silicate chondrules and Fe-rich matrix of chondrites notably differ. Most cosmochemists deny genetic links between chondrules and their host matrix, with the chondrules and matrix considered to be genetically separated and genera...

Equilibrium formally can be represented as an ensemble of uncoupled systems undergoing unbiased dynamics in which detailed balance is maintained. Many nonequilibrium processes can be described by suitable subsets of the equilibrium ensemble. Here, we employ the "weighted ensemble" (WE) simulation protocol [Huber and Kim, Biophys. J.1996, 70, 97-110] to generate equilibrium trajectory ensembles ...

We consider the expected residual minimization formulation of the stochastic R0 matrix linear complementarity problem. We show that the involved matrix being a stochastic R0 matrix is a necessary and sufficient condition for the solution set of the expected residual minimization problem to be nonempty and bounded. Moreover, local and global error bounds are given for the stochastic R0 matrix li...

Using the fact that any two player discounted stochastic game with finite state and action spaces can be recast as a non-convex constrained optimization problem, where each global minima corresponds to a stationary Nash equilibrium, we present a sequential quadratic programming based algorithm that converges to a KKT point. This KKT point is an -Nash equilibrium for some > 0 and under some suit...

A boundary integral method is introduced to study the dynamics of the morphological evolution of a three-dimensional, coherent precipitate in an infinite, elastic matrix. The precipitate evolves diffusionally in which the precipitate– matrix interface satisfies a generalized Gibbs–Thomson boundary condition, accounting for surface energy, elastic and interface kinetic energy. Elastically homoge...

A new statistical mechanics formulation of characterizing the structural fluctuation of protein correlated with that of water is presented based on the generalized Langevin equation and the 3D-reference interaction site model (RISM)/RISM theory of molecular liquids. The displacement vector of atom positions, and their conjugated momentum, are chosen for the dynamic variables for protein, while ...

Intracellular stresses affect various cell functions, including proliferation, differentiation and movement, which are dynamically modulated in migrating cells through continuous cell-shaping remodeling of the cytoskeletal architecture induced by spatiotemporal interactions with extracellular matrix stiffness. When migrate on a cell-scale stiffness-heterogeneity, is common situation living tiss...

We investigate the open dynamics of a chain interacting spins using quantized version general equation for nonequilibrium reversible-irreversible coupling from classical out-of-equilibrium thermodynamics. focus on both equilibrium and scenarios chains different sizes. Whereas in case we demonstrate thermal equilibration to correct many-body Gibbs density matrix, show ballistic-to-diffusive tran...