Nonequilibrium thermodynamics of the shear-transformation-zone model

Abstract

The shear-transformation-zone (STZ) model has been applied numerous times to describe the plastic deformation of different types of amorphous systems. We formulate this model within the general equation for nonequilibrium reversible-irreversible coupling (GENERIC) framework, thereby clarifying the thermodynamic structure of the constitutive equations and guaranteeing thermodynamic consistency. We propose natural, physically motivated forms for the building blocks of the GENERIC, which combine to produce a closed set of time evolution equations for the state variables, valid for any choice of free energy. We demonstrate an application of the new GENERIC-based model by choosing a simple form of the free energy. In addition, we present some numerical results and contrast those with the original STZ equations.

Magnetic properties and pairing tendencies of the iron-based superconducting ladderBaFe2S3: Combinedab initioand density matrix renormalization group study

“…Such a regime is clearly favorable for double exchange tendencies, as shown by the DMRG results. This also indicates that ferromagnetic states are close in parameter space to the realistic regimes for iron superconductors, a conclusion that also emerged from previous investigations [21,24,25]. At small U/W the crystal field creates a substantial difference in the populations.…”

“…These exotic spin arrangements arise from frustrating tendencies between the staggered AFM state that dominates at small Hund coupling and the ferromagnetic (FM) state stable at large Hund coupling [21]. Hartree-Fock results for layers [24] and chains [25] also suggest a complex landscape of competing magnetic states in those geometries.…”

Orbital-selective Mott phases of a one-dimensional three-orbital Hubbard model studied using computational techniques

“…Block states are formed by a small number of spins (the "block") that align ferromagnetically within the block, and with an antiferromagnetic coupling between blocks. These states have been reported in experimental and theoretical studies of two-leg ladder selenides belonging to the iron superconductors family [27][28][29], and it is intriguing to speculate on their possible existence in higher dimensional systems [30][31][32]. Moreover, recent investigations [8] unveiled the presence of three types of OSMP regimes, each differing with respect to the number of orbitals occupied by an integer number of electrons.…”

Observation of the Anomalously Slow Relaxation of a Nonergodic System of Interacting Liquid Nanoclusters in a Disordered Confinement of a Random Porous Medium

“…The states and properties of disordered media such as glasses, colloids, polymers, and loose materials have been actively studied in recent years [1][2][3][4][5][6][7][8][9][10][11][12]. Numerical investigations are performed [6,7,16,18], and phenomenological models such as shear transformation zone (STZ) [1,4,9,13,19], dynamic heterogeneity (DH) [2,5,21], random first order transition theory (RFOT), topological bond-oriented local configuration [1,6,7,16,18,27,28], etc. (see, e.g., [1-3, 10, 14, 20]) were introduced and discussed.…”

“…These estimates by Eqs. (6) and (19) with the dependence () T  from [71], as well as  and its temperature dependence determined by the method described in [57], give It follows from Eqs. (4) and (9) that the character of relaxation of the state formed at the reduction of excess pressure to 0 p  is determined by the potential barrier  .…”