Thermodynamic properties such as temperature, pressure, and internal energy have been defined for finite binary strings from equilibrium distribution of a chosen computable measure. It is demonstrated a binary string can be associated with one-dimensional gas of quasi-particles of certain mass, momentum, and energy A variety of entities such as complex computer and social networks, World Wide W...

This paper describes general methodology that allows one to extend Carnot efficiency of classical thermodynamic for zero rate processes onto thermodynamic systems with finite rate. We define the class of minimal dissipation processes and show that it represents generalization of reversible processes and determines the limiting possibilities of finite rate systems. The described methodology is t...

We study Coulomb blockade effects in the thermodynamic quantities of a weakly disordered metallic grain coupled to a metallic lead by a tunneling contact with a large conductance gT . We consider the case of broken time-reversal symmetry and obtain expressions for both the ensemble averaged amplitude of the Coulomb blockade oscillations of the thermodynamic potential and the correlator of its m...

We present the results of extensive computer simulations performed on solutions of monodisperse charged rod-like polyelectrolytes in the presence of trivalent counterions. To overcome energy barriers we used a combination of parallel tempering and hybrid Monte Carlo techniques. Our results show that for small values of the electrostatic interaction the solution mostly consists of dispersed sing...

A numerical method is presented for computing the time varying stresses in compressor flapper valves that have a flexible backer or stop. Valve and backer geometry are described by finite element models as are commonly produced by commercial finite element software. Mass and stiffness matrices are assembled into a second order system which is then solved by a direct numerical integration in a t...

We study synchronization in a Kuramoto model of globally coupled phase oscillators with a bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop a method for an analytic solution of self-consistent equations describing uniformly rotating complex order parameters, both for single-branch (one possible state of locked oscillators) and multi-branch (two possible ...

It is demonstrated in many thermodynamic textbooks that the equivalence of the different ensembles is achieved in the thermodynamic limit. In this present work we discuss the inequivalence of microcanonical and canonical ensembles in a finite ultracold system at low energies. We calculate the microcanonical momentum distribution function (MDF) in a system of identical fermions (bosons). We find...

Metropolis Monte Carlo simulation is a powerful tool for studying the equilibrium properties of matter. In complex condensed-phase systems, however, it is difficult to design Monte Carlo moves with high acceptance probabilities that also rapidly sample uncorrelated configurations. Here, we introduce a new class of moves based on nonequilibrium dynamics: Candidate configurations are generated th...

We study the chiral phase transition with staggered fermions on the lattice at finite temperature in the strong coupling limit. The thermodynamic potential is derived in the large d approximation where d + 1 is the dimension of space time. Our calculation is simpler than the conventional method and leads to a simple physical interpretation for the approximation scheme.

a numerical framework has been proposed to model the interacting effects of mixture non-ideality and mass transfer on hydrodynamics of a multiphase system using cfd methods.mass transfer during condensation and vaporization is modeled by chemical potential at the liquid-vapor interface. species mass transfers are related to the diffusion at the interface which in turn is related to the concentr...