Binary aggregation is known to lead, under certain kinetic rules, to the coexistence of two populations, one consisting of finite-size clusters (sol), and one that contains a single cluster that carries a finite fraction of the total mass (giant component or gel). The sol-gel transition is commonly discussed as a phase transition by qualitative analogy to vapor condensation. Here we show that t...

The commonly used thermodynamic variables are generalized so as to take account of irreversible processes across a thin boundary separating a system from its surroundings. This permits one to relate heat transfer and work performance in irreversible processes to those carried out reversibly. The commonly used functions of state have been generalized to include the contribution of irreversible c...

Glansdorff and Prigogine proposed a decomposition of the entropy production rate, which has more recently been rediscovered in various constructions of nonequilibrium statistical mechanics. Their context was irreversible thermodynamics which, while ignoring fluctuations, still allows a somewhat broader treatment than the one based on the Master or Fokker-Planck equation. Glansdorff and Prigogin...

An outline is presented of a new thermodynamics of open chemical systems combined with a principle of virtual dissipation which provides a unified approach in a large domain of continuum physics, including deformable solids and fluid mixtures.

1. Introduction. In the linear range a general theory of thermoelasticity based on irreversible thermodynamics was developed and discussed extensively in some earlier work ([3], [4], [9]). It was assumed that the elastic solid is initially in a stress-free equilibrium state at uniform temperature. Completely linearized perturbations in the vicinity of this equilibrium state are then analyzed as...

Applying Gibb’s geometrical methods to the thermodynamics of H-plasmas we explore the landscape of the free energy as a function of the degrees of ionization and dissociation. Several approximations for the free energy are discussed. We show that in the region of partial ionization/dissociation the quantum Debye-Hückel approximation (QDHA) yields a rather good but still simple representation wh...

Most natural processes occur far from equilibrium and cannot be treated within the framework of classical thermodynamics. In 1998, Oono and Paniconi [Oono, Y. & Paniconi, M. (1998) Prog. Theor. Phys. Suppl. 130, 29-44] proposed a general phenomenological framework, steady-state thermodynamics, encompassing nonequilibrium steady states and transitions between such states. In 2001, Hatano and Sas...

15.1. The First Law of Thermodynamics • Define the first law of thermodynamics. • Describe how conservation of energy relates to the first law of thermodynamics. • Identify instances of the first law of thermodynamics working in everyday situations, including biological metabolism. • Calculate changes in the internal energy of a system, after accounting for heat transfer and work done. 15.2. Th...

The first law of thermodynamics, also known as Law Conservation Energy, states that work cannot be created or destroyed in an isolated system. Here-in presented is a system, tested and with calculations interferes the thermodynamics. proposed system shows it takes less to pump air underwater than produced by quantity water lifted above level pressure lifts addition accumulated stored underwater...

Our approach views the thermodynamics and kinetics in general relativity and extended gravitational theories (with generic local anisotropy) from the perspective of the theory of stochastic differential equations on curved spaces. Nonequilibrium and irreversible processes in black hole thermodynamics are considered. The paper summarizes the author’s contribution to Journees Relativistes 99 (12–...