Thermodynamic Theory of Structure, Stability and Fluctuations

Self-Organization during Friction in Complex Surface Engineered Tribosystems

“…According to Prigogine [10][11], thermodynamic stability of a system is indicated by the sign of the second variation of entropy, S. If this value is negative, the system is inherently unstable. If a system is unstable equation (1) holds true [10][11] 0…”

White and coloured external noise and transition phenomena in nonlinear systems

“…The stability properties of non-equilibrium systems have become over the last decade a subject of widespread interest, primarily because of their implications for the understanding of cooperative phenomena in physics, chemistry, biology and even more remote fields [1][2][3]. Well-known examples of cooperative non-equilibrium systems are the laser [4,5], the Belousov-Zhabotinskii reaction [6], the B6nard instability [7], the glycolytic oscillations [8,9] and the current instabilities of semi-conductors [10].…”

Time-dependent, irreversible entropy production and geodynamics

“…Earlier work on this subject comes from the chemical modelling or the climate modelling community focusing either on the minimum (Glansdorff et al 1973) or on the maximum principle of entropy production (Paltridge 1979). Although these approaches allow very elegant solutions to complicated problems in Earth sciences (Ozawa et al 2003), they are nonetheless entirely based on minimum/maximum assumptions about how a thermodynamic system should behave.…”