Error in the Debye–Hückel approximation for dilute primitive model electrolytes with Bjerrum parameters of 2 and ca. 6.8 investigated by Monte Carlo methods. Excess energy, Helmholtz free energy, heat capacity and Widom activity coefficients corrected for neutralising background

1991 ◽  
Vol 87 (3) ◽  
pp. 479-492 ◽  
Author(s):  
Torben Smith Sørensen
Keyword(s):  
Heat Capacity ◽  
Monte Carlo ◽  
Free Energy ◽  
Activity Coefficients ◽  
Monte Carlo Methods ◽  
Helmholtz Free Energy ◽  
Excess Energy ◽  
Primitive Model

Dyonic and Magnetic Black Holes with Rational Nonlinear Electrodynamics

2020 ◽  
Author(s):  
Sergey Kruglov
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Free Energy ◽  
Phase Transitions ◽  
Helmholtz Free Energy ◽  
Magnetic Charge ◽  
The Self ◽  
Nonlinear Electrodynamics ◽  
Dual Case

The principles of causality and unitarity are studied within rational nonlinear electrodynamics proposed earlier. We investigate dyonic and magnetized black holes and show that in the self-dual case, when the electric charge equals the magnetic charge, corrections to Coulomb's law and Reissner-Nordstrom solutions are absent. In the case of the magnetic black hole, the Hawking temperature, the heat capacity and the Helmholtz free energy are calculated. It is shown that there are second-order phase transitions and it was demonstrated that at some range of parameters the black holes are stable.

Monte Carlo methods for the study of cation ordering in minerals

2001 ◽  
Vol 65 (2) ◽  
pp. 221-248 ◽  
Author(s):  
M. C. Warren ◽  
M. T. Dove ◽  
E. R. Myers ◽  
A. Bosenick ◽  
E. J. Palin ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Free Energy ◽  
Long Range ◽  
Monte Carlo Methods ◽  
Disordered Systems ◽  
Short Range ◽  
Short Range Order ◽  
Parallel Computers ◽  
Cation Ordering

AbstractThis paper reviews recent applications of Monte Carlo methods for the study of cation ordering in minerals. We describe the program Ossia99, designed for the simulation of complex ordering processes and for use on parallel computers. A number of applications for the study of long-range and short-range order are described, including the use of the Monte Carlo methods to compute quantities measured in an NMR experiment. The method of thermodynamic integration for the determination of the free energy is described in some detail, and several applications of the method to determine the thermodynamics of disordered systems are outlined.

Sign in / Sign up

Export Citation Format

Share Document