Boltzmann entropy and the microcanonical ensemble

Abstract

Boltzmann's entropy is slightly modified to make it suitable for discussing phase transitions in finite systems. As an example it is shown that the pendulum undergoes a second order phase transition when passing from a vibrational to a rotating state.

8 pages, accepted for publication in Europhysics Letters, www.epletters.ch

References in corpus (3)

• The influence of Coulomb on the liquid-gas phase transition and nuclear multifragmentation
• Classical Equilibrium Thermostatistics, "Sancta sanctorum of Statistical Mechanics", From Nuclei to Stars
• Microcanonical entropy for small magnetisations

Cited by in corpus (10)

• Gibbs, Boltzmann, and negative temperatures
• Continuous phase transitions with a convex dip in the microcanonical entropy
• Thermodynamic Limit in Statistical Physics
• Statistical Thermodynamics of Polymer Quantum Systems
• On the thermodynamics of classical micro-canonical systems
• Physical pendulum model: Fractional differential equation and memory effects
• The q-exponential family in statistical physics
• Non-extensivity of the configurational density distribution in the classical microcanonical ensemble
• Entropy determination for mixtures in the adiabatic grand-isobaric ensemble
• Two types of $q$-Gaussian distributions used to study the diffusion in a finite region