canonical ensemble उदाहरण वाक्य
उदाहरण वाक्य
- The Gibbs measure of an infinite system is not necessarily unique, in contrast to the canonical ensemble of a finite system, which is unique.
- The canonical ensemble is generally the most straightforward framework for studies of statistical mechanics and even allows one to obtain exact solutions in some interacting model systems.
- Lars Onsager famously calculated exactly the free energy of an infinite-sized square-lattice Ising model at zero magnetic field, in the canonical ensemble.
- Although appearing benign at first, this leads to a problem of severely non-extensive entropy in the canonical ensemble, known today as the Gibbs paradox.
- In the canonical ensemble, the entropic force \ mathbf F associated to a macrostate partition \ { \ mathbf { X } \ } is given by:
- For example, in the canonical ensemble the number of particles inside the system is held fixed, whereas particle number can fluctuate in the grand canonical ensemble.
- For example, in the canonical ensemble the number of particles inside the system is held fixed, whereas particle number can fluctuate in the grand canonical ensemble.
- The partition function can be written as the weighted sum of the partition function of canonical ensemble, Z ( N, V, T ) \,.
- The reason for this is that various thermodynamic ensembles ( canonical ) become equivalent in some aspects to the grand canonical ensemble, once the system is very large.
- When the total energy is fixed but the internal state of the system is otherwise unknown, the appropriate description is not the canonical ensemble but the microcanonical ensemble.