canonical ensemble वाक्य
उदाहरण वाक्य
मोबाइल
- Then, a more accurate description is the canonical ensemble or grand canonical ensemble, both of which have complete correspondence to thermodynamics.
- Then, a more accurate description is the canonical ensemble or grand canonical ensemble, both of which have complete correspondence to thermodynamics.
- It should be noted that the ensemble average of the above Hamiltonian at g = 3N is equal to the canonical ensemble average.
- The principal thermodynamic variable of the canonical ensemble, determining the probability distribution of states, is the absolute temperature ( symbol : ).
- For large systems ( in the thermodynamic limit ) these other ensembles become essentially equivalent to the canonical ensemble, at least for average quantities.
- By endowing the configuration space with a probability measure built from a Hamiltonian in this way, the configuration space turns into a canonical ensemble.
- I see far more references, both inside and outside Wikipedia, to " Gibbs canonical ensemble " than to " Gibbs canonical assembly ".
- The path integral now resembles the partition function of statistical mechanics defined in a canonical ensemble with inverse temperature proportional to imaginary time, } }.
- As a result, the grand canonical ensemble can be highly inaccurate when applied to small systems of fixed particle number, such as atomic nuclei.
- For systems where the particle number is variable ( due to contact with a particle reservoir ), the correct description is the grand canonical ensemble.
- 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.
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