aqora

Cross-over from microcanonical ensemble to canonical ensemble by using Gaussian ensemble for a long-range interacting spin chain

Yuchen Yao, Ji-Xuan Hou

PramanaJan 25, 20221 citation

First order phase transitions in the canonical and the microcanonical ensemble

Alfred H�ller

The European Physical Journal BSep 1, 199473 citations

Recovering the equivalence of ensembles II: An Ising chain with competing short and long-range interactions

Vera B. Henriques, Silvio R. A. Salinas

In a pioneer work, John Nagle has shown that an Ising chain with competing short and long-range interactions displays second and first-order phase transitions separated by a tricritical point. More recently, it has been claimed that Nagle's model provides an example of the inequivalence between canonical and microcanonical calculations. We then revisit Nagle's original solution, as well as the usual formulation of the problem in a canonical ensemble, which lead to the same results. Also, in contrast to recent claims, we show that an alternative formulation in the microcanonical ensemble, with the adequate choice of the fixed thermodynamic extensive variables, leads to equivalent thermodynamic results.In a pioneer work, John Nagle has shown that an Ising chain with competing short and long-range interactions displays second and first-order phase transitions separated by a tricritical point. More recently, it has been claimed that Nagle's model provides an example of the inequivalence between canonical and microcanonical calculations. We then revisit Nagle's original solution, as well as the usual formulation of the problem in a canonical ensemble, which lead to the same results. Also, in contrast to recent claims, we show that an alternative formulation in the microcanonical ensemble, with the adequate choice of the fixed thermodynamic extensive variables, leads to equivalent thermodynamic results.

arXiv:1508.03543Aug 14, 20150 citations

On the Local Equivalence Between the Canonical and the Microcanonical Ensembles for Quantum Spin Systems

Hal Tasaki

arXiv:1609.06983Journal of Statistical PhysicsJun 9, 201845 citations

PHASE TRANSITIONS IN QUANTUM SPIN CHAINS

Jenő Sólyom

WORLD SCIENTIFIC eBooksApr 1, 19920 citations

Thermodynamic analysis of a long-range interacting spin system

Zhenyu Yang, Ji-Xuan Hou

A long-range interacting Fermi chain placed in the uniform and the staggered magnetic field is studied via the micro-canonical approach. The relation between the entropy and the energy of the system is obtained by counting the number of microscopic states. We find that this system is non-ergodic and can exhibit first-order phase transition, second-order phase transition, or both. The microcanonical ensemble predicts negative specific heat regions and temperature jumps. Moreover, the global phase diagram of the system is constructed.A long-range interacting Fermi chain placed in the uniform and the staggered magnetic field is studied via the micro-canonical approach. The relation between the entropy and the energy of the system is obtained by counting the number of microscopic states. We find that this system is non-ergodic and can exhibit first-order phase transition, second-order phase transition, or both. The microcanonical ensemble predicts negative specific heat regions and temperature jumps. Moreover, the global phase diagram of the system is constructed.

Modern Physics Letters BFeb 20, 201915 citations

From microcanonical ensemble to canonical ensemble: phase transitions of a spin chain with a long-range interaction

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From microcanonical ensemble to canonical ensemble: phase transitions of a spin chain with a long-range interaction

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