DOI: 10.1016/j.physa.2003.11.028. Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery

Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model

10.1016/j.physa.2003.11.028

Crossref journal-article

Elsevier BV

Physica A: Statistical Mechanics and its Applications (78)

Bibliography

Ellis, R. S., Touchette, H., & Turkington, B. (2004). Thermodynamic versus statistical nonequivalence of ensembles for the mean-field BlumeâEmeryâGriffiths model. Physica A: Statistical Mechanics and Its Applications, 335(3â4), 518â538.

Authors 3

Richard S. Ellis (first)
Hugo Touchette (additional)
Bruce Turkington (additional)

References 32 Referenced 54

{'key': '10.1016/j.physa.2003.11.028_BIB1', 'series-title': 'Fundamentals of Statistical and Thermal Physics', 'author': 'Reif', 'year': '1965'} / Fundamentals of Statistical and Thermal Physics by Reif (1965)
{'key': '10.1016/j.physa.2003.11.028_BIB2', 'series-title': 'Statistical Mechanics', 'author': 'Pathria', 'year': '1996'} / Statistical Mechanics by Pathria (1996)
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{'key': '10.1016/j.physa.2003.11.028_BIB4', 'series-title': 'Elementary Principles in Statistical Mechanics with Especial Reference to the Rational Foundation of Thermodynamics', 'author': 'Gibbs', 'year': '1902'} / Elementary Principles in Statistical Mechanics with Especial Reference to the Rational Foundation of Thermodynamics by Gibbs (1902)
{'key': '10.1016/j.physa.2003.11.028_BIB5', 'series-title': 'Statistical Physics', 'author': 'Wannier', 'year': '1966'} / Statistical Physics by Wannier (1966)
{'key': '10.1016/j.physa.2003.11.028_BIB6', 'series-title': 'Statistical Mechanics', 'author': 'Huang', 'year': '1987'} / Statistical Mechanics by Huang (1987)
{'key': '10.1016/j.physa.2003.11.028_BIB7', 'series-title': 'From Microphysics to Macrophysics: Methods and Applications of Statistical Physics, Vol. I', 'author': 'Balian', 'year': '1991'} / From Microphysics to Macrophysics: Methods and Applications of Statistical Physics, Vol. I by Balian (1991)
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10.1007/BF01403177 / Z. Phys. / Systems with negative specific heat by Thirring (1970)
10.1016/0003-4916(71)90025-X / Ann. Phys. (NY) / A soluble model for a system with negative specific heat by Hertel (1971)
W. Thirring, A Course in Mathematical Physics: Quantum Mechanics of Large Systems, Vol. 4, Springer, New York, 1983.
10.1016/S0378-4371(98)00518-4 / Physica A / Negative specific heat in astronomy, physics and chemistry by Lynden-Bell (1999)
10.1016/0370-1573(90)90051-3 / Phys. Rep. / Statistical mechanics of gravitating systems by Padmanabhan (1990)
{'key': '10.1016/j.physa.2003.11.028_BIB14', 'article-title': 'Microcanonical Thermodynamics: Phase Transitions in “Small” Systems', 'volume': 'Vol. 66', 'author': 'Gross', 'year': '2001'} / Microcanonical Thermodynamics: Phase Transitions in “Small” Systems by Gross (2001)
10.1007/BF02099602 / Commun. Math. Phys. / A special class of stationary flows for two-dimensional Euler equations: a statistical mechanical description, part II by Gaglioti (1995)
10.1017/S0022112091003038 / J. Fluid Mech. / Statistical equilibrium states for two-dimensional flows by Robert (1991)
10.1023/A:1007370621385 / Lett. Math. Phys. / The micro-canonical point vortex ensemble: beyond equivalence by Kiessling (1997)
{'key': '10.1016/j.physa.2003.11.028_BIB18', 'first-page': '239', 'volume': '15', 'author': 'Ellis', 'year': '2002', 'journal-title': 'Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows, Nonlinearity'} / Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows, Nonlinearity by Ellis (2002)
10.1063/1.859362 / Phys. Fluids B / Nonaxisymmetric thermal equilibria of a cylindrically bounded guiding center plasma or discrete vortex system by Smith (1990)
10.1007/s100510070183 / Eur. Phys. J. B / Violation of ensemble equivalence in the antiferromagnetic mean-field XY model by Dauxois (2000)
10.1103/PhysRevLett.87.030601 / Phys. Rev. Lett. / Inequivalence of ensembles in a system with long-range interactions by Barré (2001)
{'key': '10.1016/j.physa.2003.11.028_BIB22', 'article-title': 'Ensemble inequivalence in mean-field models of magnetism', 'volume': 'Vol. 602', 'author': 'Barré', 'year': '2002'} / Ensemble inequivalence in mean-field models of magnetism by Barré (2002)
10.1023/A:1026446225804 / J. Stat. Phys. / Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles by Ellis (2000)
{'key': '10.1016/j.physa.2003.11.028_BIB24', 'series-title': 'Entropy, Large Deviations, and Statistical Mechanics', 'author': 'Ellis', 'year': '1985'} / Entropy, Large Deviations, and Statistical Mechanics by Ellis (1985)
{'key': '10.1016/j.physa.2003.11.028_BIB25', 'series-title': 'Large Deviations Techniques and Applications', 'author': 'Dembo', 'year': '1998'} / Large Deviations Techniques and Applications by Dembo (1998)
10.1080/03461238.1995.10413952 / Scand. Actuarial J. / An overview of the theory of large deviations and applications to statistical mechanics by Ellis (1995)
10.1016/S0167-2789(99)00101-3 / Physica D / The theory of large deviations: from Boltzmann's 1877 calculation to equilibrium macrostates in 2D turbulence by Ellis (1999)
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10.1007/BF01053597 / J. Stat. Phys. / Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence by Eyink (1993)
10.1103/PhysRevE.66.025103 / Phys. Rev. E / First and second order clustering transitions for a system with infinite-range attractive interaction by Antoni (2002)
H. Touchette, R.S. Ellis, Nonequivalence of ensembles, metastability, and first-order phase transitions, 2004, in preparation. (10.1142/9789812701558_0009)

Dates

Type	When
Created	21 years, 7 months ago (Dec. 31, 2003, 7:13 a.m.)
Deposited	5 years, 4 months ago (March 28, 2020, 11:35 a.m.)
Indexed	1 year, 1 month ago (July 9, 2024, 12:34 p.m.)
Issued	21 years, 4 months ago (April 1, 2004)
Published	21 years, 4 months ago (April 1, 2004)
Published Print	21 years, 4 months ago (April 1, 2004)

Funders 0

None

BibTeX

@article{Ellis_2004, title={Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model}, volume={335}, ISSN={0378-4371}, url={http://dx.doi.org/10.1016/j.physa.2003.11.028}, DOI={10.1016/j.physa.2003.11.028}, number={3–4}, journal={Physica A: Statistical Mechanics and its Applications}, publisher={Elsevier BV}, author={Ellis, Richard S. and Touchette, Hugo and Turkington, Bruce}, year={2004}, month=apr, pages={518–538} }

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