Abstract
We study a long-range interacting spin chain placed in a staggered magnetic field using microcanonical approach and obtain the global phase diagram. We find that this model exhibits both first order phase transition and second order phase transition separated by a tricritical point, and temperature jump can be observed in the first order phase transition.
Similar content being viewed by others
References
Dauxois, T., Ruffo, S., Arimondo, E., et al.: Dynamics and thermodynamics of systems with long-range interactions: An introduction[J]. Lecture Notes in Physics-New York then Berlin-, 1–22 (2002)
Dauxois, T., Ruffo, S., Cugliandolo, L.F.: Long-range interacting systems[M]. Oxford University Press, Oxford (2010)
Mukamel, D., Ruffo, S., Schreiber, N.: Breaking of ergodicity and long relaxation times in systems with long-range interactions[J]. Phys. Rev. Lett. 95(24), 240604 (2005)
Campa, A., Giansanti, A., Mukamel, D., et al.: Dynamics and thermodynamics of rotators interacting with both long-and short-range couplings[J]. Physica A: Statistical Mechanics and its Applications 365(1), 120–127 (2006)
Campa, A., Dauxois, T., Ruffo, S.: Statistical mechanics and dynamics of solvable models with long-range interactions[J]. Phys. Rep. 480(3), 57–159 (2009)
Bouchet F., Dauxois T., Mukamel D., et al: Phase space gaps and ergodicity breaking in systems with long-range interactions[J]. Phys. Rev. E 77(1), 011125 (2008)
Bouchet, F., Gupta, S., Mukamel, D.: Thermodynamics and dynamics of systems with long-range interactions[J]. Physica A: Statistical Mechanics and its Applications 389(20), 4389–4405 (2010)
Bertalan, Z., Kuma, T., Matsuda, Y., et al.: Ensemble inequivalence in the ferromagnetic p-spin model in random fields[J]. J. Stat. Mech: Theory Exp. 2011(01), P01016 (2011)
Frigori, R.B., Rizzi, L.G., Alves, N.A.: Extended gaussian ensemble solution and tricritical points of a system with long-range interactions[J]. Eur. Phys. J. B 75(3), 311–318 (2010)
Dauxois, T., De Buyl, P., Lori, L., et al.: Models with short-and long-range interactions: the phase diagram and the reentrant phase[J]. J. Stat. Mech: Theory Exp. 2010(06), P06015 (2010)
Gori, G., Trombettoni, A.: The inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings[J]. J. Stat. Mech: Theory Exp. 2011(10), P10021 (2011)
Britton, J.W., Sawyer, B.C., Keith, A.C., et al.: Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins[J]. Nature 484(7395), 489–492 (2012)
Graß, L.M.: Trapped-ion quantum simulation of tunable-range Heisenberg chains[J]. EPJ Quantum Technology 1(1), 1–20 (2014)
Acknowledgments
This work was jointly supported by the National Natural Science Foundation of China under Grant 11304037, the Natural Science Foundation of Jiangsu Province, China under Grant BK20130604, the Ph.D. Programs Foundation of Ministry of Education of China under Grant 20130092120041, the Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China under Grant 7907020002.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hou, JX., Yu, XC. & Hou, JM. Microcanonical Analysis on a System with Long-Range Interactions. Int J Theor Phys 55, 3923–3926 (2016). https://doi.org/10.1007/s10773-016-3021-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-016-3021-z