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We show that the presence and the location of first order phase transitions in a thermodynamic system can be deduced by the study of the topology of the potential energy function, V(q), without introducing any thermodynamic measure. In…

统计力学 · 物理学 2009-11-07 L. Angelani , L. Casetti , M. Pettini , G. Ruocco , F. Zamponi

We study the phase diagram of the three-state Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two lattice-vector directions are…

凝聚态物理 · 物理学 2009-10-22 Hyunggyu Park

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The fluctuation of dynamic order parameter has been studied as a function of…

凝聚态物理 · 物理学 2009-10-30 Muktish Acharyya

The kinetics of an initially undercooled solid-liquid melt is studied by means of a generalized Phase Field model, which describes the dynamics of an ordering non-conserved field phi (e.g. solid-liquid order parameter) coupled to a…

凝聚态物理 · 物理学 2009-10-30 Umberto Marini Bettolo Marconi , Andrea Crisanti , Giulia Iori

The thermodynamics of the $q$-state Potts model with arbitrary $q$ on a class of hierarchical lattices is considered. Contrary to the case of the crystal lattices, it has always the second-order phase transitions. The analytical expressions…

无序系统与神经网络 · 物理学 2009-11-10 P. N. Timonin

We present a phenomenological model based on the thermodynamics of the phase separated state of manganites, accounting for its static and dynamic properties. Through calorimetric measurements on La$_{0.225}$Pr$_{0.40}$Ca$ _{0.375}$MnO$_{3}$…

材料科学 · 物理学 2009-11-11 J. Sacanell , F. Parisi , J. C. P. Campoy , L. Ghivelder

In this paper, we consider the $\lambda$-model with nearest neighbor interactions and with competing Potts interactions on the Cayley tree of order-two. We notice that if $\lambda$-function is taken as a Potts interaction function, then…

数学物理 · 物理学 2020-05-20 Farrukh Mukhamedov , Chin Hee Pah , Hakim Jamil , Muzaffar Rahmatullaev

The mechanical response of solids depends on temperature because the way atoms and molecules respond collectively to deformation is affected at various levels by thermal motion. This is a fundamental problem of solid state science and plays…

软凝聚态物质 · 物理学 2015-06-12 Alessio Zaccone , Eugene M. Terentjev

We consider a class of spin systems on $\Z^d$ with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spread-out in the sense that the $J_{x,y}$'s exhibit either…

数学物理 · 物理学 2007-05-23 Marek Biskup , Lincoln Chayes , Nicholas Crawford

We study off-equilibrium behaviors at first-order transitions (FOTs) driven by a time dependence of the temperature across the transition point Tc, such as the linear behavior T(t)/Tc = 1 - t/ts where ts is a time scale. In particular, we…

统计力学 · 物理学 2015-12-22 Haralambos Panagopoulos , Ettore Vicari

The unconstrained ensemble describes completely open systems in which energy, volume and number of particles fluctuate. Here we show that not only equilibrium states can exist in this ensemble, but also that completely open systems can…

统计力学 · 物理学 2021-04-14 Alessandro Campa , Lapo Casetti , Ivan Latella , Stefano Ruffo

We study a one-dimensional, nonequilibrium Potts-like model which has $q$ symmetric absorbing states. For $q=2$, as expected, the model belongs to the parity conserving universality class. For $q=3$ the critical behaviour depends on the…

统计力学 · 物理学 2009-11-07 A. Lipowski , M. Droz

The origin of the non commutativity of the limits $t \to \infty$ and $N \to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N \to \infty$ taken first, the low temperature phase is…

统计力学 · 物理学 2009-10-30 C. Castellano , F. Corberi , M. Zannetti

We consider the patterns of collective motion emerging when many aligning, self-propelling units move in two dimensions while interacting through a repulsive potential and are also subject to delays and random perturbations. In this…

软凝聚态物质 · 物理学 2023-11-14 Fatemeh Pakpour , Tamás Vicsek

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

The phase transition in the q-state Potts model with homogeneous ferromagnetic couplings is strongly first order for large q, while is rounded in the presence of quenched disorder. Here we study this phenomenon on different two-dimensional…

无序系统与神经网络 · 物理学 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

We have studied the ordering of the q-colours Potts model in two dimensions on a square lattice. On the basis of our observations we propose that if q is large enough the system is not able to break global and local null magnetisation…

统计力学 · 物理学 2007-05-23 Miguel Ibanez de Berganza , Vittorio Loreto , Alberto Petri

We investigate quantum phase transitions in the extended periodic Anderson model, which includes electron correlations within and between itinerant and localized bands. We calculate zero and finite temperature properties of the system using…

强关联电子 · 物理学 2009-11-13 Akihisa Koga , Norio Kawakami , Robert Peters , Thomas Pruschke

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two different regimes have…

凝聚态物理 · 物理学 2009-10-28 M. Kolesik , M. Suzuki

We discuss the microscopic mechanisms by which low-temperature amorphous states, such as ultrastable glasses, transform into equilibrium fluids, after a sudden temperature increase. Experiments suggest that this process is similar to the…

统计力学 · 物理学 2016-07-05 Robert L. Jack , Ludovic Berthier