Level statistics of multispin-coupling models with first- and second-order phase transitions
نویسندگان
چکیده
منابع مشابه
Second Order Phase Transitions
summing the Boltzmann factor over all spin configurations {si}. The enumeration of all configurations cannot be done for d ≥ 3, and although possible in d = 2 is extremely hard there as well (a problem solved by Onsager). We will use an approximate solution technique known as mean field theory. Last term we solved the problem of noninteracting spins in a magnetic field described by the Hamilton...
متن کاملasymptotic property of order statistics and sample quntile
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولSingular Perturbation Models in Phase Transitions for Second Order Materials
A variational model proposed in the physics literature to describe the onset of pattern formation in two-component bilayer membranes and amphiphilic monolayers leads to the analysis of a Ginzburg-Landau type energy, precisely, u 7→ ∫ Ω [ W (u)− q |∇u| + ∣∣∇2u∣∣2 ] dx. When the stiffness coefficient −q is negative, one expects curvature instabilities of the membrane and, in turn, these instabili...
متن کاملSecond Order Singular Perturbation Models for Phase Transitions
Singular perturbation models involving a penalization of the first order derivatives have provided a new insight into the role played by surface energies in the study of phase transitions problems. It is known that if W : Rd → [0,+∞) grows at least linearly at infinity and it has exactly two potential wells of level zero at a, b ∈ Rd, then the Γ(L1)– limit of the family of functionals Fε(u) := ...
متن کاملQuantum first order phase transitions
The scaling theory of critical phenomena has been successfully extended for classical first order transitions even though the correlation length does not diverge in these transitions. In this paper we apply the scaling ideas to quantum first order transitions. The usefulness of this approach is illustrated treating the problems of a superconductor coupled to a gauge field and of a biquadratic H...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.241