Results 31 to 40 of about 304 (49)

Simetría y nuevas soluciones de la ecuación de vibraciones de una viga elástica

Ingeniería y Ciencia, 2009
En este artículo se estudia la “no Lie” simetría de la ecuación de viga, se construyen todos los operadores de simetría diferenciales lineales, hasta tercer orden.
Nykolay Sukhomlin, José R. Alvarez
doaj  

Corner transfer matrices in statistical mechanics

, 2006
Corner transfer matrices are a useful tool in the statistical mechanics of simple two-dimensinal models. They can be very effective way of obtaining series expansions of unsolved models, and of calculating the order parameters of solved ones.
Baxter R J, Baxter R J, Baxter R J, Gradshteyn I S, Jimbo M, Onsager L, R J Baxter   +6 more
core   +2 more sources

Ising tricriticality and the dilute A$_3$ model

, 2001
Some universal amplitude ratios appropriate to the $\phi_{2,1}$ peturbation of the c=7/10 minimal field theory, the subleading magnetic perturbation of the tricritical Ising model, are explicitly demonstrated in the dilute A$_3$ model, in regime 1 ...
Andrews G E, Batchelor M T, Baxter R J, Colomo F, Fateev V A, Fioravanti D, Izergin A G, Katherine A Seaton, Privman V, Seaton K A, Seaton K A, Smirnov F A, Suzuki J, Warnaar S O, Warnaar S O, Warnaar S O, Zamolodchikov A B, Zamolodchikov A B, Zamolodchikov A B   +18 more
core   +1 more source

Domain wall partition functions and KP

, 2009
We observe that the partition function of the six vertex model on a finite square lattice with domain wall boundary conditions is (a restriction of) a KP tau function and express it as an expectation value of charged free fermions (up to an overall ...
Baxter R J, Hirota R, Izergin A G, Kitanine N Kozlowski K K Maillet J M Slavnov N A Terras V, Kitanine N Maillet J M Slavnov N A Terras V, Korepin V E, Lascoux A, M Wheeler, M Zuparic, Macdonald I G, Miwa T, O Foda   +11 more
core   +1 more source

Painlev\'e Functions in Statistical Physics

, 2009
We review recent progress in limit laws for the one-dimensional asymmetric simple exclusion process (ASEP) on the integer lattice. The limit laws are expressed in terms of a certain Painlev\'e II function.
Tracy, Craig A., Widom, Harold
core   +1 more source

Hall-Littlewood plane partitions and KP

, 2009
MacMahon's classic generating function of random plane partitions, which is related to Schur polynomials, was recently extended by Vuletic to a generating function of weighted plane partitions that is related to Hall-Littlewood polynomials, S(t), and ...
Foda, O, Wheeler, M
core   +1 more source

Exactness of the Bogoliubov approximation in random external potentials

, 2010
We investigate the validity of the Bogoliubov c-number approximation in the case of interacting Bose-gas in a \textit{homogeneous random} media. To take into account the possible occurence of type III generalized Bose-Einstein condensation (i.e.
Bogoliubov N. N., Bogoliubov N. N., Fannes M., Lenoble O., Steele J. M., Thomas Jaeck, Valentin A. Zagrebnov, van den Berg M.   +7 more
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Matrix Whittaker processes. [PDF]

Probab Theory Relat Fields, 2023
Arista J, Bisi E, O'Connell N.
europepmc   +1 more source

Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials

, 2019
Via the solutions of systems of algebraic equations of Bethe Ansatz type, we arrive at bounds for the zeros of orthogonal (basic) hypergeometric polynomials belonging to the Askey-Wilson, Wilson and continuous Hahn families.Comment: 21 pages ...
Emsiz, E., van Diejen, J. F.
core   +1 more source

Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model

, 2004
We propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result (cond-mat/0212280), and contain only r ...
Babelon O., Batchelor M. T., Batchelor M. T., Batchelor M. T., Bazhanov V. V., Bühler A., Destri C., Destri C., Fujii A., Göhmann F., Jimbo M., Jüttner G., Kato G., Kirillov A. N., Kirillov A. N., Klümper A., Klümper A., Klümper A., Koma T., Kulish P. P., Kuniba A., Kuniba A., Kuniba A., Perk J. H. H., Rojas O., Schultz C. L., Shiroishi M., Sutherland B., Suzuki J., Suzuki M., Suzuki M., Takahashi M., Takahashi M., Takahashi M., Takahashi M., Tsuboi Z., Tsuboi Z., Uimin G. V., Ying Z.-J.   +38 more
core   +1 more source