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20022013
most citedMatrix approach to discrete fractional calculus II: partial fractional differential equations

461 citations

Showing 2008Show all

18 papers · 1 filter

cond-mat.dis-nn200817 cited

The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model

A. Cruz, L. A. Fernandez, A. Gordillo-Guerrero +17

We perform numerical simulations, including parallel tempering, on the Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We fin…

cond-mat.soft200834 cited

The second and third Sonine coefficients of a freely cooling granular gas revisited

Andres Santos, Jose M. Montanero

In its simplest statistical-mechanical description, a granular fluid can be modeled as composed of smooth inelastic hard spheres (with a constant coefficient of normal restitution…

cond-mat.dis-nn200899 cited

An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature

Janus Collaboration, F. Belletti, A. Cruz +18

Using the dedicated computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators…

math.NA2008461 cited

Matrix approach to discrete fractional calculus II: partial fractional differential equations

Igor Podlubny, Aleksei V. Chechkin, Tomas Skovranek +2

A new method that enables easy and convenient discretization of partial differential equations with derivatives of arbitrary real order (so-called fractional derivatives) and delay…

nlin.PS2008

Complexity invariance by replication in the quantum square well

Ricardo Lopez-Ruiz, Jaime Sanudo

A new kind of invariance by replication of a statistical measure of complexity is considered. We show that the set of energy eigenstates of the quantum infinite square well display…

cond-mat.soft20087 cited

Simple equation of state for hard disks on the hyperbolic plane

M. López de Haro, A. Santos, S. B. Yuste

A simple equation of state for hard disks on the hyperbolic plane is proposed. It yields the exact second virial coefficient and contains a pole at the highest possible packing. A…