Search Results - subject:"Liouville equation"

Fractional Liouville equation on lattice phase-space

Tarasov, Vasily E. - In: Physica A: Statistical Mechanics and its Applications 421 (2015) C, pp. 330-342

In this paper we propose a lattice analog of phase-space fractional Liouville equation. The Liouville equation for … lattice equation into Liouville equation with conjugate Riesz fractional derivatives of non-integer orders with respect to … coordinates of continuum phase-space. An application of the fractional Liouville equation with these Riesz fractional derivatives …

Persistent link: https://www.econbiz.de/10011194005

Variational methods for time-dependent classical many-particle systems

Sereda, Yuriy V.; Ortoleva, Peter J. - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 4, pp. 628-638

A variational method for the classical Liouville equation is introduced that facilitates the development of theories … extrema imply that ρ satisfies the Liouville equation. Multiscale methods are used to develop trial functions to be optimized …

Persistent link: https://www.econbiz.de/10011062465

Infinitely many solutions for a double Sturm–Liouville problem

Giuseppina D’Aguì - In: Journal of Global Optimization 54 (2012) 3, pp. 619-625

In this paper, we prove the existence of infinitely many solutions to differential problems where both the equation and the conditions are Sturm–Liouville type. The approach is based on critical point theory. Copyright Springer Science+Business Media, LLC. 2012

Persistent link: https://www.econbiz.de/10010994035

Multiscale derivation of an augmented Smoluchowski equation

Shreif, Z.; Ortoleva, P. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 5, pp. 593-600

parameter ε, the ratio of the mass of a typical atom to that of the nanoparticle, is introduced and the Liouville equation is … nanoparticle, the O(ε2) solution of the Liouville equation yields an equation for W to O(ε3). An augmented Smoluchowski equation … for W is obtained from the O(ε2) analysis of the Liouville equation for a particular class of initial data. However, for a …

Persistent link: https://www.econbiz.de/10011063590

Canonical decomposition of linear transformations of two independent Brownian motions

Föllmer, Hans; Wu, Ching-tang; Yor, Marc - 1998

Motivated by the Kyle-Back model of 'insider trading', we consider certain classes of linear transformations of two independent Brownian motions and study their canonical decomposition as semimartingales in their own filtration. In particular we characterize those transformations which generate...

Persistent link: https://www.econbiz.de/10010309915

Canonical decomposition of linear transformations of two independent Brownian motions

Föllmer, Hans; Wu, Ching-tang; Yor, Marc - Sonderforschungsbereich 373, Quantifikation und … - 1998

Persistent link: https://www.econbiz.de/10010983840

Entropy and HUHPM approach for complex networks

Qiao, Bi; Jin-Qing, Fang - In: Physica A: Statistical Mechanics and its Applications 383 (2007) 2, pp. 753-762

based on an open Liouville equation for the driven network. The proposed harmonious unifying hybrid preferential models …

Persistent link: https://www.econbiz.de/10010872201

The variable separated ODE method for travelling wave solutions for the Boussinesq-double sine-Gordon and the Boussinesq-double sinh-Gordon equations

Wazwaz, Abdul-Majid - In: Mathematics and Computers in Simulation (MATCOM) 72 (2006) 1, pp. 1-9

Travelling wave solutions for the Boussinesq-double sine-Gordon (B-sine-Gordon) equation, the Boussinesq-double sinh-Gordon equation (B-sinh-Gordon), and the Boussinesq-Liouville (BL) equation are formally derived. The approach rests mainly on the variable separated ODE method. Distinct sets of...

Persistent link: https://www.econbiz.de/10010749013

Dynamical equations of quantum information and interference

Qiao, Bi; Ruda, H.E.; Zhou, Z.D. - In: Physica A: Statistical Mechanics and its Applications 364 (2006) C, pp. 170-182

field theory and Liouville equation. The property of evolution of QID by studying the evolution of density operator is also …

Persistent link: https://www.econbiz.de/10010590438

Dynamical equations of quantum information and Gaussian channel

Qiao, Bi; Ruda, H.E.; Zhou, D.Z. - In: Physica A: Statistical Mechanics and its Applications 363 (2006) 2, pp. 198-210

that the Liouville equation, Master equation and Fokker–Planck equation for QID all share the same formalism as the density …

Persistent link: https://www.econbiz.de/10010591492