Contact details: Address:  Department of Mathematics, University of Leicester, Leicester, LE1 7RH Office: 210 Michael Atiyah Building Tel: +44 (0) 116 252 3819 E-mail: rld8@mcs.le.ac.uk

Research

My research interests are in developing computational methods and tools for applications in molecular simulations, nonlinear dynamics, and signal processing.

Molecular simulation

Structural and dynamic properties of solid-liquid interfaces

Calculating free energy of solid-liquid interfaces

Estimating thermodynamic errors of numerical integrators for molecular dynamics

Nonlinear dynamics

Methods for locating unstable periodic orbits in chaotic dynamical systems

Symbolic dynamics, generating partitions, and homoclinic tangencies in non-hyperbolic chaotic systems

Transition to chaos with multiple positive Lyapunov exponents (sometimes called "hyper-chaos")

Chaotic transitions in semiconductor lasers subject to delayed optical feedback

Measurements and data processing

Analog representation of a measurement process

Implementation of nonlinear filters for continuous measurement processes

Selected Papers

Langevin thermostat for rigid body dynamics

Ruslan L. Davidchack, Richard Handel, and M. V. Tretyakov, J. Chem. Phys. 130, 234101 (2009). Cover image

Direct Calculation of Solid-Liquid Interfacial Free Energy for Molecular Systems: TIP4P Ice-Water Interface

Richard Handel, Ruslan L. Davidchack, Jamshed Anwar, and Andrey Brukhno, Phys. Rev. Lett. 100, 036104 (2008).

Crystal structure and interaction dependence of the crystal-melt interfacial free energy

Ruslan L. Davidchack and Brian B. Laird, Phys. Rev. Lett. 94, 086102 (2005).

Signal analysis through analog representation

Alexei V. Nikitin and Ruslan L. Davidchack, Proc. Roy. Soc. Lond. A 459, 1171-1192 (2003).

Direct calculation of the hard-sphere crystal/melt interfacial free energy

Ruslan L. Davidchack and Brian B. Laird, Phys. Rev. Lett. 85, 4751-4754 (2000).

Chaotic transitions and low frequency fluctuations in semiconductor lasers with optical feedback

Ruslan L. Davidchack, Ying-Cheng Lai, Athanasios Gavrielides, and Vassilios Kovanis, Physica D 145, 130-143 (2000).

Efficient algorithm for detecting unstable periodic orbits in chaotic systems

Ruslan L. Davidchack and Ying-Cheng Lai, Phys. Rev. E 60, 6172-6175 (1999).

Estimating generating partitions of chaotic systems by unstable periodic orbits

Ruslan L. Davidchack, Ying-Cheng Lai, Erik M. Bollt, and Mukeshwar Dhamala, Phys. Rev. E 61, 1353-1356 (2000).

Complete list of publications