Statistical mechanics of nonlinear elasticity in a system of hard disks (ICMS conference "Geometric Analysis, Elasticity and PDE" in honour of J M Ball's 65th birthday, Edinburgh, June 2008.) Click here to see the transparencies I made for this lecture:
(pdf file )
Mathematical modelling, finance and the recession
(BMC/BAMC, Edinburgh, 6-9 April 2010)
Click here to see the electronic slides I made for this presentation:
(pdf file).
Click here to see the slides used for my longer talk with the same title
at Heriot-Watt University 26 May 2010 (pdf file).
Click here to see a version of this talk in the form of a text with illustrations
(pdf file).
Positive thinking about negative temperatures (conference "Analytical results in statistical physics" in memory of Bernard Jancovici, Paris November 5-6 2015). Click here to see the slides used for this talk (
Projects in progress or abandoned
Statistical mechanics of nonlinear elasticity (see reference 19 below and lecture notes above)
Theory of curvature and grooving effects in diffusion-induced grain boundary motion,
(with J W Cahn). I regret to say that this project is unlikely to be completed, since John Cahn died in March 2016
Extension of the theory described in my book `Foundations of statistical mechanics' (Dover reprint, 2005) to the case where the sequence of successive obervational states is not assumed to be Markovian
Off-diagonal long-range order in its relation to the thermodynamics and electrodynamics of superconductivity
Time evolution of a weakly interacting Bose system, with or without condensate
(Lecture at Warwick University workshop on 'Large many-body systems',
23 August 2004) (pdf file)
A system of kinetic equations for phase transitions in the presence of mushy zones
"Statistical mechanics" of two-dimensional turbulence
( pdf file)
Theory of one-component micelles (with D.G. Hall and J. Wattis), unlikely to be completed.
Time's arrow and Occam's razor (incomplete draft, 2015 or earlier) (pdf file)
Ancient Publications
- Bose-Einstein Condensation & Phonons in Helium II. Paper presented at the Fifth International Conference on Low-temperature
Physics and Chemistry, Madison, Wisconsin, August 26-31, 1957, published
in "Low-Temperature Physics and Chemistry", ed. J R Dillinger, University of
Wisconsin Press, Madison, 1958 (pdf file)
Recent Publications
- Quantum mechanics and real events, O. Penrose, pp 257-264 of Quantum Chaos - Quantum Measurement edited by P Cvitanovic et al. (Kluwer, 1992) ( pdf file)
- Proof of dynamical scaling in Smoluchowski's coagulation equation with constant kernel. M Kreer and O.Penrose, J. Stat. Phys. 75, 389-407 (1994). (pdf file)
- Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter. P Fife and O Penrose, Electronic J. Diff. Eqns. Vol. 1995 (1995) no.16 pp 1-49. (US sites:
Abstract,
Postscript File ,
TeX code, etc..
European sites:
Abstract,
Postscript File,
TeX code, etc.).
( pdf file)
- Motion resulting from diffusion within an interface: J. W. Cahn, P. C. Fife and O. Penrose. pp 37-46 of Curvature Flows and Related Topics (Proceedings of a conference held in Levico in 1994) ed. A. Damlamian, J. Spruck and A. Visintin (Gakkotosho, Tokyo, 1995)
- Metastable decay rates, asymptotic expansions, and analytic continuation of thermodynamic functions: O. Penrose, J.Stat.Phys 78, 267-283 (1995).
(postscript file).
- Ising model for phase separation in alloys with elastic interaction. I Theory: P. Fratzl and O. Penrose, Acta Metall. Mater. 43, 2921-2930 (1995).
(postscript file).
- Ising model for phase separation in alloys with anisotropic elastic interaction.II A computer experiment: P. Fratzl and O. Penrose,
Acta Materiala 44, 3227-3229 (1996)
(postscript file).
- The "game of everything": O. Penrose,
Markov Processes Relat. Fields 2, 167-182 (1996)
(PDF file).
- Kinetics of spinodal decomposition in the Ising model with vacancy dynamics -
Reply: P. Fratzl and O. Penrose,
Physical Review B 53, 2890-2891 (1996).
- The Wiener programme in statistical physics: is it feasible in the light of recent developments? Proceedings of the Norbert Wiener Centenary Congress,
1994 (eds V Mandrekar and P R Masani) AMS Proc. Symp. Appl. Math. 52,
37-52 (1997).
- Dissolution of precipitates heated above the solubility line: A Monte Carlo simulation: I Zizak, P. Fratzl and O. Penrose,
Phys Rev B 55, 12121-12127 (1997).
- Competing mechanisms for precipitate coarsening in phase separation
with vacancy dynamics: P. Fratzl and O. Penrose,
Phys. Rev. B 55, R6101-R6104 (1997).
- The Becker-Doering equations at large times and their connection with the LSW theory of coarsening: O. Penrose, J. Stat. Phys. 89, 305-320 (1997)
- A phase-field model for diffusion-induced grain boundary motion:
J. W. Cahn, P. C. Fife and O. Penrose, Acta Mater. 45, 4397-4413 (1997).
-
Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation.
J. Carr and O. Penrose, Physica D 124, 166-176 (1998).
- Modeling of phase separation in alloys with coherent elastic misfit:
Peter Fratzl, Oliver Penrose and Joel L. Lebowitz, J. Stat. Phys. 95, 1429-1503 (1999).
- Coarsening in the Ising model with vacancy dynamics:
P.Fratzl, O.Penrose, R.Weinkamer and I.Zizak, Physica A 279, 100-109 (2000).
- Close to close packing:
O. Penrose and G. Stell, J. Stat. Phys. 100, 89-95 (2000)
(pdf file).
- The direction of time: pp 61-82 of the book
"Chance in physics: foundations and perspectives" (proceedings of
a conference held in Naples, 1999) edited by J. Bricmont and others,
Springer lecture notes in physics no. 574 (2001)
(pdf file).
- Statistical mechanics of nonlinear elasticity:
Markov Processes and Related Fields 8, 351-364 (2002)
(pdf file); correction: ibid. 12, 169 (2006)
(pdf file).
- A mathematical model for diffusion-induced grain boundary motion,
by O Penrose and J W Cahn, pp 237-254 of "Free Boundary Problems: Theory and Applications" (ed. P, Colli, C. Verdi and A. Visintin),
International Series of Numerical Mathematics Vol. 147, Birkhauser, Basel 2003
(pdf file).
- Using kinetic Monte Carlo simulations to study phase separation in alloys:
R. Weinkamer, P. Fratzl, H.S. Gupta, O. Penrose, and J.L. Lebowitz,
Phase Transitions 77, 433-456 (2004).
(pdf file).
- On the elastic driving mechanism in diffusion-induced
grain boundary motion: O. Penrose, Acta Materialia 52, 3901-3910 (2004)
(pdf file).
- A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing: S. Kuksin and O. Penrose,
J. Stat. Phys. 118, 437-449 (2005)
( pdf file)
- An asymmetric world: O. Penrose,
Nature 438, 919 (2005)
( pdf file)
- Reversibility and irreversibility: O. Penrose, Oberwolfach Reports 3, 2682-2685 (European Mathematical Society 2006).
( pdf file )
-
A beautiful method of analysis: O. Penrose, pp 443-451 of "Fifty years of human genetics: A Festschrift and liber amicorum to celebrate the life and work of
George Robert Fraser", edited by Oliver Mayo and Carolyn Leach, (ISBN 9781862547537, Wakefield Press, Adelaide, 2007)
-
Kelvin and statistical mechanics : chapter 14 of "Kelvin: life, labours and legacy" edited by Raymond Flood, Mark McCartney and Andrew Whitaker, (ISBN-13: 978-0199231256, Oxford University Press, Oxford 2008)
-
Nucleation and droplet growth as a stochastic process : chapter 12 (pp 265-277) of "Analysis and Stochastics of Growth Processes", edited by P. Morters, R. Moser, M. Penrose, H. Schwetlick and J. Zimmer, (ISBN 978-0-19-923925, Oxford University Press, Oxford 2008.)
(pdf file)
-
How to beat the recession: public enterprise, not fiscal stimulus: Compass Thinkpiece no. 51 (May 2009). (
pdf file)
-
Probabilistic characteristics of random damage events and their quantification in acrylic bone cement : G. Qi, S. F. Wayne, O. Penrose, G. Lewis, J. Hochstein and K. Mann, Journal of Materials Science: Materials in Medicine (2010)
21:2915-2922 DOI 10.1007/s10856-010-4155-9 (pdf file)
-
Comparing the efficiencies of stochastic isothermal molecular dynamics methods : B. Leimkuhler, E. Noorizadeh and O. Penrose, J. Stat. Phys. 143 (2011), 921-942. DOI: 10.1007/s10955-011-0210-2 (pdf file)
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Entropy and irreversibility in dynamical systems : O.Penrose,
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (2013) 2013371 20120349;DOI: 10.1098/rsta.2012.0349. (pdf file )
-
Physics of negative absolute temperatures : E.Abraham and O.Penrose,
Physical Review E 95 (Jan. 2017), 012125-1 to -8. DOI: 10.1103/PhysRevE.95.012125
(pdf file )
- On the mathematical modelling of cellular (discontinuous) precipitation : O. Penrose and the late J. W. Cahn : Discrete and Continouous Dynamical Systems, series A (DCDS-A) 37 (Feb. 2017) 963 - 982 ; doi:10.3934/dcds.2017040 (pdf file )
- Microscopic Irreversibility: Looking for a Microscopic Description of Time Asymmetry : O.Penrose,
Journal of Statistical Physics
https://doi.org/10.1007/s10955-020-02548-6
(published on-line 4 May 2020)
For a full list of publications up to December 2005 please click here :
( pdf file).
Oliver Penrose / Heriot-Watt University / O.Penrose@hw.ac.uk / tel. +44 131 451 3225 /
fax +44 131 451 3249