**Random magnets**– Disordered magnetic materials such as spin glasses have complex memory properties due to very slow dynamics. Understanding these dynamics and the thermodynamic landscape is the focus of these papers.**Algorithms**– Papers on developing efficient computational methods (or proving that efficient methods don’t exist).**Elastic media in disordered environments**– Papers concerned with the self-affine structure of elastic objects pinned by disorder.**Geometry of disorder**– These papers focus on the fractal geometry of excitations in disordered systems and how this geometry affects the thermodynamics of a material.**Collective transport**– The study of driven interacting particles through a disordered background. Includes transport of electronic condensates (charge density waves), elastic lines or interfaces, a very simple model of “traffic” (particles on a 2D grid), and incoherent tunneling of electrons on arrays of quantum dots.**Avalanches, mode locking, automata**– These papers are primarily concerned with the response of unstable collections of particles to perturbations.**Others**– vibrational modes in model glasses, light scattering, hydrodynamics of intersecting lines, particles, experimental nuclear physics, and education.

**Random magnets**

- “Extracting thermodynamic behavior of spin glasses from the overlap function”, A. Alan Middleton, Physical Review B
**87**, 220201(R) (2013);

local: MiddletonPRB2013; preprint: cond-mat/1303.2253. - “Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass”,

Creighton K. Thomas, David A. Huse, A. Alan Middleton.

Physical Review Letters**107**, 047203 (2011).

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/1103.1946. - “Chaos and universality in two-dimensional Ising spin glasses”,

Creighton K. Thomas, David A. Huse, A. Alan Middleton.

Preprint archived as cond-mat/1012.3444. - “Scaling, domains, and states in the four-dimensional random field Ising magnet”,

A. Alan Middleton,

Preprint archived as cond-mat/0208182; available as pdf preprint with both small and large figures. - “The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states”,

A. Alan Middleton and Daniel S. Fisher,

Physical Review B**65**, 134411 (2002).

Please see publication (or local pdf copy or local ps copy) for final version;

preprint archived as cond-mat/0107489. - “Configuration Memory in Patchwork Dynamics for Low-dimensional Spin Glasses”,

Jie Yang and A. Alan Middleton,

Physical Review B**96**, 214208 (2017) (local pdf copy) for final version;

preprint archived as https://arxiv.org/abs/1703.09806v2.

**Algorithms**

- “Numerically exact correlations and sampling in the two-dimensional Ising spin glass”,

Creighton K. Thomas and A. Alan Middleton.

Physical Review E**87**, 043303 (2013).

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/1301.1252. - “Exact algorithm for sampling the two-dimensional Ising spin glass”,

Creighton K. Thomas, A. Alan Middleton.

Physical Review E**80**, 046708 (2009).

Please see publication (10.1103/PhysRevE.80.046708)

(or local pdf copy) for final version.

Preprint archived as cond-mat/0906.5519. - “Persistence and Memory in Patchwork Dynamics for Glassy Models”,

Creighton K. Thomas, Olivia L. White, A. Alan Middleton,

Physical Review B**77**, 092415 (2008).

Please see publication (10.1103/PhysRevB.77.092415)

(or local pdf copy) for final version.

Preprint archived as cond-mat/0708.0683. - “Matching Kasteleyn Cities for Spin Glass Ground States”,

Creighton K. Thomas, A. Alan Middleton,

Physical Review B**76**, 220406(R) (2007).

Please see publication (10.1103/PhysRevB.76.220406)

(or local pdf copy) for final version.

Preprint archived as cond-mat/0706.2866. - “Linking physics and algorithms in the random-field Ising model”,

Jan H. Meinke and A. Alan Middleton,

Preprint archived as cond-mat/0502471. - “Racing downhill: optimization and the random-field Ising model”,

D. Clay Hambrick, Jan H. Meinke, and A. Alan Middleton,

Preprint archived as cond-mat/0501269. - “Counting States and Counting Operations”,

A. Alan Middleton.

Chapter 5 (pp. 71-100) in New Optimization Algorithms in Physics,

Eds. Hartmann and Rieger, Wiley-VCH (2004). - “Improved extremal optimization for the Ising spin glass”,

A. Alan Middleton.

Physical Review E**69**, 055701 (2004).

Please see publication (or local pdf copy or local ps copy) for final version;

preprint archived as cond-mat/0402295 (local pdf or ps also available). - “Percolation of unsatisfiability in finite dimensions”,

J. M. Schwarz and A. Alan Middleton,

Physical Review E**70**, 035103(R) (4pp., 2004).

Please see publication (or local pdf copy or local gzipped ps copy) for final version;

preprint archived as cond-mat/0309240; preprint available locally as ps or pdf. - “Critical slowing down in polynomial time algorithms”,

A. Alan Middleton,

Physical Review Letters**88**, 017202 (2002).

Please see publication (or local pdf copy or local ps copy) for final version;

preprint archived as cond-mat/0104185. - “Computational Complexity of Determining the Barriers to Interface Motion in Random Systems”,

Physical Review E**59**, 2571-2577 (1999).

A. Alan Middleton.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9902203.

**Elastic media in disordered environments**

- “Measuring functional renormalization group fixed-point functions for pinned manifolds”,

A. Alan Middleton, P. Le Doussal, and K. J. Wiese,

Physical Review Letters**98**, 155701 (2007).

Please see publication (or local pdf copy or local ps copy) for final version;

preprint archived as cond-mat/0606160. - “Disorder-Induced Topological Defects in a d=2 Elastic Medium at Zero Temperature”,

Physical Review B**61**, 14787-14790 (2000).

A. Alan Middleton.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9807374. - “Simulation of the Zero Temperature Behavior of a 3-Dimensional Elastic Medium”,

Phys. Rev. B**60**, 10062-10069 (1999).

David McNamara, A. Alan Middleton, Chen Zeng.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9905058. - “Ground-State Roughness of the Disordered Substrate and Flux Line in d=2”,

Physical Review Letters**77**, 3204-3207 (1996).

Chen Zeng, A. Alan Middleton, Y. Shapir.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9609029. - “Numerical Results for the Ground-State Interface in a Random Medium”,

Physical Review**E52**, R3337 (1995).

A. Alan Middleton.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9507130.

**Geometry of disorder**

- “Minimal spanning trees at the percolation threshold: a numerical calculation”,

Sean M. Sweeney and A. Alan Middleton,

Physical Review E**88**, 032129 (2013).

Please see publication (10.1103/PhysRevE.88.032129)

(or local pdf copy) for final version.

Preprint is archived as 1307.0043 at arxiv.org. - “Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions?”,

D. Bernard, P. Le Doussal, and A. Alan Middleton,

Physical Review B**76**, 020403(R) (2007).

Please see publication (10.1103/PhysRevB.76.020403)

(or local pdf copy) for final version.

Preprint is archived as cond-mat/0611433. - “Energetics and geometry of excitations in random systems”,

A. Alan Middleton,

Phys. Rev. B**63**, 060202(R) (2001) (4 pages);

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/0007375. - “Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder”.

Phys. Rev. Lett.**83**, 1672-1675 (1999).

A. Alan Middleton.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9904285. - “Statistical Topography of Glassy Interfaces”,

Physical Review Letters**80**, 109-112 (1998).

Chen Zeng, Jane’ Kondev, David McNamara, and A. Alan Middleton.

Please see publication for final version;

preprint archived as cond-mat/9709092.

**Collective transport**

- “Mean Field Theory of Collective Transport with Phase Slips”,

Karl Saunders, J. M. Schwarz, M. Cristina Marchetti, A. Alan Middleton.

Physical Review B**70**, 024205 (2004).

Please see publication (or local pdf copy or local gzipped ps copy) for final version;

preprint archived as cond-mat/0311259 (local pdf or ps.gz also available). - “Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops”,

Physical Review Letters**85**, 1104-1107 (2000).

M. Cristina Marchetti, A. Alan Middleton, Thomas Prellberg.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9912461. - “Effects of Disorder on Electron Transport in Arrays of Quantum Dots”

Shantenu Jha and A. Alan Middleton

Preprint archived as cond-mat/0511094. - “Vortex Dynamics and Defects in Simulated Flux Flow”,

Physical Review B**54**, 12427-12436 (1996).

Michael C. Faleski, M. Cristina Marchetti, and A. Alan Middleton.

Please see publication (or local pdf copy) for final version;

preprint archived as cond-mat/9605053. - “Avalanches and the renormalization group for pinned charge-density waves”,

Physical Review B**49**, 244 (1994).

Onuttom Narayan and A. Alan Middleton.

Please see publication for final version;

preprint archived as cond-mat/9305023. - “Self-Organization and a Dynamical Transition in Traffic-flow Models,”

Physical Review A**46**, R6124 (1993).

Ofer Biham, A. Alan Middleton, and Dov Levine.

Please see publication for final version;

preprint archived as cond-mat/9206001. - “Collective Transport in Arrays of Small Metallic Dots”,

Physical Review Letters**71**, 3198 (1993).

A. Alan Middleton and Ned S. Wingreen.

Please see publication for final version;

preprint archived as cond-mat/9304013. - “Scaling Near Mode Locking in a Charge Density Wave Conductor”,

Physical Review Letters**70**, 3784 (1993).

Mark J. Higgins, A. Alan Middleton, and S. Bhattacharya. - “Critical Behavior of Charge Density Waves Below Threshold: Numerical and Scaling Analysis”,

Physical Review B**47**, 3530 (1993).

A. Alan Middleton and D. S. Fisher.

Please see publication for final version;

preprint archived as cond-mat/9207027. - “Thermal Rounding of the Charge Density Wave Depinning Transition,”

Physical Review B**45**, 9465 (1992).

A. Alan Middleton.

Please see publication for final version;

preprint archived as cond-mat/9205011. - “Elastic String in a Random Potential,”

Physical Review Letters**70**, 662 (1993).

M. Dong, A. Alan Middleton, M. Cristina Marchetti, and Valerii Vinokur.

Please see publication for final version;

preprint archived as cond-mat/9205010. - “Asymptotic Uniqueness of the Sliding State for Charge Density Waves,”

Physical Review Letters**68**, 670 (1992).

A. Alan Middleton. - Reply to comment on “Critical Behavior of Pinned Charge-Density Waves below the Threshold for Sliding,”

Physical Review Letters**67**, 3873(1991).

A. Alan Middleton, Daniel S. Fisher, and Peter B. Littlewood. - “Critical Behavior of Pinned Charge-Density Waves below the Threshold for Sliding,”

Physical Review Letters**66**, 92 (1991).

A. Alan Middleton and Daniel S. Fisher.

**Avalanches, modelocking, and automata**

- “Irrational mode locking in quasiperiodic systems”,

Creighton K. Thomas, A. Alan Middleton,

Physical Review Letters**98**, 148001 (2007).

Please see publication (or local pdf copy or local ps copy) for final version;

preprint archived as cond-mat/0607211. - “Statistics of static avalanches in a random pinning landscape”,

Pierre Le Doussal, A. Alan Middleton, Kay Joerg Wiese,

Physical Review E**79**, 050101 (2009).

Please see publication (10.1103/PhysRevE.79.050101)

(or local pdf copy) for final version.

Preprint archived as cond-mat/0803.1142. - “Driven depinning of strongly disordered media and anisotropic mean-field limits”,

M. Cristina Marchetti, A. Alan Middleton, Karl Saunders, J. M. Schwarz.

Physical Review Letters**91**, 107002 (2003).

Please see publication (or local pdf copy or local gzipped ps copy) for final version;

preprint archived as cond-mat/0302275. - “Self-Organized criticality in non-conserved systems”,

Physical Review Letters**74**, 742 (1995).

A. Alan Middleton and Chao Tang.

Please see publication for final version;

preprint archived as cond-mat/9407082. - “Complete Mode-locking in Models of Charge-density Waves,”

Physical Review Letters**68**, 1586 (1992).

A. Alan Middleton, Ofer Biham, Peter B. Littlewood, and Paolo Sibani.

**Others**

- Work led by Ethan Stanifer on vibrational modes in linear and cross-connected networks:

“Simple random matrix model for the vibrational spectrum of structural glasses,”

Physical Review E 98, 042908 (2018). (local pdf copy, arxiv.org/abs/1804.04074)

E. Stanifer, P. K. Morse, A. A. Middleton, and M. L. Manning. - This paper is my favorite uncited paper. There may be applications of these hydrodynamic equations to chains of ferro(electr)(magnet)ic particles or vortex lines:

“Dynamics of Directed Polymers with Cutting Interactions,”

Physical Review A**45**, 7288 (1992).

Sergei E. Esipov and A. Alan Middleton. - An application of Monte Carlo algorithms to connect experimental parameters:

“Discrete Scatterers and Autocorrelations of Multiply Scattered Light,”

Physical Review B**43**, 5934 (1991).

A. Alan Middleton and Daniel S. Fisher. - A summer spent on nuclear physics in the basement of Jadwin hall:

“^{11}B(a,p)^{14}C^{*}(E_{x}= 23.288 MeV) reaction and (p,\pi^{+}) production mechanisms,”

Physical Review C**38**, 1958 (1988).

L. K. Herold, K. E. Luther, A. A. Middleton, M. L. Pitt, and J. D. Brown. - Lattice gauge theory (programming from California to Edinburgh over a 300 baud modem):

“The Deconfining Transition for Finite-temperature U(1) Lattice Gauge Theory in (2+1) Dimensions,”

Physics Letters**B175**, 64 (1986).

P. Coddington, A. Hey, A. A. Middleton, and J. Townsend.