Notebooks
http://bactra.org/notebooks
Cosma's NotebooksenStatistical Mechanics (and Condensed Matter)
http://bactra.org/notebooks/2003/04/01#stat-mech
<P>The first mathematical, natural science of <a
href="emergent-properties.html">emergent properties</a>. (I hedge this way,
because one could argue that <a href="economics.html">economics</a> and
evolutionary theory are both, also, concerned with emergent properties ---
efficient allocation, and <a href="adaptation.html">adaptation</a> and
speciation, respectively, and they preceeded statistical mechanics.) The heart
of the subject is figuring out what happens when vast numbers of particles
bounce around and into each other, all obeying the laws of mechanics (classical
or quantum as the case may be).
<P><em>Things I Want to Understand
Better:</em> <a href="phase-transitions.html">Phase transitions and critical
phenoma</a>; the renormalization
group; <a href="field-theory.html">field-theory</a>
methods; <a href="noneq-sm.html">what happens far from equilibrium</a> (more
specifically, are there action principles or the like that govern probability
distributions of trajectories, the way thermodynamic potentials govern
equilibrium configurations); "soft" condensed matter; biological applications;
amorphous materials and glasses; connections between spin glasses and biology
(e.g., <a
href="neural-nets.html">perceptrons</a>); <a
href="stat-mech-foundations.html">technical, conceptual and historical issues
in the foundations of statistical mechanics</a>.
<P>See also:
<a href="astrophysics.html">Astrophysics and Cosmology</a>;
<a href="atomism.html">Atomism</a>;
<a href="cellular-automata.html">Cellular Automata</a>;
<a href="chaos.html">Chaos and Non-Linear Dynamics</a>;
<a href="complexity.html">Complexity</a>;
<a href="dissipative-structures.html">Dissipative Structures</a>;
<a href="exponential-families.html">Exponential Families of Probability Measures</a>;
<a href="field-theory.html">Field Theory</a>;
<a href="large-deviations.html">Large Deviations</a>;
<a href="liquid-crystals.html">Liquid Crystals</a>;
<a href="monte-carlo.html">Monte Carlo</a>;
<a href="pattern-formation.html">Pattern Formation</a>;
<a href="prigogine.html">Ilya Prigogine</a>;
<a href="probability.html">Probability</a>;
<a href="random-fields.html">Random Fields</a>;
<a href="self-organization.html">Self-Organization</a>;
<a href="stochastic-processes.html">Stochastic Processes</a>;
<a href="tsallis.html">Tsallis Statistics</a>;
<a href="turbulence.html">Turbulence</a>
<P>Recommended:
<P><rant> If a non-scientist wants to learn about some large and
important part of science, say planetary astronomy or genetics, there are
usually a handful of reliable, uncontroversial, well-written, non-technical
books about it to be found in the stores and libraries, which will convey at
least something of the field's history, problems, results and methods. By this
point there must be dozens of good popular books written on evolution, particle
physics, cosmology, relativity and quantum mechanics, notwithstanding that the
last two are about as abstract and abstruse as science gets. There are even
excellent popularizations of mathematics, in a continuous tradition from
E. T. Bell (if not before). Writing popularizations is an accepted and even
encouraged activity for eminent scientists, and has been since Galileo's
<cite>Starry Messanger.</cite> --- Popularizations are also important in the
recruitment and education of scientists, but the only one I know of who's
written on this is John Maynard Smith, in <cite>Did Darwin Get It Right?</cite>
<P>A few months ago, when I was trying to explain some parts of my research to
my father, I realized I was assuming he knew what statistical mechanics was,
and something about how it worked, when in fact he did not. My first thought
was to pass on some popular work about statistical mechanics (it's only fair;
he did it to me constantly when I was younger). A great many thoughts later I
realized I could not think of a single one which didn't stake out some very
peculiar philosophical position, or did more than just blab about the second
law, never mind something as good as <cite>Einstein for Beginners</cite> or
<cite>The First Three Minutes</cite> or <cite>Does God Play Dice?</cite>
Granted that relativity and particles and chaos are sexy, and statistical
mechanics is not, it's peculiar that there's <em>nothing.</em> Stat. mech. is,
after all, one of the essential theories of current physics, actually used by
chemists and biologists and materials scientists, etc., the part of physics
most directly applicable to daily life (you could illustrate the core of it
with a coffee cup, and the whole with a kitchen), and bound up with deep
puzzles about why time goes the way it does. This cries out for a remedy.
<P>The undergraduate textbooks on statistical mechanics, like those on most
part of physics, are by and large vile. Kittel and Kroemer's <cite>Thermal
Physics</cite> is however decent; if you want a quick-and-dirty guide, and can
put up with bad typesetting, try M. G. Bowler's
<cite>Lectures on Statistical Mechanics</cite>. There is nothing analogous to
Griffiths's books on electromagnetism, quantum mechanics and particle physics,
and if he's got time on his hands...
<P>Chandler's <cite>Introduction to Modern Statistical Mechanics</cite> is
good, as is Landau and Lifshitz's <cite>Statistical Physics</cite>; the latter
is far more comprehensive, but the former is much newer, and easier to learn
from. Huang's <cite>Statistical Mechanics,</cite> one of the other standard
texts, is a pedagogic horror.
<P>Having finished this venting of spleen, we turn to the usual list.
</rant>
<ul>Recommended, less technical:
<li>Vinay Ambegaokar, <cite>Reasoning about Luck: Probability and Its
Uses in Physics</cite> [This is intended as a substitute for the usual sort of
physics-for-people-who-have-to-fill-a-distribution-requirement course, and I
think well enough of it that I'd be willing to teach it, while wild horses
couldn't get me to do the standard physics for poets, but it's not really what
I'm looking for.]
<li>David Ruelle, <cite>Chance and Chaos</cite> [Parts of this approach
what I was raving for above, but still doesn't quite hack it, since it doesn't
cover enough.]
<li>Hans Christian von Baeyer, <cite>Maxwell's Demon: Why Warmth
Disperses and Time Passes</cite> [Again, almost makes it]
</ul>
<ul>Recommended, more technical:
<li>Philip W. Anderson, <cite>Basic Notions of Condensed Matter
Physics</cite>
<li>Beck and Schlögl, <cite>Thermodynamics of Chaotic
Systems</cite> [See notice under <a href="chaos.html">non-linear dynamics</a>]
<li><a href="http://britneyspears.ac/lasers.htm">Britney Spears's Guide
to Semiconductor Physics</a>
<li>Chaikin and Lubensky, <cite>Principles of Condensed Matter</cite>
<li>Richard S. Ellis, <cite>Entropy, Large Deviations and
Statistical Mechanics</cite>
<li>K. H. Fischer and J. A. Hertz, <cite>Spin Glasses</cite>
<li>Dieter Forster, <cite>Hydrodynamic Fluctuations, Broken Symmetry,
and Correlation Functions</cite> [An excellent book which looks
<em>horrible.</em> Bless <a href="http://www.tug.org/">Donald Knuth</a> for
delivering us from type-writen equations!]
<li>D. H. E. Gross, "Microscopic statistical basis of classical
Thermodynamics of finite systems", <a
href="http://arxiv.org/abs/cond-mat/0505242">cond-mat/0505242</a>
<li>Meir Hemmo and Orly Shenker, "Quantum Decoherence and the Approach
to Equilibrium", <cite>Philosophy of Science</cite> <strong>70</strong> (2003):
330--358
<li>Chris Hillman, <a
href="http://www.math.washington.edu/~hillman/entropy.html">Entropy on the
World Wide Web</a>
<li>Mark Kac
<ul>
<li><cite>Probability in Physical Sciences and Related
Topics</cite>
<li>"Foundations of Kinetic Theory", <a href="http://projecteuclid.org/euclid.bsmsp/1200502194"><cite>Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability</cite>, Vol. 3 (Univ. of Calif. Press, 1956), 171--197</a>
</ul>
<li>Joel L. Lebowitz, "Statistical mechanics: A selective Review of Two
Central Issues", <cite>Reviews of Modern Physics</cite> <strong>71</strong>
(1999):
S346--S357, <a href="http://arxiv.org/abs/math-ph/0010018">math-ph/0010018</a>
[Abstract: "I give a highly selective overview of the way statistical mechanics
explains the microscopic origins of the time-asymmetric evolution of
macroscopic systems towards equilibrium and of first-order phase transitions in
equilibrium. These phenomena are emergent collective properties not discernible
in the behavior of individual atoms. They are given precise and elegant
mathematical formulations when the ratio between macroscopic and microscopic
scales becomes very large."]
<li>L. D. Landau and E. M. Lifshitz, <cite>Statistical Physics</cite>
[What I was raised on. To be completely honest, it's been about a decade since
I read it, and more since it was my constant companion, and I am a little
afraid to re-read it, the same way one is sometimes afraid to re-read favorite
novels from long ago, lest they have become worse in the meanwhile...]
<li>Andreas Maurer, "Thermodynamics and Concentration",
<citE>Bernoulli</cite> submitted (2011)
[Deriving <a href="concentration-of-measure.html">concentration-of-measure</a>
results from statistical-mechanical arguments; very nice.
<a href="http://www.andreas-maurer.eu/TermoConc.pdf">PDF preprint</a> via
Dr. Maurer]
<li>David Selmeczi, Simon F. Tolic-Norrelykke, Erik Schaeffer, Peter H.
Hagedorn, Stephan Mosler, Kirstine Berg-Sorensen, Niels B. Larsen and Henrik
Flyvbjerg, "Brownian Motion after Einstein: Some new applications and new
experiments", <a
href="http://arxiv.org/abs/physics/0603142">physics/0603142</a>
<li>James Sethna
<ul>
<li>"Order Parameters, Broken Symmetry, and Topology",
pp. 243--265 in Lynn Nadel and Daniel L. Stein (eds.), <cite>1991 Lectures in
Complex Systems</cite> [<a href="http://www.lassp.cornell.edu/sethna/OrderParameters/Intro.html">Online version</a>]
<li><cite>Statistical Mechanics: Entropy, Order
Parameters and Complexity</cite> [<a href="../weblog/algae-2009-10.html#sethna">Mini-review</a>; <a href="http://pages.physics.cornell.edu/sethna/StatMech/">free PDF</a>]
</ul>
<li>Geoffrey Sewell, <cite>Quantum Mechanics and Its Emergent
Macrophysics</cite>
<li>Hugo Touchette, "The Large Deviations Approach to Statistical
Mechanics", <a href="http://dx.doi.org/10.1016/j.physrep.2009.05.002"><cite>Physics Reports</cite> <strong>478</strong> (2009): 1--69</a>, <a href="http://arxiv.org/abs/0804.0327">arxiv:0804.0327</a>
<li>Julia Yeomans, <cite>The Statistical Mechanics of Phase
Transitions</cite>
<li>Richard Zallen, <cite>The Physics of Amorphous Solids</cite>
</ul>
<ul>Modesty forbids:
<li>CRS and Cristopher Moore, "What Is a Macrotate?" <a
href="http://arxiv.org/abs/cond-mat/0303625">cond-mat/0303625</a>
</ul>
<ul>To read, historical:
<li>Stephen Brush
<ul>
<li><cite>Statistical Physics and the Atomic Theory of
Matter</cite>
<li><cite>The Kind of Motion We Call Heat</cite>
</ul>
<li>M. E. Cates, "Soft Condensed Matter", <a
href="http://arxiv.org/abs/cond-mat/0411650">cond-mat/0411650</a>
<li>Hasok Chang, <cite><a href="https://doi.org/10.1093/0195171276.001.0001">Inventing Temperature:
Measurement and Scientific Progress</a></cite>
<li>Cyril Domb, <cite>The Critical Point: A Historical Introduction to
the Modern Theory of Critical Phenomena</cite>
<li>Albert Einstein, <cite>Investigations on the Theory of Brownian
Motion</cite>
<li>Martin Niss
<ul>
<li>"Brownian Motion as a Limit to Physical Measuring Processes: A Chapter in the History of Noise from the Physicists' Point of View",
<a href="https://doi.org/10.1162/POSC_a_00190"><cite>Perspectives on Science</cite> <strong>24</strong> (2016): 29--44</a>
<li>"History of the Lenz-Ising Model, 1920--1950: From
Ferromagnetic to Cooperative
Phenomena", <a href="http://dx.doi.org/10.1007/s00407-004-0088-3"><Cite>Archive
for History of Exact Sciences</cite> <strong>59</strong> (2005): 267--318</a>
["In the early 1920s, Lenz and Ising introduced the model in the field of
ferromagnetism. Based on an exact derivation, Ising concluded that it is
incapable of displaying ferromagnetic behavior, a result he erroneously
extended to three dimensions. In the next phase, Lenz and Ising's
contemporaries rejected the model as a representation of ferromagnetic
materials because of its conflict with the new quantum mechanics. In the third
phase, from the early 1930s to the early 1940s, the model was revived as a
model of cooperative phenomena. ... [I] focus on the development of the model
in its capacity as a <em>model</em>. ... though the Lenz-Ising model is not
fully realistic, it is more useful than more realistic models because of its
mathematical tractability... this point of view, important for the modern
conception of the model, is novel and that its emergence, while perhaps not a
consequence of its study, is coincident with the third phase of its
development." Those of us who work with grossly unrealistic but tractable
models of <a href="complexity.html">complex systems</a> should pay heed...]
</ul>
<li>Johanna Levelt Sengers, <cite>How Fluids Unmix: Discoveries by the
School of Van der Waals and Kamerlingh Onnes</cite> [<a
href="http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/16186.ctl">Blurb</a>]
<li>D. ter Haar, <cite><a href="https://press.princeton.edu/books/hardcover/9780691021416/master-of-modern-physics">The Scientific Contributions of
H. A. Kramers</a></cite>
</ul>
<ul>To read, teaching:
<li>Greg Anderson, <cite><a href="http://cambridge.org/9780521847728">Thermodynamics of Natural Systems</a></cite>
<li>Roger Balian
<li><cite>From Microphysics to Macrophysics: Methods and
Applications of Statistical Physics</cite>
<li>RB and Jean-Paul Blaizot, "Stars and Statistical Physics:
A Teaching Experience," <a
href="http://arxiv.org/abs/cond-mat/9909291">cond-mat/9909291</a> [I plan to
steal from this wholesale if I teach stat. mech.]
<li>Giovanni Gallavotti, "Equilibrium Statistical Mechanics", <a
href="http://arxiv.org/abs/cond-mat/0504790">cond-mat/0504790</a>
<li>Martin and Inge F. Goldstein, <cite>The Refrigerator and the
Universe</cite>
<li>Donald T. Haynie, <cite><a href="http://cambridge.org/9780521795494">Biological Thermodynamics</a></cite>
<li>Josef Honerkamp, <cite>Statistical Physics: An Advanced Approach
with Applications</cite>
<li>Charles Kittel, <cite>Elementary Statistical Physics</cite>
<li>Don S. Lemons, <cite>Mere Thermodynamics</cite>
<li>R. A. Minlos, <cite><a
href="http://www.ams.org/bookstore?fn=50&item=ULECT-19">Introduction to Mathematical Statistical
Physics</a></cite>
<li>Anastasios A. Tsonis, <cite><a href="http://cambridge.org/9780521696289">Introduction to Atmospheric
Thermodynamics</a></cite>
</ul>
<ul>To read, learning:
<li>Ambjorn, Durhuss and Jonsson, <cite>Quantum Geometry</cite>
[field-theory methods for Brownian motion and higher-dimensional random
surfaces]
<li>John C. Baez, Mike Stay, "Algorithmic Thermodynamics", <a href="http://arxiv.org/abs/1010.2067">arxiv:1010.2067</a>
<li>Franco Bagnoli and Raul Rechtman, "Thermodynamic
entropy and chaos in a discrete hydrodynamical
system", <a href="http://dx.doi.org/10.1103/PhysRevE.79.041115"><cite>Physical Review E</cite>
<strong>79</strong> (2009): 041115</a> ["thermodynamic entropy density is
proportional to the largest Lyapunov exponent of a discrete hydrodynamical
systems, a deterministic two-dimensional lattice gas automaton"]
<li>Francois Bardou et al., <cite>Levy Statistics and Laser Cooling:
How Rare Events Bring Atoms to Rest</cite>
<li>Jean-Louis Barrat and Jean-Pierre Hansen, <cite>Basic Concepts for Simple and Complex Liquids</cite>
<li>Robert W. Batterman, "The tyranny of scales", <a href="http://philsci-archive.pitt.edu/8678/">phil-sci/8678</a>
<li>Rodney J. Baxter, <cite><a href="http://store.doverpublications.com/0486462714.html">Exactly Solved Models in Statistical
Mechanics</a></cite>
<li>Golan Bel and Eli Barkai, "A Random Walk to a Non-Ergodic
Equilibrium Concept", <a
href="http://arxiv.org/abs/cond-mat/0506338">cond-mat/0506338</a> [I've only
read the abstract, but it puzzles me. I'd be very interested if we could have
a good notion of equilibrium which didn't depend on ergodicity, but in the
model they're consdering, they can evidently say things like "in the
non-ergodic phase the distribution of the occupation time of the particle on a
given lattice point, approaches U or W shaped distributions related to the
arcsin law", and I'm not sure how such limits are meaningful without some kind
of <a href="ergodic-theory.html">ergodic property</a>. But I should just read
the paper.]
<li>Anton Bovier, <cite><a href="http://cambridge.org/0521849918">Statistical Mechanics of Disordered
Systems</a></cite> [<a href="http://dx.doi.org/10.1007/s10955-008-9581-4">enthusiastic review</a>
in <cite>J. Stat. Phys.</cite>]
<li>Anton Bovier, Michael Eckhoff, Veronique Gayrard and Markus Klein,
"Metastability and Small Eigenvalues in Markov Chains," <a
href="http://arxiv.org/abs/cond-mat/0007343">cond-mat/0007343</a>
<li>Todd A. Brun and James B. Hartle, "Entropy of Classical
Histories," <cite>Physical Review E</cite> <strong>59</strong> (1999):
6370--6380
<li>Lapo Casetti, Marco Pettini, E. G. D. Cohen, "Geometric Approach
to Hamiltonian Dynamics and Statistical Mechanics," <a
href="http://arxiv.org/abs/cond-mat/9912092">cond-mat/9912092</a>
<li>Tommaso Castellani and Andrea Cavagna, "Spin-Glass Theory for
Pedestrians", <a
href="http://arxiv.org/abs/cond-mat/0505032">cond-mat/0505032</a>
<li>Sourav Chatterjee, "Chaos, concentration, and multiple valleys",
<a href="http://arxiv.org/abs/0810.4221">arxiv:0810.4221</a> ["Disordered systems are an important class of models in statistical mechanics, having the defining characteristic that the energy landscape is a fixed realization of a random field. Examples include various models of glasses and polymers. They also arise in other areas, like fitness models in evolutionary biology. The ground state of a disordered system is the state with minimum energy. The system is said to be chaotic if a small perturbation of the energy landscape causes a drastic shift of the ground state. We present a rigorous theory of chaos in disordered systems that confirms long-standing physics intuition about connections between chaos, anomalous fluctuations of the ground state energy, and the existence of multiple valleys in the energy landscape."]
<li>Amir Dembo and Andrea Montanari, "Gibbs Measures and Phase Transitions on Sparse Random Graphs", <a href="http://arxiv.org/abs/0910.5460">arxiv:0910.5460</a>
<li>Emilio De Santis and Carlo Marinelli, "Stochastic games with
infinitely many interacting agents", <a
href="http://arxiv.org/abs/math.PR/0505608">math.PR/0505608</a> [Sounds very
cool: "We introduce and study a class of infinite-horizon non-zero-sum
non-cooperative stochastic games with infinitely many interacting agents using
ideas of statistical mechanics. First we show, in the general case of
asymmetric interactions, the existence of a strategy that allows any player to
eliminate losses after a finite random time. In the special case of symmetric
interactions, we also prove that, as time goes to infinity, the game converges
to a Nash equilibrium. Moreover, assuming that all agents adopt the same
strategy, using arguments related to those leading to perfect simulation
algorithms, spatial mixing and ergodicity are proved. In turn, ergodicity
allows us to prove ``fixation'', i.e. that players will adopt a constant
strategy after a finite time. The resulting dynamics is related to
zero-temperature Glauber dynamics on random graphs of possibly infinite
volume."]
<li>Deepak Dhar, "Pico-canonical ensembles: A theoretical description
of metastable states," <a
href="http://arxiv.org/abs/cond-mat/0205011">cond-mat/0205011</a>
<li>Enrico Di Cera, <cite>Thermodynamic Theory of Site-Specific Binding
Processes in Biological Macromolecules</cite>
<li>Viktor Dotsenko, <cite>Introduction to the Replica Theory of Disordered Statistical Systems</cite>
<li>Sam F. Edwards and Moshe Schwartz
<ul>
<li>"Lagrangian Statistical Mechanics applied to Non-linear
Stochastic Field Equations," <a
href="http://arxiv.org/abs/cond-mat/0012044">cond-mat/0012044</a>
<li>"Statistical Mechanics in Collective Coordinates," <a
href="http://arxiv.org/abs/cond-mat/0204178">cond-mat/0204178</a>
</ul>
<li>David Ford and Steven Huntsman, "Descriptive Thermodynamics",
<a href="http://arxiv.org/abs/cond-mat/0510030">cond-mat/0510030</a>
<li>Surya Ganguli and Haim Sompolinsky, "Statistical Mechanics of
Compressed
Sensing", <a href="http://dx.doi.org/10.1103/PhysRevLett.104.188701"><cite>Physical
Review Letters</cite> <strong>104</strong> (2010): 188701</a>
<li>Cristian Giardina', Jorge Kurchan, Luca Peliti, "Direct evaluation
of large-deviation functions", <a
href="http://arxiv.org/abs/cond-mat/0511248">cond-mat/0511248</a> ["We
introduce a numerical procedure to evaluate directly the probabilities of large
deviations of physical quantities, such as current or density, that are local
in time. The large-deviation functions are given in terms of the typical
properties of a modified dynamics, and since they no longer involve rare
events, can be evaluated efficiently and over a wider ranges of values."]
<li>G. Gregoire and H. Chate, "Onset of collective and cohesive
motion", <a href="http://arxiv.org/abs/cond-mat/0401208">cond-mat/0401208</a>
<li>J. Woods Halley, <cite><a href="http://cambridge.org/9780521825757">Statistical Mechanics: From First Principles
to Macroscopic Phenomena</a></cite>
<li>Horsthemke, <cite>Noise-Induced Transitions: Theory and
Applications in Physics, Chemistry, and Biology </cite>
<li>Stephen Hyde, Sten Andersson, Kare Larsson, Zoltan Blum, Tomas
Landh, Sven Lidin and Barry Ninham, <cite>The Language of Shape: The Role of
Curvature in Condensed Matter --- Physics, Chemistry, and Biology</cite>
<li>Claude Itzykson and Jean-Michel Drouffe, <cite>Statistical Field
Theory</cite> (2 vols.)
<li>Henrik Jeldtoft Jensen, Elsa Arcaute, "Complexity, Collective
Effects and Modelling of Ecosystems: formation, function and
stability", <a href="http://arxiv.org/abs/0709.2015">arxiv:0709.2015</a> [" We
describe examples where combining statistical mechanics and ecology has led to
improved ecological modelling and, at the same time, broadened the scope of
statistical mechanics."]
<li>Richard A. L. Jones, <cite>Soft Condensed Matter</cite>
<li>Wouter Kager and Bernard Nienhuis, "A Guide to Stochastic Loewner
Evolution and Its Applications", <a
href="http://arxiv.org/abs/math-ph/0312056">math-ph/0312056</a>
<li>Daniel Korenblum and David Shalloway, "Macrostate Data Clustering",
<a href="http://dx.doi.org/10.1103/PhysRevE.67.056704"><cite>Physical Review E</cite> <strong>67</strong> (2003): 056704</a>
[This sounds a lot like spectral clustering and diffusion maps]
<li>Werner Krauth, <cite>Statistical Mechanics: Algorithms and
Computations</cite>
<li>Stephan Lawi, "A characterization of Markov processes enjoying the
time-inversion property", <a
href="http://arxiv.org/abs/math.PR/0506013">math.PR/0506013</a>
<li>Frederic Legoll and Tony Lelievre, "Some remarks on free energy and coarse-graining", <a href="http://arxiv.org/abs/1008.3792">arxiv:1008.3792</a>
<li>L. Leuzzi and T. M. Nieuwenhuizen, <cite>Thermodynamics of the
Glassy State</cite>
[<a href="http://www.springerlink.com/content/h76138262uq13655/">Favorable
review</a> in <cite>J. Stat. Phys.</cite>]
<li>Elliott H. Lieb, "Quantum Mechanics, the Stability of Matter and
Quantum Electrodynamics", <a
href="http://arxiv.org/abs/math-ph/0401004">math-ph/0401004</a>
<li>Elliott H. Lieb, Jakob Yngvason, "Entropy Meters and the Entropy of Non-extensive Systems", <a href="http://arxiv.org/abs/1403.0902">arxiv:1403.0902</a>
<li>Valerio Lucarini, "Response Theory for Equilibrium and
Non-Equilibrium Statistical Mechanics: Causality and Generalized Kramers-Kronig
relations", <cite>Journal of Statistical Physics</cite> <strong>131</strong>
(2008): 543--558, <a href="http://arxiv.org/abs/0710.0958">arxiv:0710.0958</a>
<li>D. Lynden-Bell and R. M. Lynden-Bell, "Relaxation to a Perpetually
Pulsating Equilibrium", <a
href="http://arxiv.org/abs/cond-mat/0401093">cond-mat/0401093</a>
= <cite>Journal of Statistical Physics</cite> <strong>117</strong> (2004):
199--209 [A profoundly weird-looking result]
<li>Gerald D. Mahan, <cite><a href="http://press.princeton.edu/titles/9374.html">Condensed Matter in a Nutshell</a></cite>
<li>Dörthe Malzahn and Manfred Opper, "A statistical physics approach for the analysis of machine learning algorithms on real data", <a href="http://dx.doi.org/10.1088/1742-5468/2005/11/P11001"><cite>Journal of Statistical Mechanics: Theory and Experiment</cite> (2005): P11001</a>
<li>Daniel C. Mattis and Robert H. Swendsen, <cite>Statistical
Mechanics Made Simple</cite> [On the principle of supporting local authors...]
<li>Michel Mitov, <cite><a href="http://www.hup.harvard.edu/catalog.php?isbn=9780674064560">Sensitive Matter:
Foams, Gels, Liquid Crystals, and Other Miracles</a></cite>
<li>David R. Nelson, <cite><a href="http://cambridge.org/9780521004008">Defects and Geometry in Condensed Matter
Physics</a></cite>
<li>J. Ortiz de Sarate and J. V. Sengers, <cite>Hydrodynamic
Fluctuations</cite> [<a href="http://dx.doi.org/10.1007/s10955-008-9485-3">Favorable review</a> in J. Stat. Phys.]
<li>Hans L. Pécseli, <cite>a href="http://cambridge.org/9780521655927">Fluctuations in Physical Systems</a></cite>
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</ul>