*(Caltech)*

An introductory course in statistical mechanics.

Recommended textbook *Thermal Physics* by Charles Kittel and Herbert Kroemer

There’s also a corresponding video lecture series available on YouTube

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# Tag: physics

## 🔖 Statistical Mechanics, Spring 2016 (Caltech, Physics 12c with videos) by John Preskill

Statistical Mechanics, Spring 2016 (Physics 12c) by *(Caltech)*

## 👓 Exoplanet Puzzle Cracked by Jazz Musicians | Quanta Magazine

Exoplanet Puzzle Cracked by Jazz Musicians by *(Quanta Magazine)*

## 👓 The Quantum Thermodynamics Revolution | Quanta Magazine

The Quantum Thermodynamics Revolution by *(Quanta Magazine)*
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## 🔖 From Matter to Life: Information and Causality by Sara Imari Walker, Paul C. W. Davies, George F. R. Ellis

From Matter to Life: Information and Causality by by *(Cambridge University Press)*
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## 👓 Physicists Uncover Geometric ‘Theory Space’ | Quanta Magazine

Physicists Uncover Geometric ‘Theory Space’ by *(Quanta Magazine)*

## IPAM Workshop on Regulatory and Epigenetic Stochasticity in Development and Disease, March 1-3

IPAM Workshop on Regulatory and Epigenetic Stochasticity in Development and Disease *(Institute for Pure and Applied Mathematics, UCLA | March 1-3, 2017)*

## 🔖 IPAM Workshop on Gauge Theory and Categorification, March 6-10

IPAM Workshop on Gauge Theory and Categorification *(Institute of Pure and Applied Mathematics at UCLA - March 6-10, 2017)*

## 🔖 Statistical Physics of Adaptation

Statistical Physics of Adaptation by *(journals.aps.org Phys. Rev. X 6, 021036 (2016))*
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## 🔖 Why Boltzmann Brains Are Bad by Sean M. Carroll

Why Boltzmann Brains Are Bad by *(arxiv.org)*
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## 🔖 How Life (and Death) Spring From Disorder | Quanta Magazine

How Life (and Death) Spring From Disorder by *(Quanta Magazine)*
### References

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## 🔖 A de Bruijn identity for discrete random variables by Oliver Johnson, Saikat Guha

A de Bruijn identity for discrete random variables by *(arxiv.org)*
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## 🔖 Information theory, predictability, and the emergence of complex life

Information theory, predictability, and the emergence of complex life by *(arxiv.org)*
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## 🔖 Emerging Frontiers of Neuroengineering: A Network Science of Brain Connectivity

Emerging Frontiers of Neuroengineering: A Network Science of Brain Connectivity by *(arxiv.org)*
### References

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## 🔖 A Physical Basis for the Second Law of Thermodynamics: Quantum Nonunitarity

A Physical Basis for the Second Law of Thermodynamics: Quantum Nonunitarity by *(arxiv.org)*
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## 🔖 100 years after Smoluchowski: stochastic processes in cell biology

100 years after Smoluchowski: stochastic processes in cell biology by *(arxiv.org)*
### References

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Musings of a Modern Day Cyberneticist

An introductory course in statistical mechanics.

Recommended textbook *Thermal Physics* by Charles Kittel and Herbert Kroemer

There’s also a corresponding video lecture series available on YouTube

Syndicated copies to:

A system of seven Earth-like exoplanets appeared to be unstable. Now their orbits have been rewritten in the music of the spheres.

I’m not sure there’s necessarily a correlation between the physics and the music other than that it’s a relationship. Perhaps there’s some interesting example one could drag out for category theory perhaps?

Syndicated copies to:As physicists extend the 19th-century laws of thermodynamics to the quantum realm, they’re rewriting the relationships among energy, entropy and information.

Recent advances suggest that the concept of information might hold the key to unravelling the mystery of life's nature and origin. Fresh insights from a broad and authoritative range of articulate and respected experts focus on the transition from matter to life, and hence reconcile the deep conceptual schism between the way we describe physical and biological systems. A unique cross-disciplinary perspective, drawing on expertise from philosophy, biology, chemistry, physics, and cognitive and social sciences, provides a new way to look at the deepest questions of our existence. This book addresses the role of information in life, and how it can make a difference to what we know about the world. Students, researchers, and all those interested in what life is and how it began will gain insights into the nature of life and its origins that touch on nearly every domain of science. Hardcover: 514 pages; ISBN-10: 1107150531; ISBN-13: 978-1107150539;

A decades-old method called the “bootstrap” is enabling new discoveries about the geometry underlying all quantum theories.

In the 1960s, the charismatic physicist Geoffrey Chew espoused a radical vision of the universe, and with it, a new way of doing physics. Theorists of the era were struggling to find order in an unruly zoo of newfound particles. They wanted to know which ones were the fundamental building blocks of nature and which were composites. But Chew, a professor at the University of California, Berkeley, argued against such a distinction. “Nature is as it is because this is the only possible nature consistent with itself,” he wrote at the time. He believed he could deduce nature’s laws solely from the demand that they be self-consistent. Continue reading “👓 Physicists Uncover Geometric ‘Theory Space’ | Quanta Magazine”

Syndicated copies to:Epigenetics refers to information transmitted during cell division other than the DNA sequence per se, and it is the language that distinguishes stem cells from somatic cells, one organ from another, and even identical twins from each other. In contrast to the DNA sequence, the epigenome is relatively susceptible to modification by the environment as well as stochastic perturbations over time, adding to phenotypic diversity in the population. Despite its strong ties to the environment, epigenetics has never been well reconciled to evolutionary thinking, and in fact there is now strong evidence against the transmission of so-called “epi-alleles,” i.e. epigenetic modifications that pass through the germline.

However, genetic variants that regulate stochastic fluctuation of gene expression and phenotypes in the offspring appear to be transmitted as an epigenetic or even Lamarckian trait. Furthermore, even the normal process of cellular differentiation from a single cell to a complex organism is not understood well from a mathematical point of view. There is increasingly strong evidence that stem cells are highly heterogeneous and in fact stochasticity is necessary for pluripotency. This process appears to be tightly regulated through the epigenome in development. Moreover, in these biological contexts, “stochasticity” is hardly synonymous with “noise”, which often refers to variation which obscures a “true signal” (e.g., measurement error) or which is structural, as in physics (e.g., quantum noise). In contrast, “stochastic regulation” refers to purposeful, programmed variation; the fluctuations are random but there is no true signal to mask.

This workshop will serve as a forum for scientists and engineers with an interest in computational biology to explore the role of stochasticity in regulation, development and evolution, and its epigenetic basis. Just as thinking about stochasticity was transformative in physics and in some areas of biology, it promises to fundamentally transform modern genetics and help to explain phase transitions such as differentiation and cancer.

This workshop will include a poster session; a request for poster titles will be sent to registered participants in advance of the workshop.

Speaker List:

Adam Arkin (Lawrence Berkeley Laboratory)

Gábor Balázsi (SUNY Stony Brook)

Domitilla Del Vecchio (Massachusetts Institute of Technology)

Michael Elowitz (California Institute of Technology)

Andrew Feinberg (Johns Hopkins University)

Don Geman (Johns Hopkins University)

Anita Göndör (Karolinska Institutet)

John Goutsias (Johns Hopkins University)

Garrett Jenkinson (Johns Hopkins University)

Andre Levchenko (Yale University)

Olgica Milenkovic (University of Illinois)

Johan Paulsson (Harvard University)

Leor Weinberger (University of California, San Francisco (UCSF))

The equations of gauge theory lie at the heart of our understanding of particle physics. The Standard Model, which describes the electromagnetic, weak, and strong forces, is based on the Yang-Mills equations. Starting with the work of Donaldson in the 1980s, gauge theory has also been successfully applied in other areas of pure mathematics, such as low dimensional topology, symplectic geometry, and algebraic geometry.

More recently, Witten proposed a gauge-theoretic interpretation of Khovanov homology, a knot invariant whose origins lie in representation theory. Khovanov homology is a “categorification” of the celebrated Jones polynomial, in the sense that its Euler characteristic recovers this polynomial. At the moment, Khovanov homology is only defined for knots in the three-sphere, but Witten’s proposal holds the promise of generalizations to other three-manifolds, and perhaps of producing new invariants of four-manifolds.

This workshop will bring together researchers from several different fields (theoretical physics, mathematical gauge theory, topology, analysis / PDE, representation theory, symplectic geometry, and algebraic geometry), and thus help facilitate connections between these areas. The common focus will be to understand Khovanov homology and related invariants through the lens of gauge theory.

This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.

Edward Witten will be giving two public lectures as part of the Green Family Lecture series:

March 6, 2017

*From Gauge Theory to Khovanov Homology Via Floer Theory*

The goal of the lecture is to describe a gauge theory approach to Khovanov homology of knots, in particular, to motivate the relevant gauge theory equations in a way that does not require too much physics background. I will give a gauge theory perspective on the construction of singly-graded Khovanov homology by Abouzaid and Smith.

March 8, 2017

*An Introduction to the SYK Model*

The Sachdev-Ye model was originally a model of quantum spin liquids that was introduced in the mid-1990′s. In recent years, it has been reinterpreted by Kitaev as a model of quantum chaos and black holes. This lecture will be primarily a gentle introduction to the SYK model, though I will also describe a few more recent results.

Whether by virtue of being prepared in a slowly relaxing, high-free energy initial condition, or because they are constantly dissipating energy absorbed from a strong external drive, many systems subject to thermal fluctuations are not expected to behave in the way they would at thermal equilibrium. Rather, the probability of finding such a system in a given microscopic arrangement may deviate strongly from the Boltzmann distribution, raising the question of whether thermodynamics still has anything to tell us about which arrangements are the most likely to be observed. In this work, we build on past results governing nonequilibrium thermodynamics and define a generalized Helmholtz free energy that exactly delineates the various factors that quantitatively contribute to the relative probabilities of different outcomes in far-from-equilibrium stochastic dynamics. By applying this expression to the analysis of two examples—namely, a particle hopping in an oscillating energy landscape and a population composed of two types of exponentially growing self-replicators—we illustrate a simple relationship between outcome-likelihood and dissipative history. In closing, we discuss the possible relevance of such a thermodynamic principle for our understanding of self-organization in complex systems, paying particular attention to a possible analogy to the way evolutionary adaptations emerge in living things.

Some modern cosmological models predict the appearance of Boltzmann Brains: observers who randomly fluctuate out of a thermal bath rather than naturally evolving from a low-entropy Big Bang. A theory in which most observers are of the Boltzmann Brain type is generally thought to be unacceptable, although opinions differ. I argue that such theories are indeed unacceptable: the real problem is with fluctuations into observers who are locally identical to ordinary observers, and their existence cannot be swept under the rug by a choice of probability distributions over observers. The issue is not that the existence of such observers is ruled out by data, but that the theories that predict them are cognitively unstable: they cannot simultaneously be true and justifiably believed.

Life was long thought to obey its own set of rules. But as simple systems show signs of lifelike behavior, scientists are arguing about whether this apparent complexity is all a consequence of thermodynamics.

This is a nice little general interest article by Philip Ball that does a relatively good job of covering several of my favorite topics (information theory, biology, complexity) for the layperson. While it stays relatively basic, it links to a handful of really great references, many of which I’ve already read, though several appear to be new to me. [1][2][3][4][5][6][7][8][9][10]

While Ball has a broad area of interests and coverage in his work, he’s certainly one of the best journalists working in this subarea of interests today. I highly recommend his work to those who find this area interesting.

[1]

E. Mayr, *What Makes Biology Unique?* Cambridge University Press, 2004.

[2]

A. Wissner-Gross and C. Freer, “Causal entropic forces.,” *Phys Rev Lett*, vol. 110, no. 16, p. 168702, Apr. 2013. [PubMed]

[3]

A. Barato and U. Seifert, “Thermodynamic uncertainty relation for biomolecular processes.,” *Phys Rev Lett*, vol. 114, no. 15, p. 158101, Apr. 2015. [PubMed]

[4]

J. Shay and W. Wright, “Hayflick, his limit, and cellular ageing.,” *Nat Rev Mol Cell Biol*, vol. 1, no. 1, pp. 72–6, Oct. 2000. [PubMed]

[5]

X. Dong, B. Milholland, and J. Vijg, “Evidence for a limit to human lifespan,” *Nature*, vol. 538, no. 7624. Springer Nature, pp. 257–259, 05-Oct-2016 [Online]. Available: http://dx.doi.org/10.1038/nature19793

[6]

H. Morowitz and E. Smith, “Energy Flow and the Organization of Life,” *Santa Fe Institute*, 07-Aug-2006. [Online]. Available: http://samoa.santafe.edu/media/workingpapers/06-08-029.pdf. [Accessed: 03-Feb-2017]

[7]

R. Landauer, “Irreversibility and Heat Generation in the Computing Process,” *IBM Journal of Research and Development*, vol. 5, no. 3. IBM, pp. 183–191, Jul-1961 [Online]. Available: http://dx.doi.org/10.1147/rd.53.0183

[8]

C. Rovelli, “Meaning = Information + Evolution,” *arXiv*, Nov. 2006 [Online]. Available: https://arxiv.org/abs/1611.02420

[9]

N. Perunov, R. A. Marsland, and J. L. England, “Statistical Physics of Adaptation,” *Physical Review X*, vol. 6, no. 2. American Physical Society (APS), 16-Jun-2016 [Online]. Available: http://dx.doi.org/10.1103/PhysRevX.6.021036 [Source]

[10]

S. Still, D. A. Sivak, A. J. Bell, and G. E. Crooks, “Thermodynamics of Prediction,” *Physical Review Letters*, vol. 109, no. 12. American Physical Society (APS), 19-Sep-2012 [Online]. Available: http://dx.doi.org/10.1103/PhysRevLett.109.120604 [Source]

We discuss properties of the "beamsplitter addition" operation, which provides a non-standard scaled convolution of random variables supported on the non-negative integers. We give a simple expression for the action of beamsplitter addition using generating functions. We use this to give a self-contained and purely classical proof of a heat equation and de Bruijn identity, satisfied when one of the variables is geometric.

Abstract: Despite the obvious advantage of simple life forms capable of fast replication, different levels of cognitive complexity have been achieved by living systems in terms of their potential to cope with environmental uncertainty. Against the inevitable cost associated to detecting environmental cues and responding to them in adaptive ways, we conjecture that the potential for predicting the environment can overcome the expenses associated to maintaining costly, complex structures. We present a minimal formal model grounded in information theory and selection, in which successive generations of agents are mapped into transmitters and receivers of a coded message. Our agents are guessing machines and their capacity to deal with environments of different complexity defines the conditions to sustain more complex agents.

Neuroengineering is faced with unique challenges in repairing or replacing complex neural systems that are composed of many interacting parts. These interactions form intricate patterns over large spatiotemporal scales, and produce emergent behaviors that are difficult to predict from individual elements. Network science provides a particularly appropriate framework in which to study and intervene in such systems, by treating neural elements (cells, volumes) as nodes in a graph and neural interactions (synapses, white matter tracts) as edges in that graph. Here, we review the emerging discipline of network neuroscience, which uses and develops tools from graph theory to better understand and manipulate neural systems, from micro- to macroscales. We present examples of how human brain imaging data is being modeled with network analysis and underscore potential pitfalls. We then highlight current computational and theoretical frontiers, and emphasize their utility in informing diagnosis and monitoring, brain-machine interfaces, and brain stimulation. A flexible and rapidly evolving enterprise, network neuroscience provides a set of powerful approaches and fundamental insights critical to the neuroengineer's toolkit.

17 pages, 6 figures. Manuscript accepted to the journal *Annual Review of Biomedical Engineering [1]*

[1]

D. Bassett S., A. Khambhati N., and S. Grafton T., “Emerging Frontiers of Neuroengineering: A Network Science of Brain Connectivity,” *arXiv*, 23-Dec-2016. [Online]. Available: https://arxiv.org/abs/1612.08059. [Accessed: 03-Jan-2017]

It is argued that if the non-unitary measurement transition, as codified by Von Neumann, is a real physical process, then the "probability assumption" needed to derive the Second Law of Thermodynamics naturally enters at that point. The existence of a real, indeterministic physical process underlying the measurement transition would therefore provide an ontological basis for Boltzmann's Stosszahlansatz and thereby explain the unidirectional increase of entropy against a backdrop of otherwise time-reversible laws. It is noted that the Transactional Interpretation (TI) of quantum mechanics provides such a physical account of the non-unitary measurement transition, and TI is brought to bear in finding a physically complete, non-ad hoc grounding for the Second Law.

100 years after Smoluchowski introduces his approach to stochastic processes, they are now at the basis of mathematical and physical modeling in cellular biology: they are used for example to analyse and to extract features from large number (tens of thousands) of single molecular trajectories or to study the diffusive motion of molecules, proteins or receptors. Stochastic modeling is a new step in large data analysis that serves extracting cell biology concepts. We review here the Smoluchowski's approach to stochastic processes and provide several applications for coarse-graining diffusion, studying polymer models for understanding nuclear organization and finally, we discuss the stochastic jump dynamics of telomeres across cell division and stochastic gene regulation.

[1]

D. Holcman and Z. Schuss, “100 years after Smoluchowski: stochastic processes in cell biology,” *arXiv*, 26-Dec-2016. [Online]. Available: https://arxiv.org/abs/1612.08381. [Accessed: 03-Jan-2017]