🔸 Don't miss out on Oxford 1+3 MSc+PhD programme in SOCIAL DATA SCIENCE:
https://www.oii.ox.ac.uk/study/msc-in-social-data-science/
https://www.oii.ox.ac.uk/study/msc-in-social-data-science/
♦️ This old Steven Strogatz article on conditional probability is a must read:
🔗 https://opinionator.blogs.nytimes.com/2010/04/25/chances-are/
🔗 https://opinionator.blogs.nytimes.com/2010/04/25/chances-are/
NY Times
Chances Are
The improbable thrills of probability theory.
🔸From member Carmine Bianchi: I’m glad to share info on a call for #applications concerning the forthcoming selection for the Doctoral Program in “Model Based Public Planning, Policy Design & Management” which I coordinate.
The program is focused on applying Dynamic Performance Management through an Outcome-based perspective.
The program is taught in English.
👉 Deadline to apply is: August 21st.
Detailed info on the program can be found at:
🔗 http://ced4.com/education/ph-d-program/
The program is focused on applying Dynamic Performance Management through an Outcome-based perspective.
The program is taught in English.
👉 Deadline to apply is: August 21st.
Detailed info on the program can be found at:
🔗 http://ced4.com/education/ph-d-program/
CED 4
Ph.D. Program
The Doctoral program in “System Dynamics” consists of: 1) PhD in Model Based Public Planning, Policy Design and Management (this curriculum is run in English). 2) PhD in Dinamica de…
🔹 Take chemistry, add energy, get life. The first tests of Jeremy England’s provocative origin-of-life hypothesis are in, and they appear to show how order can arise from nothing.
🔸 "As long as you can harvest energy from your environment, order will spontaneously arise and self-tune"
https://www.quantamagazine.org/first-support-for-a-physics-theory-of-life-20170726/
🔸 "As long as you can harvest energy from your environment, order will spontaneously arise and self-tune"
https://www.quantamagazine.org/first-support-for-a-physics-theory-of-life-20170726/
Quanta Magazine
First Support for a Physics Theory of Life
Take chemistry, add energy, get life. The first tests of Jeremy England’s provocative origin-of-life hypothesis are in, and they appear to show how order can arise from nothing.
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What is social self-organisation?
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Highlights: Dr. Nassim Nicolas Taleb’s Introduction on Complexity Theory
🎯 Introduction to Statistical Mechanics
Peter Eastman
🔗 https://web.stanford.edu/~peastman/statmech/index.html
A very handy resource for Stat. Mech. from Standford University, freely distributed under the terms of the Creative Commons Attribution-NoDerivatives 4.0 International License. The source can be found at https://github.com/peastman/statmech.
Peter Eastman
🔗 https://web.stanford.edu/~peastman/statmech/index.html
A very handy resource for Stat. Mech. from Standford University, freely distributed under the terms of the Creative Commons Attribution-NoDerivatives 4.0 International License. The source can be found at https://github.com/peastman/statmech.
GitHub
GitHub - peastman/statmech
Contribute to peastman/statmech development by creating an account on GitHub.
tobochnik2008.pdf
523.2 KB
💻 Teaching Statistical Physics by Thinking about Models and Algorithms
Jan Tobochnik and Harvey Gould (2008)
Jan Tobochnik and Harvey Gould (2008)
maris1978.pdf
456.7 KB
📓 Teaching the renormalization group
Humphrey J. Maris and Leo P. KadanoffView Affiliations
American Journal of Physics 46, 652 (1978)
Humphrey J. Maris and Leo P. KadanoffView Affiliations
American Journal of Physics 46, 652 (1978)
Complex Systems Studies
maris1978.pdf
💡 The renormalization group theory of second‐order phase transitions is described in a form suitable for presentation as part of an undergraduate statistical physics course.
💻 A comprehensive simulation on the #Ising_Model by Asher Preska Steinberg, Michael Kosowsky, and Seth Fraden, Physics Department, Brandeis University
🔑 The goal of this experiment was to create #Monte_Carlo simulations of the 1D and 2D #Ising model.
To accomplish this the #Metropolis algorithm was implemented in #MATLAB. The dependence of #magnetization on #temperature with and without an external field was calculated, as well as the dependence of the #energy, #specific_heat, and #magnetic_susceptibility on temperature. The results of the 2D simulation were compared to the #Onsager solution.
🔗 http://fraden.brandeis.edu/courses/phys39/simulations/AsherIsingModelReport.pdf
🔑 The goal of this experiment was to create #Monte_Carlo simulations of the 1D and 2D #Ising model.
To accomplish this the #Metropolis algorithm was implemented in #MATLAB. The dependence of #magnetization on #temperature with and without an external field was calculated, as well as the dependence of the #energy, #specific_heat, and #magnetic_susceptibility on temperature. The results of the 2D simulation were compared to the #Onsager solution.
🔗 http://fraden.brandeis.edu/courses/phys39/simulations/AsherIsingModelReport.pdf
🗞 Hyperbolic Geometry of Kuramoto Oscillator Networks
Bolun Chen, Jan R. Engelbrecht, Renato Mirollo
🔗 https://arxiv.org/pdf/1707.00713
📌 ABSTRACT
Kuramoto oscillator networks have the special property that their trajectories are constrained to lie on the (at most) 3D orbits of the M\"obius group acting on the state space TN(the N-fold torus). This result has been used to explain the existence of the N−3 constants of motion discovered by Watanabe and Strogatz for Kuramoto oscillator networks. In this work we investigate geometric consequences of this M\"obius group action. The dynamics of Kuramoto phase models can be further reduced to 2D reduced group orbits, which have a natural geometry equivalent to the unit disk Δ with the hyperbolic metric. We show that in this metric the original Kuramoto phase model (with order parameter Z1 equal to the centroid of the oscillator configuration of points on the unit circle) is a gradient flow and the model with order parameter iZ1(corresponding to cosine phase coupling) is a completely integrable Hamiltonian flow. We give necessary and sufficient conditions for general Kuramoto phase models to be gradient or Hamiltonian flows in this metric. This allows us to identify several new infinite families of hyperbolic gradient or Hamiltonian Kuramoto oscillator networks which therefore have simple dynamics with respect to this geometry. We prove that for the Z1 model, a generic 2D reduced group orbit has a unique fixed point corresponding to the hyperbolic barycenter of the oscillator configuration, and therefore the dynamics are equivalent on different generic reduced group orbits. This is not always the case for more general hyperbolic gradient or Hamiltonian flows; the reduced group orbits may have multiple fixed points, which also may bifurcate as the reduced group orbits vary.
Bolun Chen, Jan R. Engelbrecht, Renato Mirollo
🔗 https://arxiv.org/pdf/1707.00713
📌 ABSTRACT
Kuramoto oscillator networks have the special property that their trajectories are constrained to lie on the (at most) 3D orbits of the M\"obius group acting on the state space TN(the N-fold torus). This result has been used to explain the existence of the N−3 constants of motion discovered by Watanabe and Strogatz for Kuramoto oscillator networks. In this work we investigate geometric consequences of this M\"obius group action. The dynamics of Kuramoto phase models can be further reduced to 2D reduced group orbits, which have a natural geometry equivalent to the unit disk Δ with the hyperbolic metric. We show that in this metric the original Kuramoto phase model (with order parameter Z1 equal to the centroid of the oscillator configuration of points on the unit circle) is a gradient flow and the model with order parameter iZ1(corresponding to cosine phase coupling) is a completely integrable Hamiltonian flow. We give necessary and sufficient conditions for general Kuramoto phase models to be gradient or Hamiltonian flows in this metric. This allows us to identify several new infinite families of hyperbolic gradient or Hamiltonian Kuramoto oscillator networks which therefore have simple dynamics with respect to this geometry. We prove that for the Z1 model, a generic 2D reduced group orbit has a unique fixed point corresponding to the hyperbolic barycenter of the oscillator configuration, and therefore the dynamics are equivalent on different generic reduced group orbits. This is not always the case for more general hyperbolic gradient or Hamiltonian flows; the reduced group orbits may have multiple fixed points, which also may bifurcate as the reduced group orbits vary.
💥 #کارسوق «پیچیدگی های طبیعت»
شرکت برای همه آزاد است. اطلاعات بیشتر و ثبت نام:
http://heliofizx.ir/workshops/complexities-of-nature/
پشتیبانی :
@Heliosupport1
@Heliosupport2
@Helliphysicsclub
شرکت برای همه آزاد است. اطلاعات بیشتر و ثبت نام:
http://heliofizx.ir/workshops/complexities-of-nature/
پشتیبانی :
@Heliosupport1
@Heliosupport2
@Helliphysicsclub
Forwarded from انجمن فیزیک ایران (akram mirhosseini)
دهمین کنفرانس فیزیک آماری (ماده چگال نرم و سیستمهای پیچیده) - 5 و 6 اردیبهشت ماه 1397
www.psi.ir
کانال اطلاع رسانی انجمن فیزیک ایران
psinews@
www.psi.ir
کانال اطلاع رسانی انجمن فیزیک ایران
psinews@