SKU: 23948880777

Complexity & Criticality (V1)

Sale price$111.18 Regular price$123.53
Save 10%

Pay in installments of $30.88 with ShopPay, AfterPay and Klarna

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Aug 15 - Aug 20

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

Description

Complexity & Criticality (V1)This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book. Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part

This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book.Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation, a simple model with a purely geometrical phase transition, thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced, which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions is developed so that the underlying theoretical formalism may be appreciated fully. These equilibrium systems undergo a phase transition only if an external agent finely tunes certain external parameters to particular values.Besides fractals and phase transitions, there are many examples in Nature of the emergence of such complex behaviour in slowly driven non-equilibrium systems: earthquakes in seismic systems, avalanches in granular media and rainfall in the atmosphere. A class of non-equilibrium systems, not constrained by having to tune external parameters to obtain critical behaviour, is addressed in the framework of simple models, revealing that the repeated application of simple rules may spontaneously give rise to emergent complex behaviour not encoded in the rules themselves. The common basis of complexity and criticality is identified and applied to a range of non-equilibrium systems. Finally, the reader is invited to speculate whether self-organisation in non-equilibrium systems might be a unifying concept for disparate fields such as statistical mechanics, geophysics and atmospheric physics.Visit for animations for the models in the book (available for Windows and Linux), solutions to exercises, as well as a list with corrections.
Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 23948880777

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.9 ★★★★★
Based on 8 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
E
Verified Purchase
Elaine
Bozeman, US
★★★★★ 5
Excelente para controlar el eczema
Compré este jabón porque mi esposo padece de eczema en el rostro y sinceramente ha sido un antes y un después para su piel. Mientras lo usa constantemente, su piel se mantiene mucho más sana, calmada y con menos brotes. Lo único que notamos es que no puede usarlo en zonas donde la piel está normal, porque tiende a resecar bastante. Funciona mejor aplicado solo en las áreas afectadas. También vimos que si deja de usarlo por más de una semana, el eczema vuelve a aparecer, así que en su caso necesita usarlo con frecuencia para mantener la piel controlada. Aun así, ha sido de los productos que más diferencia real le ha hecho.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 14, 2026
N
Verified Purchase
Nicole
Grantham, US
★★★★★ 1
Will Flare up your eczema. .
I should have known better than to use it... I was looking up fragrance free soap. This soap made me Flare up within 5 minutes of getting out of the shower
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on December 2, 2025
T
Verified Purchase
TS
Fort Morgan, US
★★★★★ 2
Very strong perfumed scent
I wanted to love this soap as it sounds like it has a lot of skin loving ingredients, however when I opened the packaging I was immediately disappointed that there was a strong perfumed scent in the soap. I have extremely sensitive skin that flares up easily if I use scented products so unfortunately I didn’t try this soap because of the smell. I took off 3 stars due to the strong smell. If you like perfumed soaps this most likely won’t be an issue. It’s a decent sized bar so that’s definitely a positive note but because of the scent I was afraid to try it. If they make an unscented version of this soap I may give it a try as this one was a no go for me.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 20, 2026
M
Verified Purchase
Michelle K
Waukegan, US
★★★★★ 5
Gentle soap, great for hands and body!
I love how gentle this oatmeal soap is. It’s perfect for sensitive skin and doesn’t irritate my hands even when they are rough. I keep one at my sink and one in the shower. The natural scent is lovely and not overpowering. A must-buy for those looking for a mild cleanser!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 3, 2026
S
Verified Purchase
seekro
Draper, US
★★★★★ 5
Itchy, red skin BE GONE!
My 94 year old father has recently had a terrible resurfacing of his psoriasis with red, itchy, flaky sores all over his body! It's been so bad that he can't even sleep at night. My heart has been aching for him BUT he is finally getting some relief from this amazing soap!! I just saw him yesterday and, compared to two weeks ago, the redness and itching has lessened considerably. Plus, he loves the way it smells! What a true JOY to know he is on the mend, in part because of this product. I am about to purchase another bar for my sister who suffers the with the same issue. THANK YOU fo making a product that actually does what it claims to do!!!!!!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on December 26, 2025

recommand products