--- title: "Meaning & Key Takeaway of: In far from equilibrium conditions, the…" description: "\"In far from equilibrium conditions, the concept of probability that underlies Boltzmann's order principle is no longer valid if the structures we obser..." image: "https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png" --- # In far from equilibrium conditions, the concept of… ![“In far from equilibrium conditions, the concept of probability that underlies Boltzmann's order principle is no longer valid if the structures we observe do not correspond to a maximum of complexions” quote by Ilya Prigogine](https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png) [Download](https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png) [Open image](https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png) > “In far from equilibrium conditions, the concept of probability that underlies Boltzmann's order principle is no longer valid if the structures we observe do not correspond to a maximum of complexions” [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Traditional equilibrium probability fails for far‑from‑equilibrium systems where observed structures are not at maximal microstate counts. **In simple terms:** Probability concepts break down outside equilibrium. Key Takeaway Recognize limits of equilibrium assumptions. Themes thermodynamics complex systems entropy Mood analytical cautious Type theoretical scientific When to use this quote - chemical reactions - climate modeling - financial markets - biological development Key Concepts Non‑equilibrium self‑organization fluctuation theorems Questions to Reflect On - How do you identify when equilibrium assumptions fail? - What alternative frameworks can capture observed structures? A Different Perspective Equilibrium models may still offer useful approximations. ★ ★ ★ ★ ★ No ratings yet [Boltzmann](https://sms4smile.com/quotes/about/boltzmann-895837/) [Boltzmann Order](https://sms4smile.com/quotes/about/boltzmann-order-895835/) [Complexion](https://sms4smile.com/quotes/about/complexion/) [Concepts](https://sms4smile.com/quotes/about/concepts/) [Conditions](https://sms4smile.com/quotes/about/conditions/) [Equilibrium](https://sms4smile.com/quotes/about/equilibrium/) [Far Equilibrium](https://sms4smile.com/quotes/about/far-equilibrium-895838/) [Ifs](https://sms4smile.com/quotes/about/ifs/) [Maximum](https://sms4smile.com/quotes/about/maximum/) [Order](https://sms4smile.com/quotes/about/order/) [Order Principle](https://sms4smile.com/quotes/about/order-principle-895839/) [Principles](https://sms4smile.com/quotes/about/principles/) [Probability](https://sms4smile.com/quotes/about/probability/) [Structure](https://sms4smile.com/quotes/about/structure/) [Underlies Boltzmann](https://sms4smile.com/quotes/about/underlies-boltzmann-895836/) ## Related quotes > [It is a remarkable fact that the second law of thermodynamics has played in the history of science a fundamental role far beyond its…](https://sms4smile.com/quotes/ilya-prigogine/it-is-a-remarkable-fact-that-the-second-law-of-thermodynamics-has/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [“Science doesn’t yet know for certain why a universe ever managed to begin, or why it began so highly ordered, scientists just believe that…](https://sms4smile.com/quotes/gevin-giorbran/science-doesn-t-yet-know-for-certain-why-a-universe-ever-managed-to/) [Gevin Giorbran](https://sms4smile.com/quotes/author/gevin-giorbran/) > [If the cosmos isn't finite, then far, far away, floating duplicates of your brain - with all its experiences, thoughts, and emotions - are…](https://sms4smile.com/quotes/seth-shostak/if-the-cosmos-isn-t-finite-then-far-far-away-floating-duplicates-of/) [Seth Shostak](https://sms4smile.com/quotes/author/seth-shostak/) > [“It has been pointed out by Boltzmann that the fundamental object of contention in the life-struggle, in the evolution of the organic world, is…](https://sms4smile.com/quotes/nick-gogerty/it-has-been-pointed-out-by-boltzmann-that-the-fundamental-object-of/) [Nick Gogerty](https://sms4smile.com/quotes/author/nick-gogerty/) > [Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906 by his own hand. Paul Ehrenfest, carrying on the work,…](https://sms4smile.com/quotes/david-goodstein/ludwig-boltzmann-who-spent-much-of-his-life-studying-statistical/) [David Goodstein](https://sms4smile.com/quotes/author/david-goodstein/) > [“Boltzmann Brain Kristine Ong Muslim We hope you are out there, and you are reading this message. We are broadcasting from 78°14′09″N 15°29′29″E, the…](https://sms4smile.com/quotes/phoebe-wagner/boltzmann-brain-kristine-ong-muslim-we-hope-you-are-out-there-and-you/) [Phoebe Wagner](https://sms4smile.com/quotes/author/phoebe-wagner/) > [running is the right thing to do! I am free, healthy with a good complexion. It is that automobile addict who should be ashamed:…](https://sms4smile.com/quotes/brenda-ueland/running-is-the-right-thing-to-do-i-am-free-healthy-with-a-good/) [Brenda Ueland](https://sms4smile.com/quotes/author/brenda-ueland/) > [Great geniuses have the shortest biographies. Their cousins can tell you nothing about them. They lived in their writings, and sotheir house and street…](https://sms4smile.com/quotes/ralph-waldo-emerson/great-geniuses-have-the-shortest-biographies-their-cousins-can-tell/) [Ralph Waldo Emerson](https://sms4smile.com/quotes/author/ralph-waldo-emerson/) > [“Bunny Sue was nineteen. She had honey-bobbed hair and candid, near-insolent green eyes. She had a snub, delightful nose, a cool, regal, and tapering…](https://sms4smile.com/quotes/frederick-exley/bunny-sue-was-nineteen-she-had-honey-bobbed-hair-and-candid-near/) [Frederick Exley](https://sms4smile.com/quotes/author/frederick-exley/) > [My complexion is delicate, so I have to use things that won't irritate it. I switch moisturisers often.](https://sms4smile.com/quotes/gisele-bundchen/my-complexion-is-delicate-so-i-have-to-use-things-that-won-t-irritate/) [Gisele Bundchen](https://sms4smile.com/quotes/author/gisele-bundchen/) > [Courage, my boy! that is the complexion of virtue.](https://sms4smile.com/quotes/diogenes-laertius/courage-my-boy-that-is-the-complexion-of-virtue/) [Diogenes Laertius](https://sms4smile.com/quotes/author/diogenes-laertius/) > [But for real, for me, I feel like with the red lipstick thing it all depends on the pair of complexion. I'm just being…](https://sms4smile.com/quotes/asap-rocky/but-for-real-for-me-i-feel-like-with-the-red-lipstick-thing-it-all/) [ASAP Rocky](https://sms4smile.com/quotes/author/asap-rocky/) > [We often see discrimination on the basis of color and complexion in society.](https://sms4smile.com/quotes/binnu-dhillon/we-often-see-discrimination-on-the-basis-of-color-and-complexion-in/) [Binnu Dhillon](https://sms4smile.com/quotes/author/binnu-dhillon/) > [Nearly all the Gauls are of a lofty stature, white, and of ruddy complexion; terrible from the sternness of their eyes, very quarrelsome, and…](https://sms4smile.com/quotes/ammianus-marcellinus/nearly-all-the-gauls-are-of-a-lofty-stature-white-and-of-ruddy/) [Ammianus Marcellinus](https://sms4smile.com/quotes/author/ammianus-marcellinus/) > [White lies always introduce others of a darker complexion.](https://sms4smile.com/quotes/william-s-paley/white-lies-always-introduce-others-of-a-darker-complexion/) [William S. Paley](https://sms4smile.com/quotes/author/william-s-paley/) ## More by Ilya Prigogine > [The idea of spontaneous generation of life in its present form is therefore highly improbable even to the scale of the billions of years…](https://sms4smile.com/quotes/ilya-prigogine/the-idea-of-spontaneous-generation-of-life-in-its-present-form-is/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [“The understanding of complexity and the use of the creativity of nature, the continuation of the work of nature are the grand challenges for…](https://sms4smile.com/quotes/ilya-prigogine/the-understanding-of-complexity-and-the-use-of-the-creativity-of/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [Now we see evolutionary trends in a variety of areas ranging from atomic and molecular physics through fluid mechanics, chemistry and biology to large…](https://sms4smile.com/quotes/ilya-prigogine/now-we-see-evolutionary-trends-in-a-variety-of-areas-ranging-from/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [The future is uncertain... but this uncertainty is at the very heart of human creativity.](https://sms4smile.com/quotes/ilya-prigogine/the-future-is-uncertain-but-this-uncertainty-is-at-the-very-heart-of/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [The irreversibility of time is the mechanism that brings order out of chaos.](https://sms4smile.com/quotes/ilya-prigogine/the-irreversibility-of-time-is-the-mechanism-that-brings-order-out-of/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [“Order arise from chaos.”](https://sms4smile.com/quotes/ilya-prigogine/order-arise-from-chaos/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [The statistical probability that organic structures and the most precisely harmonized reactions that typify living organisms would be generated by accident, is zero.](https://sms4smile.com/quotes/ilya-prigogine/the-statistical-probability-that-organic-structures-and-the-most/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [The main character of any living system is openness.](https://sms4smile.com/quotes/ilya-prigogine/the-main-character-of-any-living-system-is-openness/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [We grow in direct proportion to the amount of chaos we can sustain and dissipate](https://sms4smile.com/quotes/ilya-prigogine/we-grow-in-direct-proportion-to-the-amount-of-chaos-we-can-sustain/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [Entropy is the price of structure.](https://sms4smile.com/quotes/ilya-prigogine/entropy-is-the-price-of-structure/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [The more we know about our universe, the more difficult it becomes to believe in determinism.](https://sms4smile.com/quotes/ilya-prigogine/the-more-we-know-about-our-universe-the-more-difficult-it-becomes-to/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [The world is richer than it is possible to express in any single language.](https://sms4smile.com/quotes/ilya-prigogine/the-world-is-richer-than-it-is-possible-to-express-in-any-single/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [It is a remarkable fact that the second law of thermodynamics has played in the history of science a fundamental role far beyond its…](https://sms4smile.com/quotes/ilya-prigogine/it-is-a-remarkable-fact-that-the-second-law-of-thermodynamics-has/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [“Only when a system behaves in a sufficiently random way may the difference between past and future, and therefore irreversibility, enter into its description...The…](https://sms4smile.com/quotes/ilya-prigogine/only-when-a-system-behaves-in-a-sufficiently-random-way-may-the/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) > [(1) irreversible processes are as real as reversible ones. (2) irreversible processes play a fundamental constructive role in the physical world. (3) irreversibility is…](https://sms4smile.com/quotes/ilya-prigogine/1-irreversible-processes-are-as-real-as-reversible-ones-2/) [Ilya Prigogine](https://sms4smile.com/quotes/author/ilya-prigogine/) [Explore all 17 Ilya Prigogine quotes ](https://sms4smile.com/quotes/author/ilya-prigogine/) ## More Complexion quotes > [White lies always introduce others of a darker complexion.](https://sms4smile.com/quotes/william-s-paley/white-lies-always-introduce-others-of-a-darker-complexion/) [William S. Paley](https://sms4smile.com/quotes/author/william-s-paley/) > [Nearly all the Gauls are of a lofty stature, white, and of ruddy complexion; terrible from the sternness of their eyes, very quarrelsome, and…](https://sms4smile.com/quotes/ammianus-marcellinus/nearly-all-the-gauls-are-of-a-lofty-stature-white-and-of-ruddy/) [Ammianus Marcellinus](https://sms4smile.com/quotes/author/ammianus-marcellinus/) > [We often see discrimination on the basis of color and complexion in society.](https://sms4smile.com/quotes/binnu-dhillon/we-often-see-discrimination-on-the-basis-of-color-and-complexion-in/) [Binnu Dhillon](https://sms4smile.com/quotes/author/binnu-dhillon/) > [But for real, for me, I feel like with the red lipstick thing it all depends on the pair of complexion. I'm just being…](https://sms4smile.com/quotes/asap-rocky/but-for-real-for-me-i-feel-like-with-the-red-lipstick-thing-it-all/) [ASAP Rocky](https://sms4smile.com/quotes/author/asap-rocky/) > [Courage, my boy! that is the complexion of virtue.](https://sms4smile.com/quotes/diogenes-laertius/courage-my-boy-that-is-the-complexion-of-virtue/) [Diogenes Laertius](https://sms4smile.com/quotes/author/diogenes-laertius/) > [My complexion is delicate, so I have to use things that won't irritate it. I switch moisturisers often.](https://sms4smile.com/quotes/gisele-bundchen/my-complexion-is-delicate-so-i-have-to-use-things-that-won-t-irritate/) [Gisele Bundchen](https://sms4smile.com/quotes/author/gisele-bundchen/) > [“Bunny Sue was nineteen. She had honey-bobbed hair and candid, near-insolent green eyes. She had a snub, delightful nose, a cool, regal, and tapering…](https://sms4smile.com/quotes/frederick-exley/bunny-sue-was-nineteen-she-had-honey-bobbed-hair-and-candid-near/) [Frederick Exley](https://sms4smile.com/quotes/author/frederick-exley/) > [Great geniuses have the shortest biographies. Their cousins can tell you nothing about them. They lived in their writings, and sotheir house and street…](https://sms4smile.com/quotes/ralph-waldo-emerson/great-geniuses-have-the-shortest-biographies-their-cousins-can-tell/) [Ralph Waldo Emerson](https://sms4smile.com/quotes/author/ralph-waldo-emerson/) > [running is the right thing to do! I am free, healthy with a good complexion. It is that automobile addict who should be ashamed:…](https://sms4smile.com/quotes/brenda-ueland/running-is-the-right-thing-to-do-i-am-free-healthy-with-a-good/) [Brenda Ueland](https://sms4smile.com/quotes/author/brenda-ueland/) > [The dragon-fly is dancing,— Is on the water glancing, She flits about with nimble wing, The flickering, fluttering, restless thing. Besotted chafers all admire…](https://sms4smile.com/quotes/heinrich-heine/the-dragon-fly-is-dancing-is-on-the-water-glancing-she-flits-about/) [Heinrich Heine](https://sms4smile.com/quotes/author/heinrich-heine/) > [His name is 'Mr. Spock.' And the first view of him can be almost frightening - a face so heavy-lidded and satanic you might…](https://sms4smile.com/quotes/gene-roddenberry/his-name-is-mr-spock-and-the-first-view-of-him-can-be-almost/) [Gene Roddenberry](https://sms4smile.com/quotes/author/gene-roddenberry/) > [Good humor, like the jaundice, makes every one of its own complexion.](https://sms4smile.com/quotes/elizabeth-inchbald/good-humor-like-the-jaundice-makes-every-one-of-its-own-complexion/) [Elizabeth Inchbald](https://sms4smile.com/quotes/author/elizabeth-inchbald/) > [I made the decision to turn pro, and I remember what Ali said to me: 'Get Angelo Dundee. He's the right complexion with the…](https://sms4smile.com/quotes/sugar-ray-leonard/i-made-the-decision-to-turn-pro-and-i-remember-what-ali-said-to-me/) [Sugar Ray Leonard](https://sms4smile.com/quotes/author/sugar-ray-leonard/) > [Getting the blood moving through your body does do wonders for your complexion.](https://sms4smile.com/quotes/john-cameron-mitchell/getting-the-blood-moving-through-your-body-does-do-wonders-for-your/) [John Cameron Mitchell](https://sms4smile.com/quotes/author/john-cameron-mitchell/) > [There is no beautifier of complexion, or form, or behavior, like the wish to scatter joy and not pain around us.](https://sms4smile.com/quotes/ralph-waldo-emerson/there-is-no-beautifier-of-complexion-or-form-or-behavior-like-the/) [Ralph Waldo Emerson](https://sms4smile.com/quotes/author/ralph-waldo-emerson/) [Browse all 140 Complexion quotes ](https://sms4smile.com/quotes/about/complexion/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "In far from equilibrium conditions, the concept of probability that underlies Boltzmann's order principle is no longer valid if the structures we observe do not correspond to a maximum of complexions", "creator": { "@type": "Person", "name": "Ilya Prigogine" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/ilya-prigogine/in-far-from-equilibrium-conditions-the-concept-of-probability-that/", "about": { "@type": "Thing", "name": "Complexion" }, "@id": "https://sms4smile.com/quotes/ilya-prigogine/in-far-from-equilibrium-conditions-the-concept-of-probability-that/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png", "contentUrl": "https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png", "url": "https://sms4smile.com/quotes/i/6cf/ilya-prigogine-30010_complexion_in-far-from-equilibrium-conditions-the-c_1674681.png", "width": 1080, "height": 1080, "caption": "“In far from equilibrium conditions, the concept of probability that underlies Boltzmann's order principle is…” — Ilya Prigogine", "creditText": "SMS4Smile Quotes", "creator": { "@id": "https://sms4smile.com/quotes/#organization" } } }, { "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://sms4smile.com/" }, { "@type": "ListItem", "position": 2, "name": "Quotes", "item": "https://sms4smile.com/quotes/" }, { "@type": "ListItem", "position": 3, "name": "Ilya Prigogine", "item": "https://sms4smile.com/quotes/author/ilya-prigogine/" }, { "@type": "ListItem", "position": 4, "name": "In far from equilibrium conditions, the...", "item": "https://sms4smile.com/quotes/ilya-prigogine/in-far-from-equilibrium-conditions-the-concept-of-probability-that/" } ], "@id": "https://sms4smile.com/quotes/ilya-prigogine/in-far-from-equilibrium-conditions-the-concept-of-probability-that/#breadcrumb" }, { "@type": "WebSite", "@id": "https://sms4smile.com/quotes/#website", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "publisher": { "@id": "https://sms4smile.com/quotes/#organization" } }, { "@type": "Organization", "@id": "https://sms4smile.com/quotes/#organization", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "logo": { "@type": "ImageObject", "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png", "width": 512, "height": 512 } } ] } ```