spin glasses - 2023 BHSU - Buzzpoints App

Question

If heated above a critical “freezing temperature,” these systems transition to an ordered structure. For 10 points each:

[10m] Name these systems which exhibit geometrical frustration and are described by the Edwards-Anderson model. They consist of a lattice of magnetic dipoles with random alignment.

ANSWER: spin glasses

[10e] One can characterize the phase transition to a spin glass by computing the average of this quantity, which equals negative kT times the average of the log of the partition function. This quantity named for a German scientist is defined as “U minus TS.”

ANSWER: Helmholtz free energy [reject “Gibbs free energy” or “energy”]

[10h] Computing the average of the logarithm of the partition function is hard, but, amazingly, it's somehow easier to use this technique, where you make n identical copies of the system, instead compute the average of the partition function raised to the n power, minus 1, all over n, then take the limit as n approaches zero.

ANSWER: replica trick [or replica method]

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Summary


2023 BHSU @ Berkeley	03/18/2023	Y	3	16.67	100%	67%	0%
2023 BHSU @ Maryland	03/11/2023	Y	3	13.33	100%	33%	0%
2023 BHSU @ Northwestern	02/25/2023	Y	6	15.00	83%	50%	17%
2023 BHSU Online	04/15/2023	Y	4	22.50	100%	75%	50%
2023 BHSU @ Sheffield	04/15/2023	Y	2	5.00	50%	0%	0%
2023 BHSU @ Waterloo	04/15/2023	Y	3	13.33	67%	33%	33%
2023 BHSU @ Yale	04/08/2023	Y	3	13.33	0%	33%	100%
2023 BHSU @ Yale	04/08/2023	Y	3	13.33	100%	33%	0%

Data


Berkeley B	Stanford A	10	10	0	20
[Insert Lawyer Joke Here]	It's Joever	10	10	0	20
Stanford B	Berkeley A	0	10	0	10
Glass Onyen: A Knives Out Mystery	Rutgers Diaspora	10	10	0	20
Maryland B+	Maryland A	0	10	0	10
Fan-tastic Negs and Where to Find Them	The Perfection of Wisdom in 8,000 Negs	0	10	0	10
Brownstein et al.	Northwestern	0	10	0	10
Illinois	Chicago A	0	10	0	10
Epic	Purdue	10	10	0	20
Amartya Senpai Notice Me	Michigan	10	10	10	30
OSU	Chicago B+	10	0	0	10
WUSTL	Mojo Shojo	0	10	0	10
Cornell B-	Dr. Christopher Manners, MD - Samarra, Iraq	0	10	0	10
Cornell C++	Rollin in from Sturgis, The Cheyne Gang	10	10	0	20
The Enrique Trastamara Military Academy B	Houston and friends	10	10	10	30
Hutto Hippos	What is BH! And you are asking me? BHSU	10	10	10	30
Broken Imperial Nomads	Oxford Hornets	0	10	0	10
Buzzers Karamazov	Magisters Ludi	0	0	0	0
Milan et al.	Cameron et al.	0	10	0	10
Parth et al.	The Vulture's Guide to Buzz	0	0	0	0
The Passion According to C.H.	Neg 5! Playing Quizbowl, Liddy Style	10	10	10	30
nats is supposed to mean you all have gone soft	meet the new weird, same as the old weird	10	0	0	10
nats is supposed to mean you all have gone soft	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	0	0	0
nats is supposed to mean you all have gone soft	meet the new weird, same as the old weird	10	0	10	20
nats is supposed to mean you all have gone soft	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	0	10	10
UG Championship Players (and Mazin)	Olmo (Bonus) Bagelry	0	0	0	0
UG Championship Players (and Mazin)	meet the new weird, same as the old weird	10	0	0	10
UG Championship Players (and Mazin)	Olmo (Bonus) Bagelry	0	0	10	10
UG Championship Players (and Mazin)	meet the new weird, same as the old weird	10	0	10	20
Columbia B	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	0	0	0
Columbia B	Olmo (Bonus) Bagelry	0	0	0	0
Columbia B	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	0	10	10
Columbia B	Olmo (Bonus) Bagelry	0	0	10	10
Columbia B	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	10	0	10
Columbia B	Olmo (Bonus) Bagelry	0	10	0	10
Columbia B	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	10	10	20
Columbia B	Olmo (Bonus) Bagelry	0	10	10	20
UG Championship Players (and Mazin)	Olmo (Bonus) Bagelry	0	10	0	10
UG Championship Players (and Mazin)	meet the new weird, same as the old weird	10	10	0	20
UG Championship Players (and Mazin)	Olmo (Bonus) Bagelry	0	10	10	20
UG Championship Players (and Mazin)	meet the new weird, same as the old weird	10	10	10	30
nats is supposed to mean you all have gone soft	meet the new weird, same as the old weird	10	10	0	20
nats is supposed to mean you all have gone soft	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	10	0	10
nats is supposed to mean you all have gone soft	meet the new weird, same as the old weird	10	10	10	30
nats is supposed to mean you all have gone soft	Watching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again	0	10	10	20