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Chapter 8: Q. 8.16 (page 341)

Consider an Ising model of 100 elementary dipoles. Suppose you wish to calculate the partition function for this system, using a computer that can compute one billion terms of the partition function per second. How long must you wait for the answer?

Short Answer

Expert verified

The total time required is4.13脳1013years

Step by step solution

01

Step 1. Given information

The equation for the partition function:

Z=鈭�sie-尾U

For Nnumber of dipoles, each has two possibilities of alignments, the number of terms in this sum is 2N.

Given total number of dipoles in the system is } 100 \text {. Number of states in the system= 2100

The total number of partition function is,

z=109

02

Step 2. The time required is 

t=nz

=2100109

=1.26脳1021s1.0yr365days1.0day24h1.0h3600s

=4.13脳1013years

Thus, the total time required is =4.13脳1013years

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Most popular questions from this chapter

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