In rails I want to log some information in a different log file and not the standard development.log or production.log. I want to do this logging from a model class.
You can create a Logger object yourself from inside any model. Just pass the file name to the constructor and use the object like the usual Rails logger:
class User < ActiveRecord::Base
  def my_logger
    @@my_logger ||= Logger.new("#{Rails.root}/log/my.log")
  end
  def before_save
    my_logger.info("Creating user with name #{self.name}")
  end
end
Here I used a class attribute to memoize the logger. This way it won't be created for every single User object that gets created, but you aren't required to do that. Remember also that you can inject the my_logger method directly into the ActiveRecord::Base class (or into some superclass of your own if you don't like to monkey patch too much) to share the code between your app's models.
Update
I made a gem based on the solution below, called multi_logger. Just do this in the initializer:
MultiLogger.add_logger('post')
and call
Rails.logger.post.error('hi')
# or call logger.post.error('hi') if it is accessible.
and you are done.
If you want to code it yourself, see below:
A more complete solution would be to place the following in your lib/ or config/initializers/ directory.
The benefit is that you can setup formatter to prefix timestamps or severity to the logs automatically. This is accessible from anywhere in Rails, and looks neater by using the singleton pattern.
# Custom Post logger
require 'singleton'
class PostLogger < Logger
  include Singleton
  def initialize
    super(Rails.root.join('log/post_error.log'))
    self.formatter = formatter()
    self
  end
  # Optional, but good for prefixing timestamps automatically
  def formatter
    Proc.new{|severity, time, progname, msg|
      formatted_severity = sprintf("%-5s",severity.to_s)
      formatted_time = time.strftime("%Y-%m-%d %H:%M:%S")
      "[#{formatted_severity} #{formatted_time} #{$$}] #{msg.to_s.strip}\n"
    }
  end
  class << self
    delegate :error, :debug, :fatal, :info, :warn, :add, :log, :to => :instance
  end
end
PostLogger.error('hi')
# [ERROR 2012-09-12 10:40:15] hi
I would suggest using Log4r gem for custom logging. Quoting description from its page:
Log4r is a comprehensive and flexible logging library written in Ruby for use in Ruby programs. It features a hierarchical logging system of any number of levels, custom level names, logger inheritance, multiple output destinations per log event, execution tracing, custom formatting, thread safteyness, XML and YAML configuration, and more.